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Contributions to Game Theory and Management, 2011, Volume 4, Pages 421–432
(Mi cgtm205)
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Cooperative Optimality Concepts for Games with Preference Relations
Tatiana F. Savina Saratov State University, Faculty of Mechanics and Mathematics,
Astrakhanskaya St. 83, Saratov, 410012, Russia
Abstract:
In this paper we consider games with preference relations. The cooperative aspect of a game is connected with its coalitions. The main optimality concepts for such games are concepts of equilibrium and acceptance. We introduce a notion of coalition homomorphism for cooperative games with preference relations and study a problem concerning connections between equilibrium points (acceptable outcomes) of games which are in a homomorphic relation. The main results of our work are connected with finding of covariant and contrvariant homomorphisms.
Keywords:
Nash equilibrium, Equilibrium, Acceptable outcome, Coalition homomorphism.
Citation:
Tatiana F. Savina, “Cooperative Optimality Concepts for Games with Preference Relations”, Contributions to Game Theory and Management, 4 (2011), 421–432
Linking options:
https://www.mathnet.ru/eng/cgtm205 https://www.mathnet.ru/eng/cgtm/v4/p421
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