The Complexity of Admissibility in Omega-Regular Games
Computer Science and Game Theory
2014-01-24 v3
Abstract
Iterated admissibility is a well-known and important concept in classical game theory, e.g. to determine rational behaviors in multi-player matrix games. As recently shown by Berwanger, this concept can be soundly extended to infinite games played on graphs with omega-regular objectives. In this paper, we study the algorithmic properties of this concept for such games. We settle the exact complexity of natural decision problems on the set of strategies that survive iterated elimination of dominated strategies. As a byproduct of our construction, we obtain automata which recognize all the possible outcomes of such strategies.
Keywords
Cite
@article{arxiv.1304.1682,
title = {The Complexity of Admissibility in Omega-Regular Games},
author = {Romain Brenguier and Jean-François Raskin and Mathieu Sassolas},
journal= {arXiv preprint arXiv:1304.1682},
year = {2014}
}