Repair-regular game-change theorem (bounded existence result)

Pigou, Coase, and Ostrom's three-switches unification and the Pigovian capture threshold are taught in full in the classical-remedies chapter⁸; this chapter uses only the transfer rule below.

The seven-lane Conflictoring mechanism, its foreclosure/convex-suppression-cost model, and the Calabresi lane-selection test⁹ are taught in full in the Conflictoring chapters; here Conflictoring is read only as a player-set transformation under the Game-Change theorem (see below).

The six-case evidence base for Decision Accounting and its falsification condition are documented in full in the Decision Accounting chapter; here Decision Accounting is classified, as a case study, as an information-type game transformation (see below).

> The protected Chapter 17 illustration describes Portugal's 2001 policy change: eligible personal- > possession cases moved from the criminal route to a dissuasion commission, a health-and-social > panel. The exact legal threshold and scope remain pending the external policy source receipt. > > Make the ordinary judgment first. The whole public argument, for decades, had been about the > price of using: raise it (harsher penalties, deterrence) or lower it (leniency). By that > frame, removing the criminal price should make the problem worse. > > The instructional reconstruction asks whether the criminal route left a dependent user without a > welfare-preserving strategy: treatment, employment, or disclosure pathways that could improve the > system outcome under stated assumptions. Portugal's policy is used here to examine the proposed > strategy-space change; this reconstruction does not claim that the policy itself established a universal > welfare improvement. It is the operation this chapter teaches you to design, diagnose, and test. Source and transfer note. This remains an illustrative teaching reconstruction; no factual claims about the real case are asserted here. The legal arrangement can be checked against [Portugal Law 30/2000](https://diariodarepublica.pt/dr/detalhe/lei/30-2000-599720) and the [implementing Decree-Law 130-A/2001](https://diariodarepublica.pt/dr/legislacao-consolidada/decreto-lei/2001-221278567), with the [EUDA 2001 Portugal national report](https://www.euda.europa.eu/html.cfm/index34767EN.html_es) as a contemporaneous policy overview. Those sources support the existence and administrative structure of the dissuasion process; they do not by themselves establish a welfare improvement. The scene separates the documented policy arrangement (criminal-possession route changed to a health-and-social dissuasion process) from the instructional reconstruction of the missing strategy. Success signal: eligible people can reach the stated treatment or social support route and the pre-registered welfare measures (specified in advance, before the outcome is known) improve on the declared comparison. Failure signal: access is nominal, implementation does not reach the affected population, or the declared system outcomes fail to improve after the specified horizon. The case is a structural illustration, not a universal causal estimate or policy guarantee. *(Narrator throughline, arriving at its destination: the missing ledger line was named in the opening chapter, measured in the measurement chapter, and traced to seven repair lanes in the Conflictoring chapter. The course's recurring question was *what was decided, who gained, what system carried the residual, and — the part this chapter owns — what changes the next decision?)

this chapter proposes the following classifier for curriculum use; it is a definition and release gate, not a theorem. A formal result must be cited separately with its assumptions and proof. Not every bad outcome can be fixed by changing an institution — some are physical or biological limits. So the first question is a gate. A Hollow Win (recall: system loses while both parties gain, (0,1,1), defined in the relevant chapter) is repair-regular when its four moving parts can be named: 1. the parties — identify the actors in the focal interaction; 2. their incentives — state the private payoffs or constraints that shape the decision; 3. the missing system-welfare cost — the coordinate the payoff space leaves out (recall the MST: W is not a function of the parties' payoffs, the theorem chapter); 4. an available rule change — some legal, disclosure, enforcement, funding, or procurement lever that actually controls the damage. If the damage runs through a changeable rule structure, the case is repair-regular and the rest of this chapter applies. If the damage is a hard physical limit with no institutional lever on it, it is out of scope — you would first have to find the lever. *(This is the gate. Everything below assumes you have passed it.)*

Most "solutions" are slogans. The Game-Change test is what turns a proposed fix into a credible one. A fix earns the name game change only when it can name four things: - the harm signal — the measurable evidence the system is being drawn down (recall β_W = ΔW/Π, the measurement chapter — the harm-per-dollar-of-revenue ratio is the usual signal); - the rule line — the line that separates acceptable from unacceptable conduct; - the enforcer — the actor with the power to hold that line (recall the seven repair lanes, the Conflictoring chapter — the enforcer is whichever lane can act at the lowest total prevention cost); - why compliance becomes the better private strategy — the reason the welfare-preserving step now pays for the party who has to take it. A fix that cannot fill all four slots is not yet a game change; it is a wish. Political adoption, speed, and full restoration are separate questions the test does not pretend to answer. The theorem behind the test [formal result; assumptions in the Institutional Repair depth route](/curriculum/depth/institutional-repair): for a repair-regular institutional Hollow Win where the four parts are specified, there is a rule-change operator that produces a transformed game with at least one equilibrium whose system welfare is strictly higher than the inherited bad equilibrium. In plain language: after the rule changes the available choices, information, authority, or payoffs, at least one stable outcome has higher system welfare than the old harmful outcome. The public boundary is exact: the theorem supports strict improvement under its assumptions. It does not establish political adoption, full (1,1,1) restoration, or a guarantee that players select the better equilibrium. Those are implementation questions. Mechanism design chooses rules inside a fixed game; a game that cannot represent W requires a structural change before that optimization can finish the repair.

This is the diagnostic core, and it is the one place it is taught. Every repair-regular Hollow Win survives because of at least one of four structural deficiencies. Each names a different reason the system coordinate stays outside the game, and each has one matching transformation — an operation on a different component of the game. | # | Deficiency (why W stays out) | Transformation (what you change) | Illustrative case (not asserted as fact) | | 1 | Payoff misalignment — the welfare cost exists but no actor bears it | Modify the payoff so the actor carries the cost | Australia plain packaging for tobacco (2012), candidate | | 2 | Information asymmetry — a W-relevant signal exists but actors can't see it | Expand the information set to include the hidden signal | EU credit-rating (CRA) transparency rules, candidate | | 3 | Principal capture — the enforcement authority is captured, toothless, or uncommitted | Add a principal that has alignment, authority, and commitment | Norway's Government Pension Fund (fiscal decoupling), candidate | | 4 | Strategy absence — no party has a welfare-preserving strategy available | Expand the strategy space to add one that is welfare-preserving and leaves no party worse off | Portugal's decriminalization (2001), candidate — the cold open | Two properties make the taxonomy usable. First, it composes. The four transformations act on four different game components — payoffs, information, players, strategies — so they can be applied together without cancelling each other. That matters because real Hollow Wins usually carry several deficiencies at once (a tobacco market may need payoff modification and a new health principal and a cessation strategy), and the diagnosis tells you which fixes are live. Second, the transformation you reach for first should match the deficiency you actually have — the cold-open mistake is reaching for the payoff switch (a tax, a penalty) when the binding defect is a missing strategy or an unseen signal. RECALL — the classical-remedies chapter: Pigou, Coase, and Ostrom are the classical remedy comparisons; their full mechanisms and boundaries live there. this chapter uses only the transfer rule: diagnose which game component is deficient before selecting a transformation. Worked → faded → independent - Worked (Norway's Government Pension Fund). Diagnose: a petro-state's regulator and treasury both depend on the oil revenue they are supposed to police — principal capture (recall φ*, the fiscal-dependency threshold, the fiscal-capture chapter). The deficiency is #3. The transformation: add a principal with a governance mandate separated from maximizing current harmful output. Harm signal: the portfolio's stated system exposure. Rule line: pre-specified inclusion or exclusion criteria. Enforcer: the authorized fund-governance body. Why compliance may pay: portfolio access and capital demand become conditional on the rule. This is the protected source's structural illustration; a claim about realized welfare recovery requires separate evidence. - Faded (EU credit-rating transparency). Ratings shaped capital while the conflict of interest inside "issuer-pays" (the rated company pays the agency for its rating, biasing ratings favorably) stayed invisible. Which deficiency type is this, and which of the four transformations does the CRA transparency regime perform? *(Fill the harm signal, the rule line, the enforcer, and why disclosure changes the private calculus.)* - Independent (transfer check). Take a repair-regular Hollow Win not used in this course. Name which of the four deficiencies are active, the transformation each needs, and the one Game-Change slot your proposal is weakest on. If you can't fill a slot, say so — that is the honest output, not a failure. <details><summary>Complete answer key for the faded and independent work</summary> Faded credit-rating answer. The primary deficiency is information asymmetry: users of ratings cannot inspect enough of the evidence, methods, conflicts, and review process behind the signal. The matching transformation expands the information set. A complete Game-Change test still needs a measurable harm signal, a disclosure or evidence rule line, an authority able to enforce it, and a private consequence for noncompliance. If transparency leaves incentives and issuer influence unchanged, the answer must identify that remaining payoff or principal deficiency. Independent answer standard. Full credit requires the four repair-regularity inputs; one or more correctly matched deficiencies; a transformation on payoff, information, principal, or strategy; all four Game-Change slots; and an observable failure signal. The learner must state any physical, legal, administrative, or coalition boundary that could defeat the proposed repair. </details>

When a game change reduces the identified harm, the resulting difference in system welfare is the Reform Dividend: the difference between the transformed game's better equilibrium and the old bad one. It is a useful evaluation category — *drive the harm signal down and read what comes back^∗ — and it carries two conditions that remain attached to every estimate: 1. It is price-set conditional, exactly like β_W. The dividend is measured in the same currency as the loss — dollars placed on a death, a ton of carbon, a lost year of health. Change the price set and both the size and the domain ranking of dividends move. Never state a Reform Dividend as a fixed or settled figure; state it as directional, robust across a range of reasonable prices. 2. A case with an observed improvement is evidence about one setting, not a transfer guarantee. A country that changed a rule and appears to have recovered welfare supplies evidence consistent with an institutional pathway. It does not by itself establish the mechanism or show that the same rule works elsewhere. The local questions (who holds authority, which coalition benefits from the old game, what administrative capacity is missing, what sequence is required) have to be answered again each time. *(Illustrative arithmetic — round numbers to show the shape, not a measured claim about any real domain. A domain running a harm signal of β_W ≈ 8 on Π = $50B of revenue carries ΔW ≈ $400B of annual system loss. A game change that credibly halves the harm signal implies a Reform Dividend on the order of $200B/yr — conditional on the price set that produced the β_W, and on the reform actually adopting and holding locally. Halve the key price and you halve the dividend. The figures are illustrative; the discipline is not.)*

A program that cannot be wrong is not a program. this chapter states, once, the conditions under which the whole apparatus fails: - The Game-Change theorem is falsified if a repair-regular institutional Hollow Win — one whose four parts are fully specified and whose rule-change operator satisfies the theorem's feasibility and transformation assumptions — has no equilibrium of the transformed game with strictly higher system welfare than the old one. The test applies the transformation required by the case; it does not require every deficiency class when the case does not contain every deficiency. - The Decision-Accounting claim is falsified if any organization with a *fully implemented* decision-accounting system suffers a governance failure comparable to the documented four where the record's absence was a necessary condition — Wells Fargo, Purdue Pharma, Volkswagen, and the UK Post Office Horizon case. (Two cases run the other way: Singapore's MAS enforcement and the UK Senior Managers regime caught bad decisions the records made visible.) The claim is stated precisely enough to be wrong. These labels remain teaching candidates until their source, locator, implementation evidence, and case-admission status are approved in the case ledger; no named case is evidence merely because it appears in this sentence. - A Reform Dividend claim is falsified for a locale if, after a faithful local adaptation of a proven pathway, the pre-registered harm signal does not decline over the pre-registered window. That third condition is the one you will write yourself in the capstone: a reform without a stated failure signal is not a proposal, it is advocacy.

> A reformer shows that Country A changed one rule and its system-harm signal fell sharply. She > proposes copying the same rule, word for word, into Country B, and reports the same Reform > Dividend as the expected result. Is that a sound use of the proven case? > *(a) Yes — the mechanism worked once, so the recovered welfare is evidence it will recover the > same amount again · (b) No — the case proves the problem is institutional, not that the rule > transplants, and the dividend is conditional on B's prices and adoption.* > > (b). Picking (a) is the transfer fallacy this chapter exists to block. A working country case > is a proof of concept — it rules out "physically unfixable" — but it says nothing about whether > Country B's coalition, capacity, and prices will let the same rule take. And the size of any > dividend is price-set conditional, never a fixed or context-free amount. The sound step is to re-run the diagnosis in B, > name B's active deficiencies, and pre-register B's own failure signal.

> There is no the relevant chapter. The forward pull now is your own case. You have the whole method: the > repair-regularity gate, the four-part test, the four deficiencies and their transformations, the > conditional dividend, and the falsifier that keeps you honest. The capstone below is where you > stop reading the argument and run it.

Choose one Hollow Win that appears nowhere in this course — your industry, your beat, a market you know. Submit a single package (about one page plus the extract) with five parts: 1. One-page diagnostic. Name the Hollow Win and the evidence it exists (who gains, what system carries the residual). Pass it through the repair-regularity gate (parties, missing system cost, available rule change), then classify it into one or more of the four deficiency types. 2. Decision-record extract — three of the seventeen fields. From the seventeen-field record (defined in the Decision Accounting chapter; this is a partial extract of three of those seventeen fields), write: Field 15 ALTERNATIVES (what other options were on the table), Field 16 PREDICTION (the falsifiable claim the decision-maker is on record for), and Field 17 SYSTEM WELFARE (the system coordinate the decision drew down). 3. Lane plan. Of the seven repair lanes (the Conflictoring chapter), name the one that can act at the lowest total prevention cost, and say why the incumbent cannot block it. 4. Rule-change hypothesis. State the transformation, named by the game component it changes (payoff / information / principal / strategy), and fill all four Game-Change slots — harm signal, rule line, enforcer, why compliance becomes the better private strategy. 5. Failure signal. Pre-register the observable event that would show your diagnosis was wrong — your local falsification condition. If you cannot state one, you do not yet have a proposal. Self-check before you submit: every number wears its claim-status; any Reform Dividend is stated as directional and price-set conditional, never fixed; the record extract is marked as three of the seventeen fields; and the failure signal is specific and observable. That checklist is the course, applied by you, to a case no one handed you.