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Paper · arXiv

Learning Rational Strategies for Temporal Objectives in Multi-Agent Systems

We study rational synthesis for stochastic multi-agent systems with unknown dynamics, where each agent is equipped with its own probabilistic temporal objective specified using Probabilistic Linear Temporal Logic on Finite Traces ($\mathsf{PLTL}_f}$). We impose solution concepts (e.g., Nash equilibrium, subgame-perfect equilibrium) as constraints on the joint strategy profile, using payoffs derived from each agent's probability of satisfying its temporal objective. In particular, we formulate per-agent rational synthesis as finding a strategy profile -- if one exists -- such that (i) the designated agent's probabilistic temporal constraint is satisfied, and (ii) the profile represents a s...

AuthorsOmar Adalat, Edwin Hamel-De le Court, Francesco Belardinelli
Primary categorycs.LG
Published15 October 2026
Last updated at source15 October 2026
cs.LGcs.LOcs.MA
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