Economic Commutativity

A doctrinal companion for the Neo-Brandeisian moment

Introduction

United States antitrust law is in the midst of a reopening that has not been seen since the early 1980s. The consumer welfare standard, which Robert Bork articulated as the operative criterion of antitrust enforcement in The Antitrust Paradox (1978), has come under sustained doctrinal challenge. Lina M. Khan, in Amazon's Antitrust Paradox (126 Yale L.J. 710, 2017), argued that the standard had become unequipped to capture the architecture of market power in the platform economy. Tim Wu, in The Curse of Bigness (Columbia Global Reports, 2018), broadened the critique to the political economy of concentration. Federal antitrust enforcement under Chair Khan at the FTC and Assistant Attorney General Kanter at the DOJ Antitrust Division materially reflected this doctrinal reorientation. Federal courts have begun to ratify aspects of it. The decision of Judge Amit P. Mehta in United States v. Google LLC, holding that Google had unlawfully maintained monopoly power in general search and search text advertising in violation of Section 2 of the Sherman Act, is the most consequential expression of this realignment in a generation.

This article assumes that diagnosis and proposes the instrument that the diagnosis still lacks. The neo-Brandeisian critique describes capture, monopolization, lock-in, and rent extraction with growing precision. It does not, however, supply a measurement of the economic surplus extracted by capture as distinguished from the surplus rewarded by creation. Without such a measurement, the legal categories of unjust enrichment, monopolization, and unconscionability remain reactive, case-bound, and procedurally expensive. This article offers a metric and an institutional architecture suited to common law jurisdictions, which together convert the neo-Brandeisian diagnosis into a workable instrument of restitution.

Economic commutativity is the metrological projection of legal commutative justice. It does not establish the norm — it measures the distance from it. Without that measure, the legal principle remains verbal.

Three insufficiencies in the present doctrinal apparatus motivate this construction. First, the conventional understanding of commutative exchange as arithmetic equivalence between performances is too static to grasp the post-contractual dynamics through which advantage is extracted. Second, contemporary economic analysis has not formalized any instrument capable of distinguishing legitimate enrichment from rent extraction in operational terms. Third, the existing institutional architecture — antitrust agencies, consumer protection bureaus, sectoral regulators — reasons case by case and does not produce sector-wide measurements of cumulative capture.

The article responds to those three insufficiencies. It proposes a dynamic definition of economic commutativity, grounded in the absence of enrichment outside creation ex nihilo. It identifies three structural asymmetries that prevent commutativity from realizing itself spontaneously in modern markets — asymmetry of stake fungibility, asymmetry of differentiated treasury, and asymmetry of infrastructure cost externalization. It derives from these asymmetries a method of measurement — the capture surface, expressed as an integral of the gap between theoretical and observed prices. It closes by sketching an institutional architecture built on common law instruments already in place: federal statistical authorities producing a publicly opposable index, class actions and cy pres distribution as collection and restitution mechanisms, securities and consumer disclosure regimes as the transparency backbone, and the federal courts as ultimate arbiters.

This article is a companion to a parallel doctrinal piece in the French tradition. The theoretical core is identical; the institutional anchors differ. The English-language version published here is intended for readers in common law jurisdictions and for participation in the active United States debate over antitrust reform.

I. Economic Commutativity — Definition and Principle

A. From Static Equivalence to Dynamic Non-Enrichment

The conventional account of commutative exchange treats the principle as an arithmetic equivalence between performances. A gives the merchant one hundred dollars; the merchant gives A goods stated to be worth one hundred dollars; equivalence is presumed by the agreement of the parties. This account has its source in Aristotelian commutative justice in Book V of the Nicomachean Ethics. It survives in the common law as the doctrine of consideration, which requires a bargained-for exchange but, in the United States as in France, has historically refused to scrutinize the adequacy of consideration except in narrow circumstances such as unconscionability under Uniform Commercial Code § 2-302 and the limited classes of fraud, duress, and undue influence.

This static framing has a structural limitation. An equivalence at the moment of contracting says nothing about the enrichment that may unfold thereafter. A and B may leave the table apparently equal at time T, and A may be substantially enriched at T+n because what A received possesses a different yield than what A surrendered. The exchange may have been arithmetically equivalent and yet structurally non-commutative once observed over the period in which its consequences unfold. The static view of commutativity ignores the dimension along which enrichment most reliably travels — time.

This omission is not merely technical. It has supplied the doctrinal cover for the marginalist position according to which every voluntary exchange is, by hypothesis, mutually beneficial. The reasoning runs: if A and B agreed to the exchange, they expected gain from it; gain was their motive; the contract is therefore just. The argument confounds consent with equivalence, and it rests entirely on the omission of post-contractual time. Once time is restored to the analysis, the question of whether the structure of the exchange produces systematic enrichment of one party reopens.

The position taken in this article is that economic commutativity is not the arithmetic equality of performances at the moment of exchange. It is the absence of dynamic enrichment of either party as a structural consequence of the exchange. What is measured is not a stock at time T but a flow between T and T+n. The relevant criterion is not A = B but ΔA = ΔB across the period during which the exchange's consequences are observable.

Commutativity does not require that the parties exchange values that are equal at the moment of trade. It requires that the structure of the exchange produce no asymmetric enrichment over the time that follows.

This displacement of the definition has substantial consequences. The reformulated criterion is sensitive to structural asymmetries that the static view cannot detect — asymmetries of fungibility, of treasury, of infrastructure externalization. It is in this displacement that economic commutativity acquires its diagnostic force.

B. Creation Ex Nihilo Is the Principle, Not the Exception

If economic commutativity requires the absence of asymmetric enrichment, how does the doctrine treat the innovator who creates new value and is rewarded by the market? The standard objection is that innovation enriches its author, that innovation is necessary to the economy, and that any doctrine that prohibits enrichment therefore prohibits innovation. The objection appears decisive.

It is not, because it rests on a misleading term: the word "rent." The familiar phrase "innovation rent" suggests a position held in time, a state of affairs to be defended, an asset that generates revenue across years. This suggestion is structurally false to the act of innovating. Innovation, by its nature, is a discrete act. An innovative product — call it A — comes into being at time T0. From T0 forward, only two trajectories are coherent.

In the first trajectory, the innovator innovates again. Product A becomes A1, which becomes A2, and so on. At each step, what remunerates the innovator is not the position established at T0 but the active creation at T1, T2. There is never a rent; there is only a sequence of creative acts, each remunerated for what it contributes at the moment it contributes it.

In the second trajectory, the innovator ceases to innovate. Product A remains stationary while competitors innovate around it. In a market that functions as a true swarm — the kind of creative competition that Joseph A. Schumpeter described as creative destruction and that Hayek described as competition as a discovery procedure — A is overtaken within a few innovation cycles, its market share erodes, and at the limit A disappears and is replaced by another operator. No position is preserved.

In a market that functions as a true swarm, position does not exist. There are only creative acts that succeed each other or stop. Stopping produces effacement; continuation produces remuneration. The remuneration is never that of a position; it is always that of the present act.

This analysis reverses the objection. Creation ex nihilo is not an exception to the principle of non-enrichment. It is the principle's mode of functioning in time. Without it, the economy would freeze in the pure identity A = A. With it, the economy evolves through successive creative destructions, each remunerated as it occurs, none of them becoming a rentier asset.

This reframing modifies Schumpeter. Schumpeter granted the innovator a temporary monopoly whose duration corresponded to the time competitors required to catch up with the rupture. That accommodation made sense in an economy where imitation took years. It no longer makes sense in an economy where technical diffusion is nearly instantaneous and where actual markets are, as the remainder of this article shows, structurally protected from the very competition that was supposed to erode the monopoly. The Schumpeterian temporal monopoly has become, in contemporary practice, the synonym of the very lock-in that the swarm was meant to dissolve.

The principle can therefore be stated without exception. Economic commutativity requires that all enrichment proceed from a creation ex nihilo that is objectively verifiable and subject to permanent renewal. Only three situations are compatible with the principle: pure exchange (ΔA = ΔB ≈ 0); active creation (enrichment is the counterpart of present creation, not of past creation); and assumed exit (the operator who no longer innovates withdraws). Any other situation — the position acquired and prolonged without active creation — is capture.

This articulation produces an operational test of innovation that is sharper than the conventional one. Creation ex nihilo is not declared by the producer; it is validated by the free adoption of the user in conditions of open market and effective transparency. This double condition is determinative. First, the user must be able to compare, refuse, and choose — that is, to operate in a market that functions as a real swarm with accessible alternatives. Second, the user must know what is being adopted — that is, the user must enjoy effective transparency of the terms of exchange. Outside these conditions, the test of free adoption is corrupted.

Innovation is not declared, it is validated. The producer's assertion of utility does not qualify innovation; only the free adoption of the informed user in an open market does.

The practical reach of this test is immediate. In an oligopolistic market or in an ecosystem characterized by lock-in (proprietary connectors, forced compatibility, imposed standards), the user has no real alternative; adoption of a product does not testify to recognition of utility but to constraint. The qualification of innovation becomes inadmissible, and the revenue it purports to justify is structurally capture, regardless of the apparent technical qualities of the product. Apple's handling of the proprietary connector and the closed App Store environment illustrates this displacement: the removal of widely standard functionalities becomes "innovation" only in a market where refusal is no longer possible. In a true swarm, user migration to a competitor would have sanctioned the move. It is precisely because that migration has been made structurally impossible that capture installs itself under the name of innovation.

This articulation also forecloses the objection that the doctrine restricts innovation to chemical or technical breakthroughs. The criterion is not the nature of the modification but the user's capacity to test and confirm its utility in conditions of open market. Process innovation, logistical optimization, organizational improvement, functional packaging — each may constitute a legitimate creation ex nihilo provided it passes the test of free adoption. Conversely, a technical breakthrough imposed by ecosystem capture fails the test and loses the qualification.

C. Canonical Definition

Economic commutativity is the property of an exchange whereby no party enriches itself outside of an objectively verifiable creation ex nihilo subject to permanent renewal.

Four elements deserve emphasis. The property of an exchange — commutativity is measured within the exchange, not in the prior or subsequent positions of the parties considered apart. No party enriches itself — the criterion is dynamic and focuses on the change in patrimony consequent on the exchange, not on the patrimonies entering the exchange. Outside an objectively verifiable creation ex nihilo — the only legitimate cause of enrichment is the production of something that did not previously exist. Subject to permanent renewal — past creation founds no future rent; each period must be justified by active creation.

Three categories of economic act follow. Pure exchange, in which ΔA = ΔB ≈ 0, is commutative by construction. Creation ex nihilo, in which one of the operators contributes something new to the world and receives in exchange an advantage proportionate to the present creation, is commutative because the differential corresponds to real contribution. Capture, in which an operator enriches itself absent present creation, by virtue of position, asymmetry, or lock-in, is not commutative and constitutes the economic pathology this article seeks to measure.

This tripartition reproduces, in economic register, the tripartition of juridical facts as developed in a companion article. The restitutive fact reorganizes what existed; the reparative fact compensates for harm; the creator-of-value fact contributes new value to the patrimonial commons. Economic commutativity tracks this structure: pure exchange is the economic projection of the restitutive fact; economic creation ex nihilo projects the creator-of-value fact; and capture, which has no legitimate juridical analog, corresponds to unjust enrichment in its civil form.

II. The Three Asymmetries That Prevent Commutativity

Posed as principle, economic commutativity meets in actual markets three structural asymmetries that prevent its realization. These asymmetries are not contingent. They reflect neither the bad faith of particular operators nor the failures of episodic regulation nor temporary imbalances. They are inscribed in the legal coding of economic positions, persist independently of the actors' intentions, and so long as they persist, no commercial exchange between a firm and an ordinary consumer can be genuinely commutative.

A. The Asymmetry of Stake Fungibility

When a consumer enters a store to purchase goods priced at one hundred dollars, the standard analysis frames the exchange as follows: the merchant places the goods worth one hundred dollars on the balance; the consumer places one hundred dollars on the balance; equivalence obtains. This presentation conceals an asymmetry of kind.

The merchant brings to the exchange an identified, individualized good that is not substitutable at the moment of exchange. If this consumer declines to buy this good, the merchant must find another buyer for this same good. The consumer, by contrast, brings to the exchange a perfectly fungible sum. The consumer's one hundred dollars are indistinguishable from one hundred dollars of any other buyer. If the merchant does not sell to this consumer, the next buyer brings the same one hundred dollars. The merchant is therefore in structural monopoly on the particular good at the moment of exchange; the consumer is in structural competition with every other holder of one hundred dollars.

The merchant places a unique good on the balance; the consumer places a fungible currency. This asymmetry of fungibility makes the merchant a momentary monopolist and the consumer a perpetual competitor.

The asymmetry intensifies with the uniqueness of the good. For a work of art it is maximal. For a banal industrial product it is theoretically attenuated because other merchants offer the same good elsewhere; but this attenuation depends on the existence of effective competition, which is precisely what the remainder of this article shows to be lacking in significant sectors. As long as the market does not function as a true swarm, fungibility of stake remains the merchant's structural advantage.

The asymmetry of fungibility compounds with an asymmetry of place. The exchange takes place on the merchant's territory — the store, the platform, the terms of service, the chosen jurisdiction. The consumer enters; the merchant legislates locally. Price posted, conditions of sale, methods of payment, applicable law. This is what Katharina Pistor has described, in The Code of Capital (Princeton, 2019), as the legal coding of advantage in advance of the counter-party. The merchant has coded the advantage before the consumer arrives; it remains for the consumer only to sign.

B. The Asymmetry of Differentiated Treasury — Six Tiers of the Dollar

The second asymmetry concerns the unit of measure itself. Standard economic analysis assumes that the dollar is a stable yardstick whose value is the same in whoever's hand it sits. This assumption is incorrect as a matter of U.S. positive law. The same nominal amount — say one thousand dollars — generates significantly different real yields depending on the legal-economic status of the holder.

For a structured corporation, one thousand dollars can be deposited in a money market fund, a corporate treasury repo, or a commercial paper holding, at net yields typically in the three to five percent range under current rates. But the real yield is higher than that, because the corporation can also employ the one thousand dollars as means of production: with a standard operating cycle turning four times per year and a net margin of ten percent, the contribution generates an effective annual yield close to forty percent. Tax deductibility of business expenses reduces the federal and state corporate income tax burden on the relevant earnings, and the corporation can deploy depreciation, amortization, and accumulated loss carryforwards to shield further income.

For an ordinary wage earner, the same one thousand dollars produces a fundamentally different result. On a non-interest-bearing checking account, the yield is zero or negligible. On a high-yield savings account or certificate of deposit, the yield is significantly lower than the equivalent corporate treasury instruments and is fully taxable at ordinary income rates. Sophisticated money market or short-duration fixed income products are accessible in principle but in practice constrained by minimum balance requirements, accreditation thresholds, and the regulatory treatment of retail investors. And every dollar spent by the wage earner is spent in after-tax currency, with no recovery of state or local sales tax.

For a recipient of public assistance — Supplemental Nutrition Assistance Program, Temporary Assistance for Needy Families, Supplemental Security Income — the same one thousand dollars is almost entirely absorbed by constrained expenses (rent, energy, food, healthcare cost-sharing) whose inflation regularly outpaces the indexing of benefits. The real yield in purchasing power is negative.

The fuller typology that emerges is the following.

Corporate-structured dollar — composite yield of six to ten percent net through operating cycle, treasury placement, and banking leverage. Deductible expenses, depreciation, capital gains preferential rates, accumulated loss carryforwards, access to professional capital markets. Strong temporal multiplication.

Patrimonial-capital dollar — inheritance, dividends, qualified capital gains. Preferential tax treatment (long-term capital gains rates and qualified dividend treatment under the Internal Revenue Code substantially below ordinary income rates). Estate planning vehicles permit transmission optimization through trusts, gift exclusions, and stepped-up basis. No labor counterpart.

Network or relational dollar — access to credit at conditions outside standard market terms (interest rates approaching the federal funds rate plus minimal spread, covenants-light terms, interest-only structures). This is not an economic category but a sociological one that has entered banking law through the door of discretionary risk assessment. The Marquette National Bank v. First of Omaha decision (439 U.S. 299, 1978), authorizing interstate exportation of usury rate caps, materially expanded the gap between credit available to networked borrowers and credit available to ordinary consumers.

Wage-earner dollar — zero or near-zero on checking, modest on savings vehicles, full federal and state income tax exposure, no sales tax recovery, opportunity cost of time consumed in earning the income. Temporal multiplication is essentially nil.

Precarious-income dollar — redistributed via SNAP, TANF, SSI, EITC. Captured at or near one hundred percent by constrained expenses. Temporal multiplication is negative in purchasing-power terms.

Informal-economy dollar — undeclared receipts, off-the-books labor, gray-market transactions. No taxation, no protection. Yield highly variable depending on position in the chain.

The same nominal dollar is not the same real dollar. Its effective value depends on the legal-economic status of the holder. Currency is not a neutral measure — it is a legal status applied to a quantity.

A simple simulation makes the cumulative gap visible. A wage earner and a structured corporation each hold one thousand dollars at time T0. After ten years, the wage earner — placing the funds in a high-yield savings account at three percent net — holds approximately 1,344 dollars. The corporation, operating at an eight percent net composite yield through cycle and treasury, holds approximately 2,159 dollars. After twenty years, the gap widens to roughly 1,806 dollars against 4,661 dollars — a ratio of 2.6. The gap does not arise from competence or merit. It arises from legally differentiated coding of currency by status of holder.

This analysis extends and modernizes the chartalist thesis associated with Georg Friedrich Knapp, A. Mitchell Innes, and, in contemporary scholarship, Christine Desan (Making Money: Coin, Currency, and the Coming of Capitalism, Oxford University Press, 2014), according to which currency is a creature of law. It pushes the position further: currency is not only created by law, it is differentiated by law according to the holder's status. This is a monetary homonymy — the same word, different referents — that conventional economic analysis does not register.

The redistributive transfers operated by the U.S. tax and benefits system do not correct this asymmetry. They equalize nominal flows and leave the structure of yields untouched. A dollar redistributed to a precarious household remains a dollar with negative real yield; a dollar taxed from a structured corporation remains a dollar with positive yield foregone. The structural gap persists while the apparent flows balance. Redistribution is cosmetic so long as the hierarchy of dollars is not itself addressed.

C. The Asymmetry of Infrastructure Cost Externalization

The third asymmetry is more recent. It emerged from the dematerialization of services and was generalized by the model the large digital platforms refined in the late 1990s and 2000s. It consists in transferring to the consumer the cost of acquiring and maintaining the infrastructure necessary to consume.

The retail bank branch of the 1990s provided to its customer, free of charge, the building, the computers, the tellers, the lighting, and the heating. The customer arrived with body and papers, signed, and departed. Cost to customer: travel and time. Cost to bank: everything else. In 2026, to use a U.S. retail bank, the customer must own a smartphone amortized over three to four years (equivalent monthly cost of twelve to forty dollars depending on tier), a wireless data plan, residential internet service, the electricity to run the equipment, and the time necessary to manage updates, multi-factor authentication, and interface migration. The bank closed branches, eliminated tellers, dematerialized operations — and transferred to the customer the burden of acquiring and maintaining the terminal that connects the customer to the service.

The customer now pays both for the service and for the equipment and for the network infrastructure and for the customer's own data-entry labor, formerly performed by the teller. The bank reduced its operating cost dramatically without reducing its fees or improving its service. The model echoed and applied by the major platforms — YouTube, which monetizes content largely produced by unremunerated or marginally remunerated contributors; Airbnb, which monetizes housing inventory held by hosts; Uber, which monetizes vehicles held by drivers; TripAdvisor, which monetizes reviews donated by users — produces the same asymmetry: the platform captures the margin, the costs are externalized to those who believe they are consuming while in fact they are producing.

The operation has a name in the literature: prosumerism, after Alvin Toffler's The Third Wave (1980). But in its contemporary form, it is extractive — the user is required to produce-consume without compensation. It is the modern equivalent of feudal corvée, in white-collar form and through graphical interface.

This externalization produces capture that is invisible to classical price indices. The Bureau of Labor Statistics' Consumer Price Index measures the price of the banking service or the wireless plan. It does not measure the consumer's Total Cost of Ownership, which includes the terminal, the connection, the data-entry time, and the continuing learning required by interface migration. A wireless plan at twenty-five dollars per month implicitly requires possession of a smartphone whose acquisition cost is several hundred dollars. The standard BLS index does not capture this hidden cost.

The doctrine proposed here calls for a complement to existing indices in the form of a sectoral Total Cost of Ownership index that would capture the full infrastructure cost imposed on the consumer to access services. The methodology is straightforward: for each sector, measure the material and temporal cost required of the consumer for effective consumption of the service, and add it to the nominal price billed. The result would give the true price of the service, net of externalization.

The externalization pattern now extends across sectors. Insurance dematerializes the filing of claims; the insured uploads photographs by smartphone, tracks the file online, and the adjuster who once took notes by phone has disappeared. Healthcare deploys patient portals and telemedicine; the patient becomes the patient's own archivist. Federal and state agencies impose dematerialized procedures for tax filing, social security, and many license renewals; the government requires each citizen to acquire and maintain the terminal that connects the citizen to the government. Retail generalizes self-checkout and curbside pickup; the consumer scans, packages, and transports. Logistics shifts to the consumer the tracking of packages, the scheduling of delivery windows, and the management of returns.

In each case, the cost is externalized, the value is captured, and the consumer is neither credited for what is provided nor compensated for what is assumed. This asymmetry of externalization, added to the asymmetries of fungibility and treasury, constitutes the three-fold structural condition that prevents economic commutativity from realizing itself absent an architectural reform.

III. Measuring Capture

Defined as the absence of enrichment outside creation ex nihilo, economic commutativity is measured by its absence. The quantity of interest is not commutativity directly — which is not measured — but capture, the gap between what an exchange actually delivers to the dominant operator and what it would deliver if competition were effective. This section sets out the formula, the method, and four sectoral illustrations.

A. The Price Formula Under Swarm Regime

Let a product be launched at time T0 by an innovator, with durable production cost C and initial margin M₀, hence initial price P₀ = C + M₀. Creative competition — the swarm, in the sense of the theory developed in a companion article — erodes the margin as competitors enter and innovate in turn. The speed of erosion depends on the sector's innovation velocity, denoted v. The descriptive formula is:

P(t) = C + M₀ · e^(−v·t)

bounded below by C — the durable production cost — beneath which the operator would cease to produce. The term C in this model designates the durable cost of production, including reasonable amortization of initial research and development and fixed costs, rather than the literal marginal cost in its strict microeconomic sense. The literal marginal cost is the absolute lower bound; C_durable is the effective lower bound at which a viable swarm market converges. The empirical demonstration that markets can in fact converge to this durable cost level is found in the generic pharmaceuticals case after patent expiration, where price stabilizes at ten to fifteen percent of the branded price — several times the literal marginal cost, but the durable cost of the generic manufacturers who remain profitable. The formula admits two regimes.

In the theoretical swarm regime, v is high. Initial margin is rapidly eroded. Taking v = 0.30 per year (thirty percent annual erosion), a product launched at one hundred monetary units with durable cost at fifty reaches the durable cost in approximately four years. Innovation remuneration is therefore bounded — four years of declining margin. Beyond that, the innovator must have innovated again to preserve margin; failing which, the innovator withdraws.

In the real capture regime, v is low — typically of the order of 0.02 per year. Margin erodes slowly. A product launched at one hundred remains at ninety after five years, eighty-two after ten, sixty-seven after twenty. The rent persists without active creation to justify it. The operator has installed itself in position and remains.

B. The Capture Surface as Integral

The difference between the two regimes is geometrically measurable. Let P_theo(t) be the trajectory under swarm regime and P_real(t) be the trajectory actually observed in the market. The capture surface per unit produced, over the observation period, is given by:

S = ∫₀^T [P_real(t) − P_theo(t)] · dt

and total sectoral capture is obtained by multiplying this surface by sectoral volumes Q(t) over the period. The integral has a recognizable geometry — a triangle truncated by the plateau at durable cost. Its shape conveys two pieces of information: the date at which, under swarm regime, the price would have reached durable cost (the apex of the theoretical triangle), and the magnitude of persistent rent (the residual height of the real trajectory above durable cost).

The wider the surface, the more locked the market. The narrower the surface, the closer the market is to swarm regime. The method is therefore qualitatively discriminating across sectors — strongly captured markets, attenuated capture, and markets approaching the theoretical swarm.

C. Sectoral Illustration 1 — Insulin Pricing

Insulin pricing in the United States constitutes a paradigmatic case of sustained capture in a market whose underlying product has not materially changed for decades. The active pharmaceutical ingredient — recombinant human insulin — has been off-patent since the late 1990s for most relevant formulations. The market for insulin in the United States is dominated by three manufacturers — Eli Lilly, Novo Nordisk, and Sanofi — collectively holding the vast majority of market share. Pricing trajectories over the period 2000 to 2020 are extensively documented in congressional hearings, scholarly literature in the Journal of the American Medical Association and elsewhere, and state and federal investigations. The list price of a vial of analog insulin in the United States rose by a multiple in the order of seven to ten times over that period, while the same products in comparable jurisdictions (Canada, Germany, the United Kingdom) remained at a fraction of U.S. levels.

Several observations are relevant to the present framework. The marginal cost of producing insulin is widely estimated to be in the order of a few dollars per vial, while the U.S. list price reached several hundred dollars per vial. The rate of meaningful chemical or biological innovation in this product class over the period in question has been low — recombinant human insulin and its analogs have been the principal therapeutic platforms throughout. The persistence of high prices in the U.S. market while equivalent products are available abroad at fractional cost reflects the structural verrouillage of the U.S. distribution architecture (insurance, pharmacy benefit managers, rebate structures) rather than the cost of producing the medicine.

Under the present framework, the capture surface for insulin in the United States across the relevant period is large. The Inflation Reduction Act of 2022 capped insulin out-of-pocket costs for Medicare beneficiaries at thirty-five dollars per month for covered insulin products. The administrative imposition of this cap — at a level still significantly above marginal cost, but a small fraction of prior list prices — is itself empirical evidence that the prior pricing structure was not constrained by production economics. The cap is a politically negotiated point on the capture surface, not its elimination.

D. Sectoral Illustration 2 — App Store Commission

The commission charged by Apple on transactions on the iOS App Store has stood for years at thirty percent for most categories of paid applications and in-app purchases. The marginal cost to Apple of an additional in-app transaction is essentially the marginal cost of computing and bandwidth, plus the marginal cost of payment processing, plus the marginal cost of customer support attributable to that transaction. Even with generous treatment of fixed costs and platform investments, the marginal cost is small in proportion to the thirty percent commission. The persistence of this commission level across categories, products, and counter-parties, in the face of significant litigation including Epic Games' antitrust challenge in U.S. federal court, reflects the structural lock-in of the iOS ecosystem — proprietary connector standards, prohibition of side-loading, anti-steering provisions in developer agreements — rather than any cost-based justification for the rate.

Under the present framework, the App Store thirty percent represents an enduring capture rate in a sector — digital distribution of applications — where the durable cost is a small fraction of the rate. The fact that competing platforms (Google Play) historically charged similar commissions and that broad alternatives have been precluded by lock-in confirms the diagnostic: this is rent of position, not remuneration of present creation. Recent litigation (the Epic Games matter in the Ninth Circuit) and regulatory pressure including the European Union's Digital Markets Act have produced incremental movement on anti-steering provisions, but the core commission structure has not been displaced by competition because the conditions of effective competition have been structurally suppressed.

E. The Empirical Swarm — Generic Drugs After Patent Expiration

Does there exist, in actual markets, a sector that functions effectively under swarm regime? The honest answer is: rarely, but the case exists. The clearest U.S. example is the market for generic pharmaceuticals after patent expiration.

Under the framework established by the Drug Price Competition and Patent Term Restoration Act of 1984 (commonly known as the Hatch-Waxman Act), generic manufacturers can secure expedited FDA approval following the expiration of the branded patent through the Abbreviated New Drug Application pathway. Upon entry, multiple generic manufacturers typically compete on price. The empirical pattern is consistent: within two to three years of patent expiration, prices commonly fall to fifteen to twenty-five percent of the branded price; within five years, they stabilize at ten to fifteen percent. The marginal cost of producing the active pharmaceutical ingredient typically represents a small fraction — often single digits — of the original branded price. The market thus approaches the durable cost level within a few years of barrier removal.

This trajectory closely tracks the theoretical swarm curve. The reason is paradoxically legal: patent expiration is a legislative decision that removes the entry barrier. Once the barrier is lifted, creative competition functions. The generic pharmaceuticals market demonstrates two things simultaneously. First, the swarm is not a theoretical fiction; it exists in segments where conditions allow it. Second, the lock-in of other markets is not a natural fact; it is a regulatory choice that maintains entry barriers through administrative authorizations, capital minimums, certifications, exclusivity arrangements, and network effects.

The pure swarm rarely obtains in its entirety, but it functions as an ideal type in the Weberian sense: an analytic reference against which real cases are measured. The generic pharmaceuticals case demonstrates that the ideal type is realizable when the law withdraws the barriers it has itself erected.

IV. Institutional Architecture in the Common Law Tradition

Measuring capture presupposes institutions capable of producing the measurement, making it opposable, converting it into restitution, and arbitrating contestation. None of the existing U.S. institutions individually exercises this full set of functions. The proposal that follows assembles common law instruments already in place and identifies the statutory addition required to bind them into a coherent architecture.

This architecture relies deliberately on institutional analogies that are familiar in U.S. practice — the federal statistical agencies for the production of opposable indices, the class action mechanism under Federal Rule of Civil Procedure 23 for collection and restitution, securities and consumer disclosure regimes for transparency. This is a methodological choice: a proposal that builds on familiar structures invites debate; a proposal that invents wholly novel ones risks being filed away as utopian. The choice does not preclude a more radical institutional reformulation, which may be the subject of a later article.

A. The Capture Surface Index — A Statutory Proposal

The Bureau of Labor Statistics already produces indices with substantial legal effect: the Consumer Price Index serves as the statutory basis for cost-of-living adjustments in Social Security benefits under 42 U.S.C. § 415(i), for the indexation of federal tax brackets under the Internal Revenue Code, for the calculation of alimony adjustments in many state statutes, and for the indexation of significant categories of long-term contracts. The Producer Price Index and the Employment Cost Index discharge analogous functions in their respective domains. The Bureau of Economic Analysis and the Census Bureau supply complementary sectoral data.

A Capture Surface Index — published sector by sector, annually, by the BLS on the methodology set out in Title III — would extend an existing model. The methodology, made public and subject to revision through a designated technical committee, would define the v_theo reference parameter for each major sector, measure the gap between observed price and swarm-regime trajectory, and report the cumulative capture in monetary units. The opposability of the index would be established by enabling federal statute — most naturally as an amendment to existing antitrust or consumer protection legislation — making the index admissible as prima facie evidence of capture in proceedings under Sections 1 and 2 of the Sherman Act, Section 5 of the FTC Act, and state Unfair and Deceptive Acts and Practices (UDAP) statutes.

The statutory addition does not require creation of a new agency. It requires that an existing statistical authority be empowered to produce the index, that the methodology be published and contestable through a notice-and-comment process modeled on the Administrative Procedure Act, and that the resulting index be admissible in federal and state courts under the same evidentiary standards that govern other BLS indices.

B. Class Actions as Collection and Restitution Mechanism

Measurement is not enough. Once capture is established, a mechanism must collect the excess and restore it to the parties on whom the capture was effected. The U.S. legal tradition has produced an instrument largely unparalleled in other jurisdictions: the damages class action under Federal Rule of Civil Procedure 23(b)(3), augmented by the cy pres doctrine for residual distribution, the multi-district litigation framework under 28 U.S.C. § 1407 for the consolidation of related actions, and the private-attorney-general mechanisms found in some state laws (most notably California's Private Attorneys General Act).

The class action mechanism is well-suited to the diffuse capture identified by the present framework. Capture distributed across millions of consumers, each individually injured in amounts too small to support individual litigation, is the canonical fact pattern for which Rule 23(b)(3) was designed. The Class Action Fairness Act of 2005 has placed substantial procedural constraints on the mechanism, but the underlying structure remains operative. State Attorneys General actions under state UDAP statutes and parens patriae authority provide a parallel collection channel that is, in many states, more procedurally tractable than federal class certification.

The capture surface index proposed above would supply the class with the common factual predicate that Rule 23(b)(3) requires — predominance of common questions over individual ones. Where the BLS index has established a sectoral capture rate, that rate provides a measurable and uniformly applicable damages base across the class, defeating the principal contemporary objection to certification: that individual damages questions overwhelm common ones. Once the class is certified and capture is established, settlements distributed through court-supervised mechanisms (with cy pres residuals directed to consumer education or consumer-protection legal services as the federal courts of appeals have approved in numerous matters) accomplish the restitution function that, in the French companion proposal, would be performed by a SACEM consommateur. The instrument differs; the function is the same.

C. The Transparency Authority — Disclosure as Constitutive Condition

Measurement and class action are not credible without transparency. The dominant operator cannot be the sole keeper of the evidence on which the operator's own conformity depends — a principle that the common law expresses as the rule against a party generating evidence of its own performance, and that civil law expresses in the maxim that no one may make a title to himself. Effective measurement of capture requires that the conditions of capture be visible.

The U.S. legal system possesses several existing transparency regimes that, taken together, supply much of the necessary infrastructure. Securities and Exchange Commission disclosure under the Securities Exchange Act of 1934 and the Sarbanes-Oxley Act of 2002 imposes accounting and operational disclosure on public corporations. The Federal Trade Commission's rulemaking authority under Section 5 of the FTC Act has produced significant action against dark patterns and unfair, deceptive, or abusive acts and practices (UDAAP). The Consumer Financial Protection Bureau, established by the Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010, exercises supervisory authority over the disclosure practices of financial services providers.

What is missing is an articulation of these existing regimes around the metric of capture. The companion article on transparency as a constitutive condition of competition proposes the mechanism of an auto-delimitation declaration annexed to intellectual property filings, under which the holder of a patent, trademark, or licensed right delineates what is protected (the invention or sign — non-cessible) and what is auditable (the operational practices of classification, pricing, referencing, and treatment of third parties). The U.S. analog would integrate this mechanism into existing disclosure regimes — SEC disclosure for publicly traded companies, FTC rules for consumer-facing practices, USPTO filings for intellectual property — with the auto-delimitation declaration providing the operational baseline against which capture is measured.

An ancillary technical authority — analogous to the Audit Authority proposed in the French companion piece, but constructed on the model of the Public Company Accounting Oversight Board (established by Sarbanes-Oxley) or the FTC Bureau of Economics — would certify the correspondence between auto-delimitation declarations and observed practice. Its certification would constitute a rebuttable presumption of conformity, never an irrefragable safe harbor. The consumer, the competitor, and the court remain irreducible additional layers of control.

D. The Federal Courts and the Unified Economic Agent

The architecture closes with the federal and state courts, which arbitrate the disputes that the prior institutions have not resolved. The competence is not created; it exists by virtue of the existing statutory blocks invoked in support of the present doctrine. It is, however, reorganized around instruments that finally render operable norms long established.

The architecture, taken as a whole, points to a doctrinal proposition that the existing protective regime for consumers tends to obscure: the consumer as a legal category, distinct from the business actor and protected by tutelary regulation, is itself the source of much of the asymmetry the doctrine seeks to correct. As long as the consumer is institutionally enclosed in a protected status, the consumer is denied access to the financial, fiscal, and procedural instruments available to corporations. Protection becomes the lock that maintains the inferiority it claims to remedy.

The doctrinal proposal contemplated by a companion article on the unified economic agent is the gradual displacement of protection from persons to situations. A unified economic actor receives, in any given transaction, the regime appropriate to the situation occupied at that moment — protection against information asymmetry and against vices of consent when purchasing as a consumer; access to the same financial instruments as a corporation when holding liquid funds; collective bargaining capacity equivalent to industry associations when organized through aggregating mechanisms. The category of consumer dissolves into a single economic actor whose rights vary by transactional situation.

This reform is, properly understood, more in the lineage of Adam Smith than of the contemporary consumerist tradition — Smith arguing for the merchant against the court aristocracy, that is, for the dignity of full economic agency, with corresponding responsibility, rather than for protected dependence. The risk that some consumers will not seize the instruments thus made available to them is real but is of the same nature as the risk attending any extension of agency. It is addressed not by enclosure but by the parallel construction of aggregating mechanisms — class actions, consumer associations with binding legal authority — that supply the collective competence the individual may lack.

Implications and Reach

The doctrine of economic commutativity, articulated with the measurement of capture and with the institutional architecture proposed, generates several consequences that exceed the strict frame of consumer protection. Three are worth stating explicitly.

A Conceptual Difficulty for the Sales Tax

U.S. state and local sales taxes, like the European value-added tax, presuppose by their structure that value is added in the transactions to which they apply. The measurement of capture reveals that, in sectors with high capture, the substantial part of the margin charged does not correspond to any active creation but to the extractive yield of an acquired position. Sales tax collected on this rentier portion does not, strictly speaking, tax added value. It is a levy on capture, which raises a conceptual question: does the state collect a tax on a quantity that, in economic terms, does not exist as added value to the collective stock?

This difficulty does not exhaust the legitimacy of sales taxation, which can be justified on other grounds (revenue, simplicity, neutrality across the production chain). It suggests, however, that a fiscal reform coherent with the present doctrine would distinguish more sharply the portion of margins that remunerates active creation — taxable at a preferential rate as fiscal recognition of innovation — from the portion that remunerates position — taxable at a penalizing rate, in the manner of the existing taxation of certain rent-bearing assets. The proposal exceeds the scope of this article and would require separate doctrinal treatment.

The Externalization Contagion Across U.S. Sectors

The externalization asymmetry described in Title II.C is expanding sectorally at an accelerated pace within the United States, which is the original site of the model. Banks have copied the GAFAM model; insurers have copied the banks; federal and state administrations have copied private operators; healthcare providers have copied the administration. The pattern has become generic. Absent rapid architectural reform, it will reach virtually all sectors in which the service is dematerializable — that is, the substantial majority of sectors outside physical manufacture.

The proposed Total Cost of Ownership consumer index, formulated above as a complement to existing BLS indices, becomes here a defensive instrument. By rendering visible the consumer's full cost of use — terminal, connection, electricity, data-entry time, required ongoing learning — the index would integrate into the official price what externalization has rendered invisible. Combined with the Capture Surface Index, it would supply a complete measurement of the two extractive mechanisms now pressing on the contemporary U.S. consumer: classical capture through artificially maintained margins, and modern capture through transferred infrastructure cost.

The Return to Legitimate Competition

Reducing capture through measurement, collection, and restitution is not an attack on competition. It is, on the contrary, a restoration of competition to its proper object. Legitimate competition is not the contest between firms for market dominance or for capacity to capture; it is the differentiation of products and services by intrinsic quality, real price, and utility to the consumer. Competition organized around any other criterion — algorithmic opacity, position asymmetry, infrastructure externalization, rent extraction from captive capital — corrupts the market and breaks the swarm.

The neo-Brandeisian critique advanced by Khan, Wu, and others has identified the corruption with growing precision. The doctrine proposed here supplies the metric that the critique still lacks. Together, diagnosis and metric convert what has been a contest of doctrinal frameworks into an operable instrument of restitution. The contemporary moment in U.S. antitrust law — the decision in U.S. v. Google, the active investigations into platform conduct, the ongoing reassessment of the consumer welfare standard — is a moment in which the addition of this metric to the available toolkit may have outsized leverage.

This refoundation does not depart from existing U.S. positive law. It builds on long-standing statutes and doctrines: the Sherman Antitrust Act of 1890, the Clayton Antitrust Act of 1914, the Federal Trade Commission Act of 1914, the Robinson-Patman Act of 1936, the Uniform Commercial Code's unconscionability and good faith provisions, the Restatement (Third) of Restitution and Unjust Enrichment (American Law Institute, 2011), the unjust enrichment cause of action recognized in every U.S. jurisdiction, the disgorgement remedy in equity, and the class action mechanism under Federal Rule of Civil Procedure 23. The architecture assembles these existing instruments around a measurement instrument they have lacked.

Conclusion

Economic commutativity is not an autonomous discipline. It is the measurable projection of the principle of just exchange that legal traditions in both civil and common law systems have long recognized in principle but rarely been able to measure in practice. Without measurement, the legal principle remains verbal. With measurement, it acquires an instrumentation, a metrology, an institutional architecture, and therefore the possibility of effectiveness.

The doctrine articulated in this article holds together in six propositions. First, economic commutativity is defined as the absence of enrichment outside creation ex nihilo, not as arithmetic equivalence at the moment of exchange. Second, creation ex nihilo is not an exception to the principle of non-enrichment but its mode of functioning in time — there is no legitimate rent of position, only a sequence of present creative acts or assumed exit. Third, three structural asymmetries — fungibility of stake, differentiated treasury, externalization of infrastructure cost — prevent the principle from realizing itself in actual markets. Fourth, capture is measured as the integral of the gap between theoretical swarm price and observed real price, bounded by the durable cost of production. Fifth, an institutional architecture composed of a BLS-produced Capture Surface Index, the class action mechanism for collection and restitution, the disclosure regimes for transparency, and the federal and state courts for arbitration renders the doctrine operative within common law instruments already in place. Sixth, the effective functioning of this architecture implies the gradual displacement of the consumer category as a protected status by a unified economic actor whose rights vary by transactional situation.

This framework concerns the commercial sphere. It does not, in the present form, govern non-market relations — public services, gift economies, intra-family transfers, redistributive public action. Those domains operate under different logics whose treatment would belong to a companion article. They are not covered here, and the limitation is assumed as an opening to a related subject rather than as a weakness of the construction. The consumer, in the role of commercial economic actor, is wholly within the present scope.

Economic commutativity measures what legal commutativity norms. It does not substitute for the law — it gives the law, after two centuries, the instrument it lacked.

This article is not written to persuade. It is written to be recorded — as one files at a court clerk's office, not to win, but so that the trace exists. So that the history may note: yes, this was said. And it was formalized.