Bias Is Optional; Capture Is Structural
Decision Accounting
Bias Is Optional; Capture Is Structural
core
Thesis
Rational managers can produce system harm when system welfare is outside the payoff space
The paper argues that the 2008 crisis does not require a story about irrational executives. Lehman’s leaders optimized the incentives they faced while the stability of the financial system was absent from the formal decision calculus.
- Lehman filed for bankruptcy with $639 billion in assets.
- The crisis destroyed about 11 trillion in household wealth, caused 8.8 million U.S. job losses, and required 700 billion in taxpayer-funded bailouts.
- The named managers were Richard Fuld, Christopher O'Meara, Ian Lowitt, and Erin Callan.
behavioral
Behavioral Account
The paper accepts bias research but rejects it as the cause of 2008
Malmendier and Tate, Ben-David, Graham, Harvey, Kahneman, and Lovallo identify real cognitive mechanisms. The paper’s claim is narrower: those mechanisms did not cause the shadow-banking Hollow Win.
- CEO overconfidence, CFO miscalibration, inside-view bias, and temporal myopia are treated as real but incomplete explanations.
- The firm-level behavioral literature keeps the firm as the dependent variable.
- System welfare appears, at most, as a control variable rather than as a payoff dimension.
game
Game Structure
The bilateral game G = A, B leaves the system C out of the choice set
Regulated firms and counterparties bargain inside a four-outcome game. The system is affected by the outcome but is not a strategic participant in the payoff function.
- Party A is the regulated firm; Party B is the direct counterparty; C is the regulatory framework, public fisc, social contract, infrastructure, or environment.
- The Missing System Theorem says W is excluded by construction in G = A, B .
- Only the transformed game G1 = A, B, C makes the Win-Win-Win outcome (1,1,1) visible.
taxonomy
Hollow Win
Pre-2008 finance fits the paper’s Hollow Win cell: C=0, A=1, B=1
Banks and counterparties gained while the financial system became more fragile. The paper names this outcome as the canonical signature of Missing System Theorem failure.
- Banks booked record profits, so A=1.
- Institutional investors, pension funds, and insurers received high yields on AAA-rated mortgage-backed securities, so B=1.
- The system degraded through use above 30:1, opaque counterparty risk, and dependence on rising housing prices, so C=0.
theorem
1
When φ exceeds 0.3, higher rationality moves managers toward Hollow Win
The Capture-Without-Bias Theorem states that with system welfare excluded from the payoff space, fully informed expected-utility maximizers converge toward Hollow Win as r approaches 1.
- Capture index φ is the proportion of regulatory oversight endogenous to industry influence.
- Manager rationality r=1 means perfect expected-utility maximization under full information.
- The threshold in the theorem is φ > 0.3.
mechanism
Mechanism
Capture lowers effective compliance cost and raises βW
The proof uses a firm payoff that contains revenue and compliance cost, but not system welfare. As capture rises, the firm expands revenue until system costs are shifted outside the private calculus.
- Firm payoff: Ui = Πi - (1-φ)·K(Πi).
- First-order condition: K'(Πi) = 1/(1-φ).
- The derived marginal system welfare loss is βW = φ/(1-φ).
paradox
Debiasing Paradox
Debiasing raises harm when it raises r without changing G
The paper’s Debiasing Paradox follows from Axiom 8: interventions that improve managerial optimization do not alter the payoff function. They only make managers solve the system-excluding problem better.
- Corollary 1 applies in industries with φ > 0.5.
- A debiasing intervention that increases r by Δr increases βW by about [φ/(1-φ)2]·Δr.
- The mechanism is more efficient extraction from C, not worse information.
disclosure
Disclosure Futility
Disclosure changes information, not incentives, unless it changes payoffs
2 says system-welfare disclosure has zero effect on equilibrium outcomes in a captured bilateral game unless disclosure triggers liability, regulatory action, cost-of-capital effects, or another payoff change.
- Disclosure changes the information set from I = ∅ to I' = Wi(Πi) for all i .
- The manager still maximizes Ui = Πi - (1-φ)·K(Πi).
- The paper’s ESG corollary applies this logic to disclosure mandates without enforcement.
conflictoring
Conflictoring
Regulators and firms both prefer W unmeasured when φ is high
The Conflictoring Theorem formalizes why formally adversarial parties can align around information suppression. The regulator avoids reputational damage from acknowledged system loss; the firm avoids system-cost internalization.
- Regulator payoff: UR = BR - LR(φ) - DR(W).
- Firm payoff: UA = ΠA - (1-φ)·K(ΠA).
- For φ > 0.3, both payoffs rise with φ and fall when acknowledged W increases.
reform
Game Change
Decision Accounting works only when Field 17 becomes enforceable
The proposed transformation R changes the payoff function by making SYSTEMWELFARE a legal decision variable rather than a reportable fact.
- New firm payoff: U' = Πi - (1-φ)·K(Πi) - λ·Wi(Πi).
- 4 requires mandatory Field 17, regulator independence with φ < 0.3, and automatic enforcement.
- In the linear case, λ > φ/(1-φ) is sufficient to preserve C.
nordic
Of Concept
Sweden’s post-1992 banking model is the paper’s main empirical reform case
The paper uses the Nordic banking model to show that lowering capture and enforcing system-welfare accounting can reduce βW without reducing shareholder returns.
- Sweden, 1992-2023: φ fell from 0.8 to 0.2.
- βW fell from 22.4 to 1.8.
- The paper also reports the comparative range φ = 0.15-0.25 and βW = 1.8 for Sweden, versus U.S. βW = 8.3-12.7 with φ = 0.8-0.9.
falsify
Falsifiability
The theory can fail if game structure is not doing the work
The paper presents the Capture-Without-Bias Theorem as empirically testable, not as a metaphor for bad management.
- A controlled or natural experiment where debiasing reduces system harm in an industry with φ > 0.5 would refute the Debiasing Paradox.
- The SAPM corpus reports 49-52 confirmed domains with zero counterexamples.
- Across 61 domains, the corpus reports βW values from 0.76 to approximately 51 and a Reform Dividend of roughly $73.8T per year.