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This research establishes optimal robust decision rules for agents interacting with potentially misaligned advisers, framing the solution as a trust-region policy within belief space. By deriving alignment thresholds where advice becomes strictly valuable, the study provides rigorous theoretical bounds for integrating unreliable external signals into AI agent architectures.
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Robust Trust

arXiv2 min read

arXiv:2602.09490v2 Announce Type: cross Abstract: An agent chooses an action based on her private information and a recommendation from an informed but potentially misaligned adviser. With a known probability, the adviser truthfully reports his signal; with the remaining probability, he can send any message. We characterize optimal robust decision rules that maximize the agent's worst-case expected payoff. Every optimal rule is equivalent to a trust-region policy in belief space: the adviser's reported beliefs are taken at face value if they fall within the trust region but are otherwise clipped to the trust region's boundary. We derive alignment thresholds above which advice is strictly valuable and fully characterize the solution in both binary-state and binary-action environments.

Abstract:An agent chooses an action based on her private information and a recommendation from an informed but potentially misaligned adviser. With a known probability, the adviser truthfully reports his signal; with the remaining probability, he can send any message. We characterize optimal robust decision rules that maximize the agent's worst-case expected payoff. Every optimal rule is equivalent to a trust-region policy in belief space: the adviser's reported beliefs are taken at face value if they fall within the trust region but are otherwise clipped to the trust region's boundary. We derive alignment thresholds above which advice is strictly valuable and fully characterize the solution in both binary-state and binary-action environments.

Theoretical Economics (econ.TH); Artificial Intelligence (cs.AI); Computer Science and Game Theory (cs.GT)

arXiv:2602.09490 [econ.TH]

(or arXiv:2602.09490v2 [econ.TH] for this version)

https://doi.org/10.48550/arXiv.2602.09490 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 211 words

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