Reachability Switching Games

17^th January 2018, 13:00
Rahul Savani
University of Liverpool

Abstract

We study the problem of deciding the winner of reachability switching games. These games provide deterministic analogues of Markovian systems. We study zero-, one-, and two-player variants of these 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. In the one- and two-player cases, the problem of determining the winner of a switching game turns out to be much harder than the problem of determining the winner of a Markovian game. We also study the structure of winning strategies in these games, and in particular we show that both players in a two-player reachability switching game require exponential memory.

Joint work with John Fearnley, Martin Gairing, and Matthias Mnich.