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Paper · arXiv

On Symmetry for Characterizing Agent Heterogeneity in Multi-Agent Systems

Understanding agent heterogeneity can inform the design of shared and agent-specific policy representations, however existing criteria provide no unified structural test. We study finite-horizon POSGs and define a type-compatible transformation as a policy-evaluation symmetry when complete policy evaluation commutes with it for every decentralized behavioral policy. Policy-evaluation symmetries form a group for which agent orbits define structural agent types. This classification does not depend on the particular policy chosen or the distribution of initial states. We prove that every componentwise environment automorphism is a policy-evaluation symmetry, but that the converse does not ho...

AuthorsJianhong Wang, Jonathan Lawry
Primary categorycs.MA
Published13 October 2026
Last updated at source13 October 2026
cs.MAcs.AI
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