Concurrent games and semi-random determinacy

Stephane Le Roux

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arXiv · 1804.10896

Concurrent games and semi-random determinacy

Stephane Le Roux

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Abstract

Consider concurrent, infinite duration, two-player win/lose games played on graphs. If the winning condition satisfies some simple requirement, the existence of Player 1 winning (finite-memory) strategies is equivalent to the existence of winning (finite-memory) strategies in finitely many derived one-player games. Several classical winning conditions satisfy this simple requirement. Under an additional requirement on the winning condition, the non-existence of Player 1 winning strategies from all vertices is equivalent to the existence of Player 2 stochastic strategies winning almost surely from all vertices. Only few classical winning conditions satisfy this additional requirement, but a fairness variant of o

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Stephane Le Roux. 2018-04-29. Concurrent games and semi-random determinacy. https://arxiv.org/abs/1804.10896

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