Reachability Switching Games



Fearnley, John, Gairing, Martin, Mnich, Matthias and Savani, Rahul ORCID: 0000-0003-1262-7831
(2017) Reachability Switching Games. .

[img] Text
1709.08991v1.pdf - Published version

Download (224kB)

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.

Item Type: Other
Uncontrolled Keywords: cs.FL, cs.FL, cs.GT, cs.LO
Depositing User: Symplectic Admin
Date Deposited: 05 Oct 2017 06:49
Last Modified: 19 Jan 2023 06:53
DOI: 10.4230/LIPIcs.ICALP.2018.124
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3009773