The determinacy of infinite games with eventual perfect monitoring

Details The determinacy of infinite games with eventual perfect monitoring The determinacy of infinite games with eventual perfect monitoring

2009-02-13

arxiv.org/abs/0902.2254v2

Proc. Amer. Math. Soc. 139 (2011), 3665-3678

Mathematics

Logic

Added a section with open questions. Similar to journal version

Scientific paper

n infinite two-player zero-sum game with a Borel winning set, in which the opponent's actions are monitored eventually but not necessarily immediately after they are played, is determined. The proof relies on a representation of the game as a stochastic game with perfect information, in which Chance operates as a delegate for the players and performs the randomizations for them, and on Martin's Theorem about the determinacy of such games.

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