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Pure Nash Equilibria in Concurrent Deterministic Games

Patricia Bouyer ; Romain Brenguier ; Nicolas Markey ; Michael Ummels.

We study pure-strategy Nash equilibria in multi-player concurrent deterministic games, for a variety of preference relations. We provide a novel construction, called the suspect game, which transforms a multi-player concurrent game into a two-player turn-based game which turns Nash equilibria into&nbsp;[&hellip;]

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The Complexity of Nash Equilibria in Stochastic Multiplayer Games

Michael Ummels ; Dominik Wojtczak.

We analyse the computational complexity of finding Nash equilibria in turn-based stochastic multiplayer games with omega-regular objectives. We show that restricting the search space to equilibria whose payoffs fall into a certain interval may lead to undecidability. In particular, we prove that the&nbsp;[&hellip;]

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