Six decades, three founders, one school. This chapter follows what the marginalist revolution became after the three independent discoveries of the 1870s: a discipline. Where ch. 4 traced the value question across five centuries and treated the marginalist moment as one station in a longer lineage, this chapter takes the marginalist program as its subject and asks what it consolidated into. Walras’s general equilibrium and Marshall’s partial equilibrium as competing offspring of the same revolution. Pareto’s welfare economics. The Methodenstreit. The formalization of economics from literary argument to mathematical model. Von Neumann and Morgenstern’s Theory of Games (1944) closing the toolkit fourteen years after Marshall’s death. The chapter takes a position on what was accomplished and what was foreclosed.
In the early 1870s, three men in three countries, reading different books, asking different questions, arrived at the same answer. William Stanley Jevons in Manchester, Carl Menger in Vienna, Léon Walras in Lausanne — none of them had read the others, and the books they wrote bear almost no surface resemblance. Their answer was that the exchange value of a good is determined by its marginal utility, the additional satisfaction the consumer gains from one more unit of the good. The simultaneity is what asks the question. The chapter has to answer it before it can do anything else.
The genealogical detail of each of the three discoveries is the subject of the book's value-lineage walkthrough, which walks Jevons’s descent from Bentham, Menger’s from Aristotle, and Walras’s from his father and Cournot, and takes its position on the historiography of the simultaneity itself. This chapter starts from the genealogies it has narrated. What the value walkthrough carries is the value-theoretic strand and the question of why three people solved the same problem at the same time. What this chapter carries is what the discipline did with the answer.
The marginalist revolution was not three books. It was the consolidation, over the next sixty years, of a school: a shared apparatus, a shared method, a set of methodological commitments that defined neoclassical economics and that the rest of twentieth-century economic argument would either inherit or revolt against. Three books in 1871–74 is an event. A school is a different kind of object. A school has a recognizable apparatus that practitioners learn during professional training. It has institutions: chairs, journals, students, methodological textbooks. It has a boundary that distinguishes its work from work done outside it. It has an inheritance structure in which each generation builds on the previous one and transmits the framework forward. None of this exists in 1874. By 1944, all of it does, and the apparatus that consolidates is recognizably continuous with the apparatus modern economics still teaches. The intervening decades are the consolidation, and the consolidation is the chapter’s subject.
Two structural shifts make a school out of the three discoveries. The first is methodological: the marginal-utility insight is mathematized into an optimization framework that can be applied to consumers, producers, markets, equilibria, welfare, and strategic interaction without the user re-deriving the foundations each time. By the early twentieth century, an economist trained in the marginalist apparatus could pick up a new problem and translate it into the language of constrained optimization without thinking about the move; by 1944, this fluency was the entry condition for a graduate degree in economics. The second is institutional: the discipline acquires journals, chairs, professional associations, and textbooks that train each generation in the apparatus and define what counts as a contribution. Marshall’s Principles (1890), Edgeworth’s editorship of the Economic Journal from 1891, Pareto’s succession to Walras’s chair at Lausanne in 1893, the founding of the Econometric Society in 1930: each is a brick in the institutional wall the consolidation built.
By 1930, the boundary of the school was visible. Inside it: marginal utility, optimization under constraint, equilibrium analysis as the organizing concept of price formation, methodological individualism (the analytical starting point is the individual choosing agent, not the class or the institution), the positive/normative split (a clean distinction between descriptive analysis of how prices form and prescriptive analysis of what policies to prefer). Outside it: the German historical school, American institutionalism, Marxian political economy, the residual literary tradition that traced back to the classicals. Each of the outside positions produced serious work in the same decades the inside school was consolidating. None could produce a generation of professional economists in the way the inside school could, because none had built the apparatus and the institutional infrastructure that the marginalist program had built. The boundary did not exclude the outside positions by argument. It excluded them by what counted as professional training in economics.
Three motivations, woven together, account for the timing. The first is mathematical readiness. By the 1870s, differential calculus was a routine analytical tool, taught at the engineering schools of France, the German technical universities, and the British scientific reform tradition that Jevons came out of. The marginal step (the move from totals to derivatives, from average to incremental) was a natural extension of analytical apparatus that had already been applied to physics and to engineering for half a century. Cournot had used the derivative in 1838 to model monopoly pricing. The mathematical tool was sitting on the shelf, available to any economist trained well enough to recognize it; the question was when economists would pick it up. Schumpeter’s History of Economic Analysis made this case at length, and at the level of necessary condition it is correct. (The mathematical-readiness condition is anchored at the mathematics node on the timeline.)
The second motivation is political. Capital volume one had appeared in 1867. Marx had taken the labor theory of value (Smith’s, Ricardo’s, refined into socially necessary labor time) and pushed it to its conclusion: if labor produces all value, the wage relation extracts a structural surplus from the worker, and exploitation is not a contingent abuse but the system’s arithmetic. Within four years of Capital, the discipline had three new books proposing that value comes from the consumer rather than the worker, and that the prices of goods reflect the marginal utility of the next unit consumed rather than the labor embodied in production. None of Jevons, Menger, or Walras was responding to Marx in any direct sense. Jevons mentions Marx not at all; Menger’s targets are the German historical school and the labor-cost theorists; Walras was a French liberal whose intellectual world barely touched continental socialism. But the discipline as a whole was carrying a political payload it could not afford, and the marginalist move dissolved the exploitation argument at its root by relocating the source of value. (The full Marxian system, including the political consequences the discipline could not afford, is the subject of ch. 4.)
The third motivation is structural. The classical school had been preoccupied with production, distribution, and the long-run dynamics of an agricultural-and-textile economy — the world that ch. 3 covers as the upstream program the marginalists displaced. By the 1870s, mass-production manufacturing, urban consumption, retail markets, and proliferating consumer goods had made consumer choice rather than producer cost the empirically interesting problem. (The productive transformation that made consumer choice the live question is covered in economic history ch. 7 and ch. 8.) A theory of value built around what consumers want, against what they can afford, fits an industrial-consumer economy in a way the labor theory does not.
The three motivations are not alternatives. The mathematical readiness was a necessary condition. The structural shift made consumer choice the live problem the new theory had to address. The political payload of the labor theory made the new theory’s adoption rapid and unanimous in a way the analytics alone do not explain. Ch. 4 takes its position there at length. This chapter inherits the position and turns to what the consolidation cost.
What follows is the comparative summary of the three genealogies the value lineage walks. The table is a reference, not a re-derivation; the substantive walk lives in the book's value-lineage walkthrough.
| Discoverer | Intellectual tradition | Key work | Problem being solved | Route to marginal utility | Distinctive contribution |
|---|---|---|---|---|---|
| Jevons | English utilitarianism (Bentham, Senior) | Theory of Political Economy (1871) | How to apply hedonic calculus to exchange | Felicific calculus → diminishing pleasure-quantity at the margin | Mathematical theory of exchange grounded in pleasure-pain accounting |
| Menger | Aristotelian categories, German Romantic philosophy | Grundsätze der Volkswirthschaftslehre (1871) | What value relation links a good to a person’s ranked needs | Needs hierarchy + scarcity → relational valuation by want-position | Subjective value without mathematics, founding the Austrian methodological identity |
| Walras | French engineering tradition (Cournot, A. Walras) | Éléments d’économie politique pure (1874) | How to specify the entire economy as a solvable system | Marginal utility as one input to a system of simultaneous equations | General equilibrium — value as joint output of all markets clearing at once |
Drive the move all three discoverers converged on. Drag the quantity up: the marginal utility of the next unit falls while the running total utility flattens. The water-diamond puzzle resolves — the tenth glass of water is nearly worthless though water is vital, because value is set by the last unit, not the total. Switch on the equimarginal view to see the rule a consumer follows across two goods.
Figure 8.5 (interactive). Diminishing marginal utility. As quantity rises, MU of the next unit falls and total utility flattens. The "two goods" view marks where the equimarginal condition $MU_x/P_x = MU_y/P_y$ is met. Drag the slider; flip the view. Synthetic illustration.
Why the last unit, not the total? Because what you would pay for one more glass of water depends on how thirsty you still are — and after ten glasses you are not thirsty at all. Water is vital and cheap; diamonds are useless and dear; the puzzle dissolves the moment value is read off the margin instead of the whole. A consumer spreading a budget across goods keeps buying each until the last dollar buys the same satisfaction everywhere — the equimarginal rule.
With $MU(q)=\dfrac{a}{q+b}$, marginal utility is strictly decreasing in $q$ and total utility $TU(q)=a\,\ln\!\big(\tfrac{q+b}{b}\big)$ is concave — each extra unit adds less than the one before.
A utility-maximizing consumer allocates a budget so the marginal utility per dollar is equalized across goods: $\dfrac{MU_x}{P_x}=\dfrac{MU_y}{P_y}$. That equimarginal condition, not any cardinal "amount" of utility, is what the marginalist apparatus actually requires.
You just watched marginal utility fall as quantity rises. That is the rung where the 600-year value question turned.
For five centuries the question was "what property of a good fixes its value?" — scarcity, labor, cost. The 1870s answered differently: value is not a property of the good at all but a relation between a person and the last unit they consume. The water-diamond puzzle that had defeated Smith dissolves at the margin. This is the first of three rungs this chapter adds to the value thread; the ordinal turn (§8.4) and the Cambridge limit (§8.6) are the next two.
They agreed on the answer. They disagreed on everything else. Jevons wanted economics to become mathematical. Menger thought mathematical formulation would obscure the relational nature of value. Walras wanted to specify the entire economy as a solvable system; Menger wrote a treatise without a single equation. Out of the same conceptual move came three programs that would split the marginalist tradition before its founders had finished writing about each other. The next two sections take the deepest split, the one between Walras and Marshall, and walk what each program achieved and at what cost. The relational view of where the founders, their works, and their school sit in the wider intellectual history is anchored at the marginalist neoclassical era cluster of the timeline. (The Austrian half of Menger’s legacy — subjectivism, methodological individualism, the long line that runs to Mises and Hayek — is the subject of ch. 6; here Menger is the bridge figure who carries the marginalist insight and seeds the divergence that ch. 9 follows.)
Walras wanted the whole economy at once.
The Éléments d’économie politique pure, published in installments between 1874 and 1877, sets out a vision the previous tradition had nothing comparable to. An economy is a network of consumers, each with preferences over goods, each subject to a budget constraint set by what they own and what they can sell. It is also a network of producers — each with a feasible technology, each producing some goods using inputs supplied by consumers. Every market is connected to every other market: the price of bread depends on the price of wheat, on wages, on the price of every alternative good a consumer might buy instead, on the symmetric demands and supplies of every other agent. Walras wrote down the equations. One equation for each consumer’s demand for each good as a function of all prices. One equation for each firm’s supply. A market-clearing condition for each good (quantity demanded equals quantity supplied). The system was as many equations as unknowns. If a solution existed, it determined every price and every quantity at once.
This is the meaning of general equilibrium: the state in which every market in the economy clears simultaneously, with the prices that produce that state jointly determined across all markets. The contrast is with partial equilibrium, the analysis of one market in isolation; that comes in §8.3. What Walras saw was that the value of any single good was not, in any clean sense, a property of that good alone. It was a feature of the equilibrium price vector that satisfied the entire system. Bread does not have a price; the system has a vector of prices, and the price of bread is one component of the vector that makes everything else consistent.
The vision was correct. It was also, in 1874, unusable. Walras did not have the mathematics to prove that the system had a solution. The fixed-point theorems on which the existence proof would eventually depend were eighty years away. Brouwer’s theorem had not been proven; Kakutani’s extension to set-valued correspondences had not been formulated; the topological apparatus of competitive-equilibrium analysis was a mid-twentieth-century construction. What Walras had was a heuristic argument that an equilibrium would be reached: tâtonnement, an iterated re-bidding procedure in which a hypothetical auctioneer announces a price vector, observes the resulting excess demands and supplies, and adjusts the prices in the direction that reduces the imbalances, repeating until the imbalances vanish. The procedure was suggestive. It was not a proof. Whether the procedure converges in any general setting is a question modern economics still cannot answer cleanly, and Walras knew the heuristic was a placeholder.
The auctioneer is a fiction. No real market has one; prices in real economies emerge from millions of bilateral trades, posted offers, and bargaining episodes, with no central coordinator announcing a vector of trial prices and adjusting it until the system clears. Walras knew this and said so. The auctioneer was a thought experiment about how prices might in principle be set so that the system reached equilibrium, not a model of how prices actually do get set. The thought experiment served two purposes. It made the equilibrium concept precise (an equilibrium is a price vector at which the auctioneer’s adjustment process would stop), and it gestured at a stability argument (under suitable conditions on excess-demand functions, the adjustment process would converge). The first purpose held up. The second has not. Modern general-equilibrium theory has shown that tâtonnement convergence requires conditions on aggregate excess-demand behavior that are not generically satisfied, and the Sonnenschein-Mantel-Debreu results of the 1970s established that aggregate excess-demand functions, derived from individual rational behavior, can take essentially arbitrary shapes. The auctioneer’s adjustment process can fail to converge for reasons that have nothing to do with anything pathological in the underlying preferences and technologies.
He proved one result. Sum the value of every consumer’s excess demand across all goods, and the total is identically zero (each consumer’s spending equals each consumer’s income, by the budget constraint, and every dollar of demand is matched somewhere by a dollar of supply). The same identity holds when summed across all markets: the value of excess demand summed across all markets is identically zero. This is Walras’s Law. One of its corollaries is that if all markets but one clear, the last market must clear automatically; the system has one fewer independent equation than it appears to have, which matters for any attempt at an existence proof. Walras stated it. Modern textbooks still teach it, in the same form. (The formal version of Walras’s Law and its role in modern general-equilibrium proofs lives in economics ch. 11.)
What does “every market at once” actually do? Press Run tâtonnement and watch Walras’s auctioneer adjust the price of good 1 (good 2 is the numéraire) step by step until excess demand hits zero. Drag the starting price to see it converge from anywhere — and notice how many steps it takes. That slowness is the point: the vision was right and, in 1874, unusable. The convergence shown here is the well-behaved case; modern theory (Sonnenschein-Mantel-Debreu) shows it can fail in general.
Figure 8.6 (interactive). Walrasian tâtonnement on a two-good exchange economy. The auctioneer raises the price where there is excess demand and lowers it where there is excess supply, iterating until the market clears. Press Run; drag the starting price. Synthetic illustration of the convergent case.
The auctioneer is a fiction — no real market has one. But the thought experiment makes the equilibrium concept precise: a price vector is an equilibrium exactly when the adjustment process would stop there. Walras could describe the process; he could not prove it always reaches a stopping point. Watching it grind through many steps for one good is a hint at why specifying it for thousands of interlocking markets had to wait eighty years for the mathematics.
Walras’s Law: summed across all markets, the value of excess demand is identically zero, $\sum_i p_i\, z_i(p) \equiv 0$. So if every market but one clears, the last clears automatically.
Tâtonnement updates the price toward excess demand: $p_1^{(t+1)} = p_1^{(t)} + \lambda\, z_1(p^{(t)})$, stopping when $z_1(p^\*) = 0$. Convergence requires conditions on aggregate excess demand that are not generically satisfied.
Walras’s answer is the first prong of a fork the whole market-structure lineage inherits.
Walras wanted the whole economy in one system of equations: every price determined jointly, value a property of the equilibrium vector rather than of any single good. It was the more complete framework and, in 1874, the unusable one. The fork opens here — "every market at once" against Marshall’s "one at a time, other things equal" (§8.3) — and the discipline is still living with the choice, all the way to modern mechanism design.
The proof Walras could not provide arrived in 1954. Kenneth Arrow and Gérard Debreu specified an economy in which every consumer had a preference ordering and a budget constraint, every producer a feasible production set, every good identified by physical type and by the contingency in which it was delivered. They proved, under conditions on preferences and technologies (continuity, convexity, completeness), that a competitive equilibrium price vector and allocation exist. The proof used the fixed-point theorems Walras had not had. The formal apparatus, the welfare theorems that follow from existence, and the topological structure of competitive equilibrium all live in economics ch. 11. What matters for this chapter is that Walras posed the question eighty years before anyone could answer it. The lineage runs Walras → Pareto → Arrow-Debreu, and the eighty-year gap measures both the ambition of Walras’s framing and the cost of getting there before the tools existed.
Premature is the wrong word for what the Éléments was. Premature implies that the work would have been better timed later. Walras’s framing was the foundation a later generation of mathematical economists would be standing on, and they could only stand on it because he had laid it down. What the work was, instead, was unfinished. It posed the right question, supplied a heuristic that pointed at the right answer, and waited for the mathematics to catch up. By the time Arrow and Debreu finished the proof, an entire generation of economists in the English-speaking profession had been working with a different framework, one that did not need the mathematics to be tractable on its own terms. That framework was Marshall’s. Marshall thought Walras was right but useless, and the next section is the case for why.
Marshall chose the usable version.
Alfred Marshall was Cambridge-trained in mathematics and held the chair in political economy from 1885. He had read Jevons closely, he had read Mill and Ricardo before that, and he was unwilling to choose between marginalist demand and classical cost. The Principles of Economics (1890) is the synthesis: supply schedules tracking the cost of production at different output levels, demand schedules tracking the marginal utility of the good at different consumption levels, market price the point at which the two schedules meet. The metaphor was the scissors. Disputing whether value comes from utility or cost, Marshall wrote, is like disputing which blade of a pair of scissors cuts a piece of paper. Both blades cut. Neither cuts alone. (The Principles’s role as the historical resolution of the cost-versus-utility debate is the subject of the book's value-lineage walkthrough; here it appears as the methodological program that won the English-speaking profession.)
What Marshall built around the scissors was partial equilibrium: the analysis of one market in isolation, holding the prices and quantities of all other markets fixed. The conceit is methodological. The bread market can be analyzed on the assumption that wheat prices, wages, butter prices, and the rest of the economy are given, and the analyst studies the supply and demand for bread alone. The conceit is enforced by the phrase ceteris paribus, “other things being equal”, which Marshall used as an analytical instrument and not just a hedge. Treat the rest of the economy as fixed. Vary the price of bread. Trace out the demand schedule. Trace out the supply schedule. Find the intersection. That is the equilibrium for this market under these assumed conditions for everything else. The framework is portable: replace bread with any good and the procedure is identical.
This is not a lesser version of Walras. It is a different methodological choice with a different cost structure. Walras’s framework is correct in principle — everything depends on everything else, and the equilibrium price vector is jointly determined. Marshall’s framework brackets the joint determination on purpose. The brackets are not denials. They are stipulations: in the analysis of this market, those interactions are being held constant so the analyst can think about something at all. The cost is real. Cross-market effects (the impact of a wheat-price shift on the bread market through input cost, the impact of a wage change on demand through income, the chain reactions through substitutes and complements) are precisely what partial equilibrium suppresses. What it gains is tractability. A marketwise equilibrium can be drawn on a piece of paper. A general equilibrium cannot, and in 1890 it could not even be solved analytically.
Marshall thought the loss was acceptable because he was building a discipline, not a theorem. The Principles is structured to be teachable: each chapter introduces an apparatus, applies it to a market, and gives the reader the tools to do the same analysis on a different market. Consumer surplus (the area under the demand curve above the price, the gain to consumers from being able to buy at the market price rather than at their reservation prices) was Marshall’s, named and defined operationally so that it could be measured and applied to policy. Producer surplus followed by symmetry. The Marshallian cross diagram (supply and demand intersecting on a quantity-price plane) is the visual artifact still taught in every introductory course. The short-run/long-run distinction (in the short run the capital stock is fixed and supply is constrained; in the long run capital adjusts and supply is more elastic) gave the framework dynamic depth without sacrificing the partial-equilibrium scaffold. (The modern descendants of Marshall’s machinery, taught at introductory level, live in economics ch. 1.)
Marshall’s scissors: price is set jointly, neither blade alone. Drag the demand shifter (a taste change or income change) and the supply shifter (a cost change) and watch the crossing move — both the equilibrium price and quantity respond. Disputing whether value comes from utility or cost, Marshall wrote, is like disputing which blade of a pair of scissors cuts the paper. The interactive makes the point literal: move either blade and the cut moves.
Figure 8.7 (interactive). The Marshallian cross. Demand $P=\alpha-\beta Q$ and supply $P=\gamma+\delta Q$; equilibrium where they meet. Shifting either schedule moves both price and quantity — the joint determination Marshall’s scissors metaphor names. Drag both shifters. Synthetic illustration.
Neither blade cuts alone. A price is not a property the good carries; it is the point where buyers’ willingness to pay meets sellers’ willingness to supply. Push demand up and price and quantity both rise; make production cheaper and price falls while quantity rises. Asking whether utility or cost "really" sets the price is asking which blade does the cutting — the wrong question, because both do.
Equilibrium solves $\alpha-\beta Q = \gamma+\delta Q$, giving $Q^\* = \dfrac{\alpha-\gamma}{\beta+\delta}$ and $P^\* = \gamma + \delta Q^\*$. Both $P^\*$ and $Q^\*$ depend on the intercepts of both schedules — the joint determination.
Consumer surplus is the area under the demand curve above $P^\*$; producer surplus the area above supply below $P^\*$. Marshall named and defined both operationally so they could be measured and applied to policy.
Marshall takes the other prong of the fork — and wins the profession with it.
Marshall wanted one market you could actually teach: hold everything else fixed, study supply and demand for a single good. Less complete than Walras, but usable — and usable is what built the discipline. The discipline is still living with that choice: partial equilibrium on the policy desk, general equilibrium in the theory seminar, and a century of argument about when the bracketed cross-market effects come back to bite.
What this bought the discipline was a usable analytical language. By 1900, supply-and-demand reasoning had become the lingua franca of English-speaking economics. Cambridge-trained economists fanned out into the British civil service, the Treasury, the universities, the colonial administration; Marshall’s students included Pigou, Keynes, Robertson, Lavington. The framework was not just published; it was institutionalized. A generation of policy work (welfare losses from monopoly, gains from trade, the incidence of taxation, the analysis of public goods) was built on Marshall’s partial-equilibrium scaffolding, and the policy work was good. Principles ran to eight editions in Marshall’s lifetime. (Where Marshall and the work sit in the relational map of the marginalist cluster: the marshall node and the principles_economics_marshall work node.)
What it cost was the system view Walras had built. Cross-market effects do not vanish because ceteris paribus says they should be ignored; they continue to operate, and a Marshallian analysis that misses them produces wrong answers when they matter. Income effects, the change in demand for one good caused by a price change in another good through the consumer’s shifting purchasing power, fall outside partial equilibrium by construction. Tax incidence on a small market is approximately right under partial equilibrium; tax incidence on a large market with general-equilibrium feedback is qualitatively different. The discipline accepted the trade-off because the alternative, in 1890, was no formal apparatus at all.
The clearest way to see what was bracketed is to apply both frameworks to the same question. Consider a tariff on imported wheat in a small open economy. The pair below is the worked verdict.
| Dimension | GE analysis (Walras) | PE analysis (Marshall) |
|---|---|---|
| Scope of analysis | All markets simultaneously | One market in isolation, others fixed |
| Price determination | Equilibrium price vector for the whole economy | Market price at intersection of supply and demand |
| Cross-market effects | Captured by construction (everything affects everything) | Excluded by ceteris paribus |
| Tractability | Analytically intractable until 1954 | Diagrammatic; teachable in an afternoon |
| Policy implication for the wheat tariff | Tariff raises wheat price, lowers wages in wheat-using sectors, shifts demand across substitutes, alters real income everywhere; net welfare effect requires solving the system | Tariff raises wheat price; deadweight loss equals area between supply and demand minus tariff revenue rectangle; clean, immediate, computable |
| What’s missed | Nothing; everything that matters is in the model | Income effects on demand; cross-substitution into bread alternatives; wage feedback on the demand for wheat through worker income; second-round effects in transport and milling |
Impose a tariff on good 1 and toggle the lens. Under partial equilibrium, only the tariffed market re-solves — good 2’s price never moves. Under general equilibrium, good 2’s price moves too, because the system lets the shock ripple. The two lenses give different answers to the same question; that difference, not a difference in vocabulary, is what the GE/PE choice costs. PE buys tractability; what it hides is the cross-market column.
Figure 8.8 (interactive). The same tariff, two lenses. PE re-prices only the tariffed market (good 2 fixed by ceteris paribus); GE re-solves the whole system so the cross-market effect on good 2 appears. Set the tariff; flip the lens. Synthetic two-good illustration; cf. the static verdict in Figure 8.2.
A tariff here ripples to there — but only if you let the whole system move. Marshall’s ceteris paribus freezes good 2, so a partial-equilibrium analyst sees a clean deadweight-loss triangle and nothing else. The general-equilibrium analyst sees good 2’s price shift as buyers substitute and incomes change. When those cross-market feedbacks are small, PE is approximately right; when they are large, the two lenses disagree about the answer, not just the method.
PE solves $z_1(p_1;\,\bar p_2)=0$ holding $p_2=\bar p_2$ fixed. GE solves the full system $z_1(p)=0,\ z_2(p)=0$ jointly, so a wedge on good 1 propagates to $p_2$ through the cross-price terms in the excess-demand functions.
The divergence between the two equilibria measures exactly what ceteris paribus brackets: the second-round, cross-market adjustments PE assumes away.
Marshall’s framework wins the policy desk and loses the system question. By the early twentieth century, the English-speaking profession had effectively divided the labor: working economists used partial equilibrium because it was usable; the general-equilibrium program continued at Lausanne, where Vilfredo Pareto inherited Walras’s chair and pushed the program forward. The next section takes Pareto and a methodological battle that determined which kind of economics was going to count as economics at all. (Marshall’s wider role in the marginalist consolidation, including his founding influence on Cambridge, his organizational shaping of the British profession, and his pedagogical legacy, threads through the rest of the chapter.)
Pareto asked whether welfare economics could be done without measuring happiness. In the same decades, Menger and Schmoller were fighting a battle that would determine what counted as valid economic knowledge for the next century. Both threads flow from the marginalist revolution; both fed forward into the formalization that §8.5 takes up.
The welfare problem the marginalists had inherited from Bentham was that hedonic quantities were not, in any operational sense, measurable. Jevons had asserted that utility was a measurable quantity in principle. No procedure for measuring it had ever been demonstrated, and the proposition that one person’s utility could be added to or compared with another’s (a precondition for utilitarian welfare arithmetic) had no empirical basis at all. The classical utilitarian welfare framework required interpersonal comparison: a policy is good if it increases the sum of utilities across the population, and that sum requires that one person’s utility be commensurable with another’s. The marginalists had accepted the premise from Bentham; the marginalists had not solved the comparability problem.
Vilfredo Pareto — an Italian engineer who succeeded Walras at Lausanne and published the Manual of Political Economy in 1906 — took the comparability problem and reformulated the welfare question to avoid it. He observed that the marginalist apparatus did not require cardinal utility (utility as a measurable magnitude with meaningful zero and meaningful units). All the apparatus needed was ordinal utility: preferences as a ranking, a relation that says “I prefer this bundle to that one,” without claiming that the difference between any two bundles can be quantified. The marginal-utility apparatus could be rebuilt on indifference curves (sets of bundles between which the consumer is indifferent), and the analysis went through without ever attaching a number to a utility level. This is the move that lets twentieth-century economics dispense with the metaphysics of pleasure-pain quantity that Jevons had inherited from Bentham.
On ordinal utility, Pareto then defined a welfare criterion that did not require interpersonal comparison. An allocation of goods is Pareto optimal if no reallocation can make at least one person better off (in their own preference ordering) without making at least one other person worse off. The criterion compares only each person’s own ranking against itself before and after a change. It says nothing about whether one person’s preferences are stronger than another’s, whether a rich person’s loss is bigger or smaller than a poor person’s gain, whether the distribution that emerges from market trading is fair. It says only whether the allocation can be improved without making anyone worse off. If not, it is Pareto optimal. The criterion is weak (most allocations are Pareto optimal in this sense, including extremely unequal ones), but it is rigorous, and it does not depend on a measurement that nobody has ever performed. The Edgeworth box (a diagram showing two goods and two consumers, with the contract curve marking the locus of Pareto optimal allocations) made the criterion visualizable. (The formal welfare-economics framework that descends from Pareto, including the welfare theorems and modern social-choice machinery, lives in economics ch. 3 and ch. 11. Where Pareto sits in the marginalist cluster: the pareto node.)
What Pareto bought the discipline was a welfare framework that could survive the discrediting of utilitarian psychology. Hedonic quantities turned out not to be measurable; cardinal utility was, by the 1930s, an embarrassment to anyone who took the empirical claims of utilitarianism seriously. The Pareto reformulation let the analytical apparatus continue to function on the weaker base of ordinal preference. The cost was real and is still being paid. A welfare criterion that refuses interpersonal comparison cannot say anything substantive about distribution. It cannot say that taking ten dollars from a millionaire to give five dollars to a starving child is welfare-improving, because the comparison is forbidden. The framework brackets the question that classical political economy had treated as central: how should the social product be divided? The bracketing is not denial. It is methodological: the framework does not have the resources to address the question. Whether that bracketing was a gain or a loss depends on what one thinks economics is for, and modern welfare economics has been arguing about it ever since.
Pareto’s ordinal turn strips the value question down further — and shows how little it needs.
The marginalists had inherited cardinal "utils" from Bentham — a measurable amount of satisfaction nobody could ever measure. Pareto showed the apparatus never needed the number: a ranking is enough. Value stops being any quantity a good carries and becomes a relation in a preference ordering, fixed (once Walras’s system clears) as one component of a price vector. The thread’s arc is visible here: from "property of a good" (§8.1) to "relation the system fixes" — with the Cambridge limit (§8.6) the last rung.
The other thread of the section is the methodological battle that defined the era. In the 1880s, Menger and Gustav von Schmoller fought the Methodenstreit, “the battle of methods,” over what counts as valid economic knowledge. The exchange ran in pamphlets and reviews from 1883 onward, with Menger publishing Untersuchungen über die Methode in 1883 and Schmoller responding through the journal of the German historical school he led. The battle has the surface form of a dispute between two academics. Its substance is the question that every methodology debate in economics for the next century would inherit.
Menger’s position, at its strongest form, was that economic theory yields universal laws by deductive reasoning from first principles about human action. Goods, value, exchange, and price are categories of human conduct, and the structure of those categories is not contingent on any particular society or epoch. A theory of marginal utility, properly derived, applies to medieval Florence, to Bismarckian Berlin, to Vienna in 1880, to anywhere humans rank wants against scarce goods. Historical particulars are illustrations of the theory, not sources of it. To replace deductive reasoning with historical induction is to build a discipline that can describe what happened in particular places at particular times but that cannot say anything general about the structure of economic life as such. Menger thought this was a fatal mistake about what theory is for.
Schmoller’s position, at its strongest form, was that economic phenomena are historically embedded and that any theory built without institutional, legal, and social context is empty formalism. Prices in Bismarckian Germany are determined by tariff laws, by the structure of the universal banks, by the cartels permitted under German commercial law, by the labor regulations that obtained, by the institutional arrangements of guilds, corporations, and cooperatives that organized German production. A “general” theory of price formation that abstracted from all of this was either trivially true (people prefer more to less) or substantively false (because the actual prices in actual markets reflect the institutions, not just the preferences and the technologies). Theory without institutional context, on Schmoller’s view, was not theory at all; it was a formal exercise that confused mathematical neatness with empirical traction. (The German historical school’s position emerged out of the German economic context the C-book does not narrate but the B-book does; for the catch-up industrialization that produced the German economic conditions Schmoller was theorizing, see economic history ch. 8.)
Neither side fully won. Schmoller was not refuted; the German historical school continued to produce institutional and economic-historical work for another generation, and the substance of his complaint (that theory without institutional context produces wrong policy answers) is a permanent live insight in economics. Menger’s side carried the day on the trajectory question. The discipline as a whole increasingly took deductive theoretical work as the core activity and treated historical and institutional work as supplementary. The mathematical formalization that runs from the 1880s through Edgeworth, Fisher, Pareto, and the postwar generation is on Menger’s side of the battle. The historical school’s descendants ended up not in mainstream economics but in economic history, in institutional economics, and (later) in the heterodox traditions that the discipline has tolerated at its margins. Whether this was the right outcome is something the chapter takes a position on in §8.6, but the directional fact is settled: the Methodenstreit set the template, and the template Menger drew prevailed on the path the discipline actually took.
What is striking about the Methodenstreit is how durable the template has been. Every subsequent methodological argument in economics has run on lines the original battle drew. Mises’s praxeology against the historical and statistical tradition. Friedman’s “Methodology of Positive Economics” against institutional and post-Keynesian objections. The new classical insistence on microfoundations against the empirical Keynesian tradition. The credibility revolution’s preference for design-based empirics over structural modeling. The shape of the disagreement is recognizably the same: deductive theory yielding portable structural laws on one side, historically and institutionally grounded analysis on the other, each accusing the other of doing something that is not really economics. (The Austrian school’s inheritance of the Menger position as foundational identity is the subject of ch. 6.) The template Menger drew did not just shape the marginalist generation. It shaped what the discipline would become.
In the three decades that ran from Walras’s Éléments through Edgeworth’s Mathematical Psychics and Fisher’s 1892 dissertation to the early Pareto, the discipline changed how it wrote. The classical generation had argued in extended prose, anchored in moral philosophy and historical illustration; the marginalist generation argued in equations, derivations, and structural assumptions stated as axioms. By 1900, economics no longer sounded like Adam Smith.
Below is the same analytical point, made twice. The first passage is from a literary tradition; the second from the formalization that displaced it. The two passages are not making different arguments. They are making the same argument in different registers, and the difference between the registers is what the section is about.
Ricardo, Principles of Political Economy and Taxation (1817), ch. 1
“Possessing utility, commodities derive their exchangeable value from two sources: from their scarcity, and from the quantity of labour required to obtain them. There are some commodities, the value of which is determined by their scarcity alone... These commodities, however, form a very small part of the mass of commodities daily exchanged in the market. By far the greatest part of those goods which are the objects of desire, are procured by labour; and they may be multiplied... almost without any assignable limit, if we are disposed to bestow the labour necessary to obtain them.”
Fisher, Mathematical Investigations in the Theory of Value and Prices (1892), §6
“The conditions of equilibrium are: (1) for each consumer, the marginal utility of every commodity divided by its price equals a common ratio (the marginal utility of money); (2) for each producer, the marginal cost of every commodity equals its price. The first determines the demand functions; the second the supply functions. Equilibrium is the simultaneous solution of these systems for the price vector under which markets clear.”
Edgeworth’s Mathematical Psychics (1881), Walras’s Éléments, Fisher’s Mathematical Investigations in the Theory of Value and Prices (1892), Pareto’s Manuel: by the early twentieth century, an analytical economist writing for other analytical economists was writing in equations and diagrams. The classical political economists had embedded their economic arguments in moral-philosophical reasoning, in historical narrative, in extended literary prose. The Smith of the Wealth of Nations moves between the analysis of pin manufacture and the discussion of the proper relations of master and workman, between price formation and the moral psychology of self-interest, all in the same register and at the same level of abstraction. By 1900 a treatise on price formation was a different object. It had equations, it had derivations, it had structural assumptions stated as axioms, and it cited prior works the way a physics paper cites prior works (for results invoked) rather than the way a moral essay cites Aristotle (for authority). The discipline had changed media, and the medium had changed what could be said in it.
Formalization, in this chapter’s sense, is the shift from literary argument to mathematical model as the discipline’s native form. It is not a moment but a process, running from Cournot in 1838 through Edgeworth and Fisher to Arrow-Debreu and beyond. Two forces drove it. The first was internal to marginalism. The marginal step is calculus; once one decides that value is determined by marginal utility under diminishing returns, the natural way to state the resulting analytical structure is in derivatives, optimization conditions, and equilibrium equations. Optimization is what calculus does. To work in marginalist economics without using the calculus is to refuse the mathematics that the substantive content invites, and Menger’s refusal was the exception that proved the rule. By Edgeworth and Fisher, the mathematical apparatus was not an option imposed on the substance; it was the medium that carried the substance most efficiently. (Where mathematics sits in the relational view of the marginalist cluster: the mathematics node on the timeline.)
The second force was ideological, and it is what the Methodenstreit gave the discipline. Once Menger’s side had won the trajectory question, mathematical formulation came to function as the marker of rigor. Mathematics meant science; literary argument meant something prior to science, something not yet rigorous. The institutional incentives followed. A young economist seeking academic credit and professional standing wrote in equations because equations were what the senior professoriate respected. By 1920, an economist writing without mathematics had to justify the choice; an economist writing with mathematics did not. This was an institutional achievement, not just a methodological one. The discipline had defined its own boundary in mathematical terms, and the boundary determined who got to publish, who got hired, and what counted as a contribution.
The gains were real and substantive. Mathematical formulation forces the analyst to state the assumptions on which the conclusion depends, and stated assumptions can be tested, varied, and falsified. Edgeworth could prove things that Smith could only assert. Fisher could derive consequences that Mill had stated as plausible but had not pinned down. The transition gave economics a structure of cumulative results: each generation of economists could stand on the formal apparatus the previous generation had built, modify a single assumption, derive new consequences. The discipline acquired a professional identity as a science, with its own apparatus, its own journals, its own training requirements, its own internal standards. The cumulative-progress account was not delusional. It described something that was actually happening.
What the transition cost has been harder to acknowledge. The literary tradition could carry — in the same register and at the same level of analytical seriousness — the institutional details, the historical context, the moral and political stakes that the mathematical tradition had no clean way to incorporate. Smith on the East India Company, Mill on the rights of workers, Marx on alienation, Schmoller on the German cartel system: these arguments live or die on substantive engagement with what the actual institutions are doing, and they do not translate without remainder into formal models. To read modern economics is to read a discipline that has trained itself to bracket exactly what the literary tradition treated as its working material. The bracketing is not refusal of the substance. It is unable to engage with it inside the framework, and the framework is what the discipline now has. Distributive questions, institutional content, historical embeddedness: each survives in modern economics only where it can be expressed in the mathematical apparatus, and where it cannot be so expressed it migrates outward into economic history, into institutional economics, into the heterodox margins, into the territory of political theory. (Fisher’s monetary theory is one strand of the formalization program; the monetary-institutional context the theory was responding to is the subject of economic history ch. 11.)
One branch of the formalization program needs naming because it threads forward into a later chapter. Econometrics emerged in the 1930s as the empirical wing of mathematical economics, with Ragnar Frisch coining the term and founding the Econometric Society in 1930, with Trygve Haavelmo’s 1944 monograph laying the probabilistic foundations of structural estimation, and with the Cowles Commission at Chicago institutionalizing the methodological program from the late 1930s onward. The credibility revolution that transformed empirical economics in the 1990s and 2000s is downstream of this lineage; the standalone treatment lives in economics ch. 10. For this chapter, econometrics is one dimension of the formalization that §8.6 will close. Walras, Edgeworth, Fisher, Pareto, Frisch, Haavelmo: each made a methodological choice to write economics in mathematics, and each choice contributed to the discipline that would, by 1944, have a complete neoclassical toolkit ready to defend the orthodoxy that Keynes was about to challenge.
The marginalist-era node on the trade-theory thread: comparative advantage gets its microfoundation.
Ricardo had comparative advantage as a result; the formalizing generation gave it a mechanism. Heckscher (1919) and Ohlin (1933) tied what a country exports to what it is abundant in — capital-rich countries export capital-intensive goods, labor-rich countries labor-intensive ones. That factor-endowment account is the apparatus-origin the modern gravity-and-HO trade lineage matures from.
The marginalist-era node on the labor thread: marginal product, and the monopsony qualification.
Clark (1899) extended the marginal apparatus to factor pricing: a worker is paid the marginal product of labor. Robinson (1933) qualified it — only if the employer has no power over the wage; under monopsony the wage falls below marginal product. That origin node is where the credibility-revolution labor lineage (minimum-wage natural experiments and all) starts.
The empirical branch of formalization, named here: how a theory gets tested.
Before you can test a theory you need a theory of testing. Frisch coined "econometrics" and founded the Econometric Society (1930–33); Haavelmo (1944) gave it probabilistic foundations, turning estimation into inference under a stated data-generating process. That is the methodological origin the Cowles-to-credibility lineage matures from — the long argument over what counts as evidence in economics starts at this node.
The toolkit took until 1944 to close. By the late 1930s, the marginalist apparatus had filled out at every level except two: the utility concept the founders had introduced was still operating without rigorous foundation, and the price-taking competitive economy the framework modeled had no clean way to handle a small number of strategic agents whose choices depended on each others’. John von Neumann and Oskar Morgenstern, working through the early war years at Princeton, supplied both pieces in a single book.
Theory of Games and Economic Behavior did two things at once. It axiomatized expected utility, providing the first rigorous foundation for the utility concept the marginalists had introduced intuitively. And it founded game theory, providing a framework for strategic interaction that the price-taking competitive economy of the marginalist tradition had no clean way to handle. Both contributions came out of John von Neumann’s mathematical agenda and Oskar Morgenstern’s economic agenda, met during their wartime years at the Institute for Advanced Study in Princeton. The book was 625 pages, dense, and largely unread for a decade. Its influence ran through the next two generations of economic theory, and the toolkit it codified is the toolkit modern economics has been working in ever since.
The expected-utility axiomatization solved a problem the marginalist tradition had carried as a soft spot. Utility had been treated as something the consumer maximized under uncertainty, which required combining utilities of different outcomes weighted by their probabilities, but the operation of weighting and adding utilities had no formal foundation. Von Neumann and Morgenstern showed that if a person’s preferences over uncertain prospects satisfy four axioms, the preferences can be represented as the expected value of a utility function over outcomes; that is, the person can be modeled as if they were maximizing expected utility. The axioms are stated as rationality requirements on choice; the representation theorem follows. This is the formal foundation that lets modern economics treat decision-making under uncertainty inside the same framework that handles certain choice. (The full game-theory apparatus, including the modern formalization of strategic interaction, equilibrium concepts, and mechanism design, lives in economics ch. 12.)
Independence is the axiom behavioral economics would later challenge — Allais 1953, Kahneman-Tversky 1979.
In 1944 a hunch about choice under risk became a theorem — and planted the axiom the lab would later break.
Von Neumann and Morgenstern showed that if your preferences over gambles obey four axioms — completeness, transitivity, continuity, independence — you can be modeled as if you maximize expected utility. "Rational choice under risk" stopped being a hunch and became a representation theorem. The fourth axiom, independence, is the rung that wouldn’t survive the lab: Allais (1953) and Kahneman-Tversky (1979) built the counterexamples that launched behavioral economics.
Game theory was the second contribution and the larger long-run change. The marginalist apparatus handled markets in which each agent treated prices as given and chose quantities. The framework had no clean way to handle a small number of strategic agents, each of whom takes the others’ choices into account when making their own. Cournot had treated duopoly in 1838; little had progressed beyond it for a century. Von Neumann and Morgenstern provided the general framework. A game has players, strategies, payoffs, and equilibrium concepts; bilateral monopoly, oligopoly, bargaining, voting, war, and bidding become objects of formal analysis under a unified apparatus. Expected utility gave the players well-defined preferences; game theory gave the structure within which they interact. (Where von Neumann and the work sit relationally: the von_neumann node and the theory_of_games work node. The behavioral challenge to this expected-utility apparatus is the subject of the walkthrough Did behavioral economics change economics?)
This is the closing year. By 1944, the neoclassical toolkit had its components in place: marginal utility, partial equilibrium, general equilibrium, ordinal-preference welfare economics, axiomatized expected utility, game-theoretic strategic interaction. Each had a formal apparatus. The components fit together. Fourteen years after Marshall’s death in 1924, the toolkit his generation had built was finally complete. The toolkit was what twentieth-century economics would mean by “the framework,” and disagreements about economics for the rest of the century would be conducted inside it or in calculated revolt against it.
What position should the chapter take on the consolidation? Three historiographical readings have been competing through the prose. The first is the Whig reading: marginalism as objective progress in rigor, the discipline maturing into a science by acquiring the mathematical apparatus that physics and chemistry had already acquired. Schumpeter’s History of Economic Analysis articulates this position. It is partially right. The rigor was real. The cumulative progress was real. The discipline that emerged in 1944 could prove things the discipline of 1870 could only assert. The Whig reading captures something true. What it misses is the loss column. The institutional richness of the literary tradition, the moral and political stakes that classical political economy carried as part of its working material, the historical embeddedness Schmoller had insisted on: each was foreclosed by the methodology that the rigor required. To celebrate the gain and ignore the loss is to write a history of economics in which only one column has entries.
The second is the contextual reading, articulated most forcefully by Maurice Dobb and Ronald Meek: marginalism as political retreat from the distributive questions the labor theory had raised. The chapter shares ch. 4’s view that the political motive is underweighted in the standard story. The labor theory had a Marx-shaped exit, and the new theory closed it by relocating the source of value. The contextual reading is right that the timing was not coincidence. What it overstates is the political determination of the analytical content. None of the three founders was responding to Marx in any direct sense; the mathematical readiness was a necessary condition; the structural shift to a consumer economy made consumer choice the live problem. The contextual reading captures the timing but not the substance.
The third is the Schumpeterian reading: convergence driven by intellectual readiness, three competent mathematicians arriving at the same answer because the analytical move was sitting on the shelf. This reading is right that the convergence requires explanation in intellectual preconditions, and right that the mathematics was the necessary condition. Where it falls short is in treating the move as analytically inevitable and treating whatever did not survive the move as having properly been left behind. What did not survive was the discipline’s ability to carry institutional content, distributive analysis, and moral-political stakes inside the framework. To call that a properly discarded residue is to assume that the framework that emerged is the only one that could have.
The chapter’s position is that the marginalist consolidation accomplished two things simultaneously, which the historiographical traditions tend to collapse into one. It solved the wrong problem and built the right framework. The wrong problem was the value question in its philosophical form: what is the source of value? The marginalists answered “subjective utility,” and the answer was no more or less correct than the labor theory it displaced; both are now seen, from inside Arrow-Debreu and modern microeconomics, as ways of asking a question that the framework no longer needs to answer. (The dissolution of the philosophical question into mathematics is the verdict of the book's value-lineage walkthrough.) The right framework was mathematical optimization under constraint, equilibrium analysis as the organizing concept of price formation, methodological individualism as the analytical starting point. That framework is what twentieth-century economics has been able to do. It is also what twentieth-century economics has not been able to do without; nothing comparable in analytical reach has been built since.
What was foreclosed in the bargain is the discipline’s ability to carry, inside the framework, the things the literary tradition had carried alongside its analytical apparatus: distribution as a substantive question, institutions as content rather than as constraints, the historical embeddedness Schmoller had insisted on, the moral stakes the scholastics had treated as part of the analytical content of the value question. Each survives in modern economics outside the framework, in the territory the framework cannot reach without distortion. The mainstream tradition has periodically rediscovered each (the new institutional economics, the Piketty inequality program, the post-2008 recovery of macroeconomic history) and absorbed what it can back into the formal apparatus, leaving the rest in a footnote or a heterodox margin. The Cambridge capital controversy of the 1950s and 1960s would be the tradition’s deepest internal critique of the framework’s mathematical adequacy on its own ground, and it is taken up just below. Below is the marginalist cluster as a relational subgraph: the founders, the Marshallian synthesis, Pareto’s welfare reframe, the von Neumann-Morgenstern formal closure, and the contextual nodes (mathematics, the school itself, the two named works).
The neat story says: as borrowing gets cheaper (a lower interest rate), the more capital-intensive technique wins, and the economy uses "more capital." The Cambridge controversy showed that story can fail on the framework’s own ground. Drag the interest rate from high to low and watch which of two techniques is cost-minimizing. Technique A wins at low rates, B in the middle — and then A returns at high rates. That is reswitching: the same technique optimal at two non-adjacent rates. So you cannot order techniques by "capital intensity" independently of the interest rate they are supposed to help determine.
Figure 8.9 (interactive). Present-value cost of two production techniques as the interest rate sweeps. Where the curves cross, the cost-minimizing technique switches. Calibrated so the curves cross twice — the canonical reswitching construction (Samuelson’s 1966 numerical example as the template). Drag the rate; watch technique A return. Synthetic / illustrative.
You would expect cheaper borrowing to always favor the method that front-loads machinery and pays it off slowly. Sometimes it does — and then, lower still, it doesn’t, and the first method comes back. Once the same technique can be best at two separate interest rates, "the quantity of capital" has no rate-free meaning: you cannot say one technique uses "more capital" before you already know the interest rate. The aggregate production function the mainstream kept using assumed exactly the ordering this breaks.
Each technique has a dated input stream; its unit cost is the present value $c(r)=\sum_t a_t (1+r)^{t}$, a polynomial in $(1+r)$. With two techniques whose cost polynomials differ in degree, $c_A(r)=c_B(r)$ can have two roots — two switch points.
Between the switch points one technique is cheaper; outside them the other is — so the cost-minimizing $\arg\min\{c_A(r),c_B(r)\}$ is not monotone in $r$. A unique ordering of techniques by "capital intensity," independent of $r$, therefore does not exist.
The value thread’s last marginalist-era rung: a limit on what "the quantity of capital" can even mean.
Once value became a relation the price system fixes (§8.4), aggregating it ran into a wall. The Cambridge controversy showed you cannot measure "the quantity of capital" independently of the interest rate — reswitching breaks the ordering. Cambridge UK won the technical argument; the mainstream kept the aggregate production function anyway, as a usable approximation. That is the rung where the value thread stops being a question about goods and becomes a question about whether the system’s own aggregates are well-defined.
The toolkit was complete. The challenge — involuntary unemployment, demand-driven output, the possibility that the price-taking competitive economy the neoclassicals modeled might not exist as a description of the macroeconomy — was next; ch. 8 takes it up. The Austrian divergence, where Menger’s subjectivism is pushed against the formalization the rest of the tradition embraced, is the subject of ch. 6. The marginalist consolidation produced the framework inside which both ch. 9 and ch. 10 will conduct their arguments.
Jevons, Theory of Political Economy (1871); Menger, Grundsätze der Volkswirthschaftslehre (1871); Walras, Éléments d’économie politique pure (1874); Edgeworth, Mathematical Psychics (1881); Marshall, Principles of Economics (1890); Fisher, Mathematical Investigations in the Theory of Value and Prices (1892); Pareto, Manual of Political Economy (1906); von Neumann and Morgenstern, Theory of Games and Economic Behavior (1944). Historiographical: Schumpeter, History of Economic Analysis (1954); Dobb, Theories of Value and Distribution since Adam Smith (1973); Meek, Studies in the Labour Theory of Value (1956); Blaug, Economic Theory in Retrospect (1962, rev. 1996); Howey, The Rise of the Marginal Utility School (1960).