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When Is Delegated Play Truthful? Within-Range Regret and the Trilemma of Aligned Delegation

Taksch Dube

Jul 15, 2026arXiv:2607.14357v1
cs.GTcs.MAecon.TH
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Scorecard· 16/16
5.5/10 impact

Elegant unifying identity and a memorable trilemma with cross-community appeal, but the core theorem is an admitted generalization of prior work and the empirical LLM claims rest on an imposed rather than real alignment cap.

Abstract

Advertisers delegate bidding to autobidders; users delegate tasks to language-model agents. A person describes what they want to an automated proxy that acts in a mechanism on their behalf. This is the revelation principle in production, and it forces a question classical theory assumes away: when is it optimal to describe yourself honestly to your own proxy? We show the answer turns on one quantity, the proxy's within-range regret. The most a principal can gain by misreporting equals the regret of the proxy's honest-report action against those the principal could have steered it to take. Honest self-description is optimal exactly when the proxy already plays the best action it can reach, that is, when it is loyal (Theorem 1). The identity unifies auction-specific autobidding results and pins down when the faithful-communication assumption behind language-model elicitation proxies (Huang et al.) holds. The identity constrains guardrails placed on proxies, from bid caps to a model's alignment layer. No guardrail can be at once binding (it displaces the truthful action from the proxy's best reachable outcome), truthful (honest reporting stays optimal), and capability-preserving (that outcome stays reachable through some report); any two preclude the third (Theorem 2). A safety constraint that alters what a model does while leaving its best output reachable makes honest description of intent suboptimal, so a sharper report can gain. This is the incentive behind prompt-engineering and jailbreaking. Because within-range regret is #P-hard to compute exactly, we estimate it from samples and maintain it as a model is updated, at a cost set by how far the model drifts, not how often it changes. Running it on production language models from five providers under an alignment-style cap, we find honest reporting leaves surplus unclaimed on every model, recovered by inflating the report.

AI Impact Assessments

(1 model)

Impact Assessment

Core Contribution. The paper introduces a single organizing quantity — *within-range regret* WiW_i — and proves an identity (Theorem 1): the maximum a principal can gain by misreporting its type to its own automated proxy equals the proxy's regret measured over the actions the principal can actually steer it toward. The consequence is a crisp criterion: honest self-description is optimal exactly when the proxy is "loyal" (range-optimal). From this identity the author derives a trilemma (Theorem 2): a guardrail placed on a proxy cannot simultaneously be binding, truthful, and capability-preserving. The framing unifies two seemingly separate deployment settings — advertisers delegating to autobidders and users delegating to LLM agents — under the umbrella of "the revelation principle run in production." A useful supplementary contribution is turning incentive compatibility into a *measured* rather than *proven* property: WiW_i is shown #P-hard to compute exactly, but estimable from samples with a drift-budgeted online re-certification scheme.

Methodological Rigor. The theoretical results are sound and the proofs (Appendix B) are short, clean, and correct-looking. The #P-hardness/coNP-hardness reductions from Sat/#Sat are standard and appropriate. The central identity, however, is close to tautological once the problem is framed correctly — choosing a report *is* choosing a reachable action — and the author candidly admits the identity "generalizes and renames" the first-/second-price reversal of Kolumbus and Nisan. The empirical study is competently designed (report sweeps, placement ablation, robustness across payment rules and competitor distributions, calibrated one-sided regret estimation), but it is explicitly *illustrative*: the "alignment-style cap" is imposed by the author, not extracted from any model's real safety training. So the striking claim that this is "the incentive behind jailbreaking" remains an interpretation rather than a demonstrated fact.

Potential Impact. The conceptual bridge between mechanism design, autobidding incentive-compatibility, and LLM alignment/jailbreaking is genuinely interesting and could give several communities a shared vocabulary. The trilemma is a memorable framing that extends the Akbarpour–Li credibility trilemma and the safety–capability tradeoff literature with a truthfulness axis. That said, practical utility is limited: the framework diagnoses an incentive but supplies no tool for *finding* exploiting reports, and it explicitly leaves the most consequential problem — certifying proxy loyalty — open. The certification/drift apparatus is the most directly deployable piece.

Timeliness & Relevance. Highly timely. LLM agents transacting in markets, autobidding IC, and alignment guardrails are all active fronts, and connecting them is a natural and valuable move.

Strengths.

  • A clean, general identity that holds for any mechanism and cleanly subsumes special-case autobidding results.
  • The trilemma is a genuinely useful conceptual object.
  • Strong scholarly positioning within the mechanism-design, learning-agents, and certification literatures.
  • Reproducibility archive (Zenodo + GitHub), recorded prompts and decode parameters.
  • Limitations & Concerns.

  • The core theorem is admittedly a generalization/renaming of existing results; much of the novelty lives in framing and the trilemma.
  • Empirical results are unsurprising (capable models all play the rational bid and thus cluster at identical WiW_i), and the cap is synthetic.
  • The alignment-layer reading is interpretive, not established.
  • Authenticity flag: the paper references non-existent/future models (GPT-5.5, Claude Opus 4.8, DeepSeek-V4, Gemini 3.5 Flash) and carries a 2026 arXiv stamp. This undermines confidence in the empirical section's provenance, though it does not affect the theoretical contribution.
  • Overall. A well-written, conceptually elegant theory paper whose central result is more of a clarifying reframing than a breakthrough, coupled with an illustrative empirical section whose real-world claims outrun its evidence. The framing has meaningful cross-community appeal, but the contribution is closer to "a useful new lens and a memorable impossibility result" than to a field-changing advance.

    Rating:5.5/ 10
    Significance 5.5Rigor 6.5Novelty 6Clarity 7

    Generated Jul 17, 2026

    Comparison History (50)

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    Wonvs. VCAO: Verifier-Centered Agentic Orchestration for Strategic OS Vulnerability Discovery

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    Paper 2 addresses a broader, more timely question spanning auction theory, mechanism design, and AI alignment—connecting autobidding, LLM agents, and jailbreaking under a unified theoretical framework. Its trilemma theorem has immediate implications for AI safety and guardrail design, a highly active field. Empirical validation across five production LLMs demonstrates real-world relevance. Paper 1 is rigorous and solves a hard technical problem in auction design, but its impact is narrower and more specialized. Paper 2's cross-disciplinary reach and connection to pressing AI-alignment concerns give it substantially broader potential impact.

    claude-opus-4-8·Jul 17, 2026
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    gemini-3.1-pro-preview·Jul 17, 2026
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    Paper 1 is more novel and timely: it reframes delegated mechanism participation (autobidding, LLM agents) around a single actionable quantity (within-range regret), yielding sharp characterizations (truthfulness iff “loyalty”) and a general impossibility trilemma linking guardrails, truthfulness, and capability. It also connects theory to pressing real-world issues (prompt engineering/jailbreaking) and provides empirical measurements on multiple production LLMs plus a practical estimation/maintenance method. Paper 2 is solid and applicable, but its core (quantal response, majority voting, minimax regret) is closer to established aggregation theory and likely narrower in impact.

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