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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Admissible Strategies in Infinite Games over Graphs
verfasst von : Marco Faella
Erschienen in: Mathematical Foundations of Computer Science 2009
Verlag: Springer Berlin Heidelberg
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We consider games played on finite graphs, whose objective is to obtain a trace belonging to a given set of accepting traces. We focus on the states from which Player 1 cannot force a win. We compare several criteria for establishing what is the preferable behavior of Player 1 from those states, eventually settling on the notion of
admissible
strategy.
As the main result, we provide a characterization of the goals admitting positional admissible strategies. In addition, we derive a simple algorithm for computing such strategies for various common goals, and we prove the equivalence between the existence of positional winning strategies and the existence of positional subgame perfect strategies.