A reduction from parity games to simple stochastic games

Krishnendu Chatterjee
(Institute of Science and Technology (IST Austria))
Nathanaël Fijalkow
(Institute of Science and Technology (IST Austria))

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.

In Giovanna D'Agostino and Salvatore La Torre: Proceedings Second International Symposium on Games, Automata, Logics and Formal Verification (GandALF 2011), Minori, Italy, 15-17th June 2011, Electronic Proceedings in Theoretical Computer Science 54, pp. 74–86.
Published: 4th June 2011.

ArXived at: https://dx.doi.org/10.4204/EPTCS.54.6 bibtex PDF
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