The stable set of the social conflict game with commitments: existence, uniqueness, and efficiency

Toshiyuki Hirai ()
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Toshiyuki Hirai: University of Toyama

International Journal of Game Theory, 2017, vol. 46, issue 1, No 8, 149-166

Abstract: Abstract We investigate the stable sets of social conflict games by employing the framework of the (abstract) system by Greenberg (Theory of social situations: an alternative game theoretic approach. Cambridge University Press, Cambridge, 1990). The social conflict game is a class of strategic games that includes the prisoners’ dilemma and the chicken game. We first show that the stable set generally fails to exist in a system that is directly derived from the social conflict game. In this system, the stable set exists if and only if the strong equilibrium exists in the underlying game. If the stable set exists, it coincides with the set of the strong equilibria that is equivalent to the core for the system. Then, we turn to a modified system where the players are allowed to make commitments. In the system with commitments, the stable set always exists, and it consists of efficient outcomes with a certain property. We also discuss the relationship between the core and the stable set for the system with commitments.

Keywords: Social conflict game; (abstract) system; Theory of social situations; Stable set; Commitment (search for similar items in EconPapers)
JEL-codes: C71 D74 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00182-016-0527-9

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