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arXiv · 1106.1232

A reduction from parity games to simple stochastic games

Krishnendu Chatterjee·Nathanaël Fijalkow
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Abstract

Games on graphs provide a natural model for reactive non-terminating systems. In such games, the interaction of two players on an arena results in an infinite path that describes a run of the system. Different settings are used to model various open systems in computer science, as for instance turn-based or concurrent moves, and deterministic or stochastic transitions. In this paper, we are interested in turn-based games, and specifically in deterministic parity games and stochastic reachability games (also known as simple stochastic games). We present a simple, direct and efficient reduction from deterministic parity games to simple stochastic games: it yields an arena whose size is linear up to a logarithmic factor in size of the original arena.

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Krishnendu Chatterjee, Nathanaël Fijalkow. 2011-06-07. A reduction from parity games to simple stochastic games. https://doi.org/10.4204/eptcs.54.6

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