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Mutual support in games: Some properties of Berge equilibria

A.M. Colman, T.W. Körner, Olivier Musy and Tarik Tazdaït
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A.M. Colman: Department of Psychology [Leicester] - University of Leicester
T.W. Körner: DPMMS - Department of Pure Mathematics and Mathematical Statistics - CMS - Faculty of mathematics Centre for Mathematical Sciences [Cambridge] - CAM - University of Cambridge [UK]

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Abstract: The Berge equilibrium concept formalizes mutual support among players motivated by the altruistic social value orientation in games. We prove some basic results for Berge equilibria and their relations to Nash equilibria, and we provide a straightforward method for finding Berge equilibria in n-player games. We explore some specific examples, and we explain how the Berge equilibrium provides a compelling model of cooperation in social dilemmas. We show that the Berge equilibrium also explains coordination in some common interest games and is partially successful in explaining the payoff dominance phenomenon, and we comment that the theory of team reasoning provides alternative solutions to these problems. © 2011 Elsevier Inc.

Date: 2011
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Published in Journal of Mathematical Psychology, Elsevier, 2011, 55 (2), pp.166-175. ⟨10.1016/⟩

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DOI: 10.1016/

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