Rational Verification in Iterated Electric Boolean Games
Computer Science and Game Theory
2016-07-13 v2 Logic in Computer Science
Abstract
Electric boolean games are compact representations of games where the players have qualitative objectives described by LTL formulae and have limited resources. We study the complexity of several decision problems related to the analysis of rationality in electric boolean games with LTL objectives. In particular, we report that the problem of deciding whether a profile is a Nash equilibrium in an iterated electric boolean game is no harder than in iterated boolean games without resource bounds. We show that it is a PSPACE-complete problem. As a corollary, we obtain that both rational elimination and rational construction of Nash equilibria by a supervising authority are PSPACE-complete problems.
Keywords
Cite
@article{arxiv.1604.03773,
title = {Rational Verification in Iterated Electric Boolean Games},
author = {Youssouf Oualhadj and Nicolas Troquard},
journal= {arXiv preprint arXiv:1604.03773},
year = {2016}
}
Comments
In Proceedings SR 2016, arXiv:1607.02694