Multi-Audience Transparency and the
Decision Accounting
Multi-Audience Transparency and the Dissolution of Conformism: General Equilibrium Foundations for Decision Accounting
intro
Core claim
Conformism is architectural, not fundamental
Prat (2005) proved that transparency on action induces agents to suppress private signals about system welfare. This paper shows that adding multiple audiences with incompatible objectives dissolves that trap.
- Single-principal transparency: agent ignores welfare signals to appear competent to one audience.
- Multi-audience architecture: board, regulator, plaintiff bar, whistleblower each define competence differently.
- Conformism strictly dominated when adversarial audiences (e.g., plaintiff bar) can sanction welfare destruction.
motivation
Motivating case
TD Bank processed $18.3 trillion without monitoring for money laundering
The board evaluated management on bilateral revenue growth; management complied. Both parties gained while the financial system degraded — a Hollow Win.
- Not a compliance failure but a structural property of single-principal accountability.
- Bilateral payoff maximization excludes system welfare by construction (Missing System Theorem).
- The agent's private signal about welfare harm is suppressed because the single principal rewards bilateral revenue.
model
Model setup
Agent chooses effort and action; system welfare is unpriced in bilateral contracts
The agent observes a private signal about welfare impact. High effort improves signal accuracy but costs cH > cL. The single principal evaluates only bilateral payoff.
- Signal σH (W ≥ 0) or σL (W < 0); prior Pr(σH) = ρ.
- High effort accuracy pH > pL; cost difference c = cH − cL.
- In Prat regime, conformist pooling equilibrium: all agents take bilateral-payoff-maximizing action, ignoring σL.
- Welfare loss = W(d*) · (1 − ρ)(1 − pL).
architecture
Multi-audience architecture
17-field pre-decisional record broadcast to five heterogeneous principals
The Decision Accounting guardrail requires a structured record before finalizing any consequential choice. Field 17 records system welfare impact. Audiences include board, regulator, plaintiff bar, and whistleblower.
- Board maximizes bilateral payoff; regulator enforces compliance; plaintiff bar profits from identifying welfare destruction.
- Adversarial principals have payoffs strictly increasing in documented welfare harm or record inconsistencies.
- Activation threshold k*: when enough principals actively monitor, expected penalty for suppressing welfare signal exceeds career concern benefit.
ge1
GE1
Unique governance quality threshold θ* separates adopters from non-adopters
Firms above θ* adopt the mandate and earn cost-of-capital benefit; firms below do not because documentation costs exceed benefits. The equilibrium is stable.
- Benefit B(θ) = α · V (governance premium times firm value) increasing in θ; cost C(θ) constant.
- g(θ) = B(θ) − C(θ) strictly increasing; g(0) < 0, g(1) > 0 → unique crossing.
- Justifies graduated implementation: Tier 1 for high-θ firms, Tier 2/3 as quality improves.
ge2
GE2
Adoption cascades once fraction φ exceeds tipping threshold φ*
Each adopter improves the information environment for others, creating strategic complementarity. Non-adopters face increasing scrutiny as adoption spreads.
- Value of non-adoption VNA(φ) decreasing in φ; at φ > φ*, VNA < VA → cascade.
- Strategic complementarity: ∂²VA/∂φ∂θ > 0.
- Explains regulatory convergence: first jurisdiction to mandate creates cascade pressure.
ge3
GE3
Private adoption rate is below social optimum; Pigouvian subsidy s* closes the gap
Social benefit exceeds private benefit by an externality Ei from information spillovers, welfare deterrence, and litigation baseline effects.
- Bsocial = Bprivate + Ei, with Ei > 0.
- Firms with Bprivate < C ≤ Bsocial should adopt but won't without intervention.
- Mandatory adoption (e.g., DORA, OCC, SM&CR) approximates Pigouvian subsidy s* = Ei.
ge4
GE4
DA adoption reduces cost of capital by a governance-quality wedge; benchmark ≈ $348 billion annually
Using α = 112 basis points (Ashbaugh, Collins, LaFond 2004 midpoint) and θ − θ̄ = 0.5, Δr = 56 bps. Applied to U.S. listed market cap of 62.19 trillion, annual flow ≈ 348 billion.
- Sensitivity: α = 88 bps → 274B; α = 200 bps → 622B.
- Wedge is theoretically motivated; endogeneity of adoption remains identification challenge.
- Event studies around mandatory adoption waves can test whether adopter/non-adopter spread widens during transition.
ge5
GE5
Cost-of-capital and litigation risk signals are superadditive
Joint welfare gain exceeds sum of individual channels because the two signals inform different dimensions of governance quality (cash flow vs. tail risk).
- Fisher information from joint signal exceeds sum of marginal Fisher informations when signals are positively correlated in quality space.
- Interaction term γ · Cov(qCoC, qlitig) > 0 when good governance reduces both cost of capital and litigation risk.
- Multi-audience disclosure activates both channels; single-audience disclosure fails superadditivity.
resolution
Prat resolution
Conformist pooling equilibrium unravels when adversarial audiences exist
Proposition 2: With k ≥ 2 principals whose payoff signs differ on W(d), the conformist equilibrium does not survive. A separating equilibrium exists where the record truthfully reveals the signal.
- Agent faces plaintiff bar and board with opposed objectives; cannot pool on one definition of competence.
- Conformism survives only when bilateral career rent b exceeds expected adversarial sanction M = Σ μj sj.
- Once M > b, pooling unravels; system welfare enters agent's decision calculus.
welfare
Welfare gain formula
Documentation signal satisfies Holmström's informativeness principle
The record R is informative about effort beyond what the outcome reveals. Expected welfare gain from shifting effort from eL to eH is ΔW = (pH · pL · c · (qH − qL)) / ((pH − pL)(pH · qH − pL · qL)) > 0.
- Derived from Holmström (1979) Proposition 2.
- Strictly positive whenever pH > pL (signal informative) and qH > qL (effort improves quality).
- The formula is the paper's constructive welfare benchmark.
conclusion
What changes
Governance reform must change audience topology, not merely disclosure quantity
The paper's five theorems show that multi-audience architecture dissolves conformism, creates tipping cascades, justifies mandates, and amplifies welfare through dual signals.
- Single-principal transparency is structurally insufficient; adding heterogeneous audiences is the architectural fix.
- Policy implication: mandate pre-decisional documentation broadcast to multiple audiences (board, regulator, plaintiff bar, whistleblower).
- Empirical agenda: event studies around mandatory adoption waves to test GE4 amplification and GE2 cascade predictions.