Graphical potential games

Yakov Babichenko and Omer Tamuz

Journal of Economic Theory, 2016, vol. 163, issue C, 889-899

Abstract: We study the class of potential games that are also graphical games with respect to a given graph G of connections between the players. We show that, up to strategic equivalence, this class of games can be identified with the set of Markov random fields on G. From this characterization, and from the Hammersley–Clifford theorem, it follows that the potentials of such games can be decomposed into local potentials.

Keywords: Potential games; Graphical games (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:163:y:2016:i:c:p:889-899

DOI: 10.1016/j.jet.2016.03.010

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