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The complexity of decision problems about equilibria in two-player Boolean games

Abstract:
Boolean games allow us to succinctly represent strategic games with binary payoffs in the case where the players’ preferences have a structure readily expressible in propositional logic. Since their introduction, the computational aspects of Boolean games have been of interest to the multiagent community, but so far the focus has been exclusively on pure strategy equilibria. In this paper we consider the complexity of problems involving mixed strategy equilibria, such as the existence of an equilibrium satisfying a given payoff constraint. The results are obtained by the observation that a mixed strategy can hold enough information to encode the computation history of an exponential time Turing machine.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.artint.2018.04.006

Authors

More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Oxford college:
Merton College
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
Merton College
Role:
Author


Publisher:
Elsevier
Journal:
Artificial Intelligence More from this journal
Volume:
261
Pages:
1-15
Publication date:
2018-05-29
Acceptance date:
2018-04-26
DOI:
EISSN:
1872-7921
ISSN:
0004-3702


Keywords:
Pubs id:
pubs:844713
UUID:
uuid:55d54673-1ded-4092-8a69-ec2c3a6b3b2f
Local pid:
pubs:844713
Source identifiers:
844713
Deposit date:
2018-04-28
ARK identifier:

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