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arXiv · 2311.14373

From Local To Global Optimality in Concurrent Parity Games

Benjamin Bordais·Patricia Bouyer·Stéphane Le Roux
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Abstract

We study two-player games on finite graphs. Turn-based games have many nice properties, but concurrent games are harder to tame: e.g. turn-based stochastic parity games have positional optimal strategies, whereas even basic concurrent reachability games may fail to have optimal strategies. We study concurrent stochastic parity games, and identify a local structural condition that, when satisfied at each state, guarantees existence of positional optimal strategies for both players.

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Benjamin Bordais, Patricia Bouyer, Stéphane Le Roux. 2023-11-24. From Local To Global Optimality in Concurrent Parity Games. https://arxiv.org/abs/2311.14373

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