Peer Oversight in Collective Decision Making

arXiv:2608.28754 · cs.GT, cs.AI, cs.MA · Submitted 2026-08-28 · Read on arXiv

cs.GT, cs.AI, cs.MA

Submitted: 2026-08-28

Updated: 2026-08-28

License: http://creativecommons.org/licenses/by/4.0/

The gist: This article introduces peer k-oversight, a property of sequential collective decision mechanisms requiring at least k agents to be responsible for every harmful outcome.

Abstract

This article introduces peer k-oversight, a property of sequential collective decision mechanisms requiring at least k agents to be responsible for every harmful outcome. It is shown that whenever k-oversight can be achieved by redistributing control over the decisions in a mechanism, it can be achieved using just k agents. A polynomial-time algorithm is also presented that determines whether such a redistribution exists and, when it does, constructs one. These results establish peer oversight as a tractable design principle for multiagent decision-making systems.

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