Why Mandatory Disclosure Cannot Correct Structural Harm Markets: A Theorem of Payoff-Invariant Regulation

Mandatory disclosure cannot fix a market where both buyer and seller gain while society loses

The Disclosure Futility Theorem proves that information alone cannot convert a welfare-destroying transaction into a welfare-improving one when system welfare is excluded from the bilateral payoff space.

• System welfare is structurally outside the payoff space of buyer and seller.
• Disclosure updates beliefs but does not change objective functions, feasible sets, or discount rates.
• The harmful equilibrium persists.

Six decades of cigarette warnings failed to prevent 20 million deaths

The 1965 Cigarette Labeling and Advertising Act mandated text warnings, yet annual system welfare cost exceeds $600 billion and 20 million Americans died from smoking-related causes.

• Disclosure fails not because consumers are irrational, but because the game structure excludes system welfare.
• The private transaction remains privately optimal despite social harm.

Four axioms define when disclosure is futile

The theorem rests on A1: W-Independence (system welfare outside bilateral payoff space), A2: Non-Observability (harm not directly observable at transaction time), A3: Discount Rate Asymmetry (private discount rates exceed social rates), and A4: Disclosure-Only Intervention (only signal distribution changes).

• A1: System welfare is not a function of the parties' payoff functions.
• A2: System welfare change is not directly observable at transaction time.
• A3: Private discount rates exceed social rates; neurochemical dependency can make effective discount rate approach infinity.
• A4: Intervention modifies only the signal distribution, not payoffs, feasible set, or party identities.

Disclosure does not enter the objective function or change the equilibrium

Step 1: Updating beliefs about a variable not in the objective function does not change the optimizer. Step 2: Even full information does not change equilibrium due to discount rate asymmetry. Step 3: In neurochemical limiting case, disclosed information carries zero decision-weight. Step 4: No deviation from harmful equilibrium is profitable.

• Disclosure does not modify what parties care about or the constraints they face.
• The harmful equilibrium action remains a Perfect Bayesian Equilibrium.

Six domains over five decades show zero to trivial effects

from calorie labels, alcohol warnings, gambling disclosures, tobacco text warnings, opioid black-box warnings, and retail financial risk documents consistently shows disclosure fails to reduce welfare harm.

• System welfare beta for disclosure-only regulation in U.S. tobacco is bounded at β_W ≥ 4.0.
• Opioid epidemic: system welfare beta is 43.8, in strong intractability range.
• FDA-mandated black-box warnings did not change equilibrium because neurochemical mechanism operated outside deliberative system.

Purdue Pharma's OxyContin: black-box warnings failed despite known harms

The disclosure regime did not change the equilibrium because the neurochemical mechanism driving consumption operated outside the deliberative system. System welfare beta is 43.8.

• Private discount rates effectively infinite due to addiction.
• Disclosed information carried zero decision-weight for dependent users.

UK fixed-odds betting terminals: warnings did not reduce harm

Despite mandated disclosures on gambling machines, the structural harm persisted because the game's payoff structure excluded system welfare.

• Private discount rates exceed social rates, making immediate reward dominate future harm.
• Disclosure does not change the feasible set or objective function.

Five conditions that would disprove the theorem

The theorem is falsifiable: if a disclosure policy produces a statistically significant reduction in harm attributable to information transmission, the theorem would be disproved.

• Disclosure changes objective functions or feasible sets.
• Harm is directly observable at transaction time.
• Private discount rates equal social rates.
• Intervention modifies payoffs, constraints, or party identities.
• Neurochemical dependency absent.

When the theorem does not apply

The theorem does not apply to non-PST games, rational agents with low discount rates, affective interventions, or combined interventions that modify payoffs.

• Non-PST games: system welfare may be internalized.
• Rational agents with low discount rates: disclosure can affect decisions.
• Affective interventions: change emotional response, not merely beliefs.
• Combined interventions: disclosure plus payoff changes can work.

Shift regulatory capital from information provision to game transformation

The theorem clears the ground for interventions that modify payoffs, feasible sets, or party identities rather than beliefs.

• Nordic alcohol monopoly model: changes feasible set and payoffs.
• Australia's tobacco plain packaging: removes branding, changes party identity.
• Game-transformation interventions work because they alter the structural incentives.

The relevant design margin is not the signal but the game

Mandatory disclosure is structurally insufficient to correct harm markets. Regulatory effort should focus on changing the game itself.

• Disclosure-only regulation has system welfare beta bounded at ≥4.0 for U.S. tobacco.
• Opioid epidemic beta of 43.8 shows strong intractability.
• Game transformation is the only path to welfare improvement.