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routineAgents & LLM SystemsPeer k-oversight2608.28754

Peer Oversight in Collective Decision Making

Sarah Mohsen, Pavel Naumov

cs.GT cs.AI cs.MA

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.

Topics

Classified with taxonomy v2 on Sat, 5 Sept 2026.

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