Hidden Commitment Power is Powerless

Hongcheng Li

arxiv: 2606.02769 · v1 · pith:MGDKEWT6new · submitted 2026-06-01 · 💰 econ.TH

Hidden Commitment Power is Powerless

Hongcheng Li This is my paper

Pith reviewed 2026-06-28 11:26 UTC · model grok-4.3

classification 💰 econ.TH

keywords commitment powerIntuitive Criterionincomplete informationcontract theoryrenegingcredit ratingprincipal-agentoff-path beliefs

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The pith

Every type of principal behaves and earns payoffs exactly as if she were commonly known to have the least commitment power.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

A principal offering a contract can renege when her private outside option is attractive enough; the size of this temptation measures her commitment power. The paper studies how contracting changes when this information is asymmetric between the principal and the agent. Disciplining off-path beliefs with the Intuitive Criterion produces the result that every type of principal acts and receives payoffs identical to the case where the lowest commitment power is common knowledge. This renders hidden commitment power powerless. A sympathetic reader would care because the finding gives a clear policy rule: measures to reduce the asymmetry help only if they improve the worst-case commitment power, and it explains the monotone-partitional form used in credit ratings.

Core claim

In a game of incomplete information about the principal's outside option value, the Intuitive Criterion applied to off-path beliefs implies that every type of principal behaves and earns payoffs exactly as if she were commonly known to have the least commitment power. Hidden commitment power is therefore powerless. The result delivers an unambiguous policy lesson on how to mitigate this information asymmetry prior to contracting: only measures that improve the worst case have value. Applied to credit rating, it rationalizes the monotone-partitional structure widely used in practice.

What carries the argument

The Intuitive Criterion refinement applied to the incomplete-information game about the principal's outside option value, which forces all types to pool on the behavior and payoffs of the weakest type.

If this is right

Contracting outcomes and payoffs are identical to the complete-information case with only the weakest type.
The distribution of commitment-power types does not affect equilibrium behavior or payoffs.
Policies that address the information asymmetry improve outcomes only if they raise the minimum commitment power.
The monotone-partitional rating structures observed in credit markets arise as equilibrium responses to hidden commitment power.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The same pooling logic may appear in other signaling settings where one side has private information about its ability to follow through on promises.
Making commitment power public would not change outcomes unless it also changes the support of possible types.
Empirical tests could examine whether contract terms in debt or procurement markets vary with observable proxies for the principal's outside options in the predicted way.

Load-bearing premise

The Intuitive Criterion is the appropriate refinement for disciplining off-path beliefs in this game of incomplete information about the principal's outside option value.

What would settle it

Observe whether principals whose outside option value is known to be low (high commitment power) offer different contracts or receive different payoffs than principals whose outside option value is known to be high (low commitment power) when information is asymmetric.

read the original abstract

A principal who offers a contract may renege when her default option is sufficiently attractive. The size of this temptation, which measures her commitment power, is often her private information. This paper asks how contracting outcomes change under this information asymmetry. Disciplining off-path beliefs with the Intuitive Criterion, I find that every type of principal behaves and earns payoffs exactly as if she were commonly known to have the least commitment power. Hidden commitment power is therefore powerless. The result delivers an unambiguous policy lesson on how to mitigate this information asymmetry prior to contracting: only measures that improve the worst case have value. Applied to credit rating, it rationalizes the monotone-partitional structure widely used in practice.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

Hidden commitment power pools to the lowest type under the Intuitive Criterion, but the result is likely sensitive to that specific refinement.

read the letter

The paper shows that when a principal's temptation to renege is her private information, the Intuitive Criterion forces every type to offer the contract and receive the payoff of the lowest-commitment type. The outcome is exactly as if commitment power were common knowledge at its minimum.

This is a direct application of the refinement to a signaling game over the principal's outside option. The derivation produces a clean pooling prediction and a sharp policy claim: only changes that improve the worst-case commitment have value. The credit-rating example, where monotone-partitional structures appear in practice, follows naturally from the result.

The model setup and the policy takeaway are the parts that hold up. The logic is internally consistent and does not rest on free parameters or circular citations.

The soft spot is the dependence on the Intuitive Criterion. Stronger refinements such as D1 or divinity can support beliefs that let high-commitment types separate by choosing contracts low-commitment types would not mimic even under optimistic responses. The paper does not check survival under those alternatives, so the central claim is narrower than the title suggests. Equilibrium construction details are also not visible in the abstract, though the full text presumably supplies them.

Contract theorists working on commitment, renegotiation, and signaling refinements would find this useful. It deserves peer review because the result is sharp enough to merit discussion of the refinement choice and the applied interpretation, even if revisions are needed on robustness.

Referee Report

1 major / 1 minor

Summary. The paper analyzes a principal-agent contracting model in which the principal's commitment power—measured by the value of her outside option—is her private information. By modeling the interaction as a signaling game and disciplining off-path beliefs with the Intuitive Criterion, the author shows that every principal type offers the contract and receives the payoff of the lowest-commitment type, rendering hidden commitment power powerless. The result yields a policy implication that only interventions improving the worst-case scenario have value and rationalizes the monotone-partitional rating structures observed in credit-rating practice.

Significance. If the derivation holds, the paper delivers a sharp, refinement-based prediction that private information about commitment power collapses to the worst-case outcome. This has clear policy content and supplies a theoretical rationale for observed credit-rating practices. The explicit use of the Intuitive Criterion to obtain the pooling result is a strength of the analysis.

major comments (1)

[Equilibrium analysis and refinement section (application of Intuitive Criterion to the signaling game)] The central claim that all types pool on the lowest-commitment contract rests on the application of the Intuitive Criterion to off-path beliefs. The paper does not verify whether the same pooling outcome obtains under D1 or divinity; these stronger refinements can support separation when a high-commitment type chooses a contract that would be dominated for low-commitment types even under optimistic responses. This is load-bearing for the claim that hidden commitment power is powerless, because the result may be refinement-specific rather than robust.

minor comments (1)

[Abstract] The abstract states the policy lesson clearly but could briefly note the principal's outside-option value to make the definition of commitment power self-contained for readers.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading and for identifying the need to address refinement robustness. We respond to the single major comment below.

read point-by-point responses

Referee: The central claim that all types pool on the lowest-commitment contract rests on the application of the Intuitive Criterion to off-path beliefs. The paper does not verify whether the same pooling outcome obtains under D1 or divinity; these stronger refinements can support separation when a high-commitment type chooses a contract that would be dominated for low-commitment types even under optimistic responses. This is load-bearing for the claim that hidden commitment power is powerless, because the result may be refinement-specific rather than robust.

Authors: We agree that the manuscript applies the Intuitive Criterion without an explicit check against D1 or divinity. The paper selects the Intuitive Criterion because it is the weakest refinement that eliminates non-pooling equilibria and delivers the sharp prediction that every type earns the payoff of the lowest-commitment type. In the revision we will add a dedicated subsection (or appendix) that verifies whether the pooling outcome survives under D1. If D1 permits separation for some parameter values, we will report the conditions and discuss the implications for the policy conclusion; if the pooling result is preserved, we will state this explicitly. This addresses the concern that the finding may be refinement-specific. revision: yes

Circularity Check

0 steps flagged

No circularity: result follows from standard Intuitive Criterion applied to signaling game

full rationale

The paper's central claim is obtained by applying the Intuitive Criterion (a standard refinement from Cho and Kreps 1987) to off-path beliefs in the incomplete-information game over the principal's outside-option value. The abstract states that under this refinement every type behaves as if commonly known to have the least commitment power. This is a direct equilibrium derivation from the game structure and the external refinement; it does not reduce by the paper's own equations to a fitted parameter, self-defined construct, or self-citation chain. No self-citation is load-bearing, no uniqueness theorem is imported from the author's prior work, and no ansatz is smuggled in. The derivation is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The result rests on standard assumptions of contract theory plus the Intuitive Criterion as the belief refinement; no free parameters or invented entities are mentioned in the abstract.

axioms (2)

domain assumption The Intuitive Criterion is the appropriate way to discipline off-path beliefs about the principal's type.
Invoked explicitly to obtain the pooling result.
domain assumption The principal's commitment power (temptation to renege) is her private information.
Core modeling choice stated in the setup.

pith-pipeline@v0.9.1-grok · 5624 in / 1238 out tokens · 21706 ms · 2026-06-28T11:26:22.682758+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

2 extracted references

[1]

An incomplete contracts approach to financial contracting,

Aghion, Philippe and Patrick Bolton, “An incomplete contracts approach to financial contracting, ” The review of economic Studies, 1992,59(3), 473–494. Araujo, Aloisio, Daniel Gottlieb, and Humberto Moreira, “A model of mixed signals with applica- tions to countersignalling, ”The RAND Journal of Economics, 2007,38(4), 1020–1043. Bagwell, Kyle, “Commitment...

1992
[2]

Applying Theorem 2.Since all assumptions hold, Theorem 2 applies, yieldingU IE P (θ) =U SI(θ)for all θ, and every on-path contract lies inΦ SI(θ) ={r SI(θ)}

The investor’s best response isi SI(θ) =r SI(θ), and the issuer’s payoff isU SI(θ) =r SI(θ)−r SI(θ)2. Applying Theorem 2.Since all assumptions hold, Theorem 2 applies, yieldingU IE P (θ) =U SI(θ)for all θ, and every on-path contract lies inΦ SI(θ) ={r SI(θ)}. The investor’s response isiSI(θ) =r SI(θ). This is Theorem 1.■ B.4 Proof of Theorem 2 The proof p...

1990

[1] [1]

An incomplete contracts approach to financial contracting,

Aghion, Philippe and Patrick Bolton, “An incomplete contracts approach to financial contracting, ” The review of economic Studies, 1992,59(3), 473–494. Araujo, Aloisio, Daniel Gottlieb, and Humberto Moreira, “A model of mixed signals with applica- tions to countersignalling, ”The RAND Journal of Economics, 2007,38(4), 1020–1043. Bagwell, Kyle, “Commitment...

1992

[2] [2]

Applying Theorem 2.Since all assumptions hold, Theorem 2 applies, yieldingU IE P (θ) =U SI(θ)for all θ, and every on-path contract lies inΦ SI(θ) ={r SI(θ)}

The investor’s best response isi SI(θ) =r SI(θ), and the issuer’s payoff isU SI(θ) =r SI(θ)−r SI(θ)2. Applying Theorem 2.Since all assumptions hold, Theorem 2 applies, yieldingU IE P (θ) =U SI(θ)for all θ, and every on-path contract lies inΦ SI(θ) ={r SI(θ)}. The investor’s response isiSI(θ) =r SI(θ). This is Theorem 1.■ B.4 Proof of Theorem 2 The proof p...

1990