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arXiv · 1709.08991

Reachability Switching Games

John Fearnley·Martin Gairing·Matthias Mnich·Rahul Savani
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Abstract

We study the problem of deciding the winner of reachability switching games for zero-, one-, and two-player variants. Switching games provide a deterministic analogue of stochastic games. We show that the zero-player case is NL-hard, the one-player case is NP-complete, and that the two-player case is PSPACE-hard and in EXPTIME. For the zero-player case, we also show P-hardness for a succinctly-represented model that maintains the upper bound of NP $\cap$ coNP. For the one- and two-player cases, our results hold in both the natural, explicit model and succinctly-represented model. Our results show that the switching variant of a game is harder in complexity-theoretic terms than the corresponding stochastic version.

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John Fearnley, Martin Gairing, Matthias Mnich, Rahul Savani. 2021-04-21. Reachability Switching Games. https://doi.org/10.23638/lmcs-17(2%3A10)2021

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