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Contributions to Game Theory and Management, 2014, Volume 7, Pages 271–281
(Mi cgtm238)
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This article is cited in 8 scientific papers (total in 8 papers)
Stable cooperation in graph-restricted games
Elena Parilina, Artem Sedakov Saint Petersburg State University, Faculty of Applied Mathematics and Control Processes, Universitetsky prospekt 35, Saint Petersburg, 198504, Russia
Abstract:
In the paper we study stable coalition structures in the games with restrictions on players' cooperation and communication. Restriction on cooperation among players is given by a coalition structure, whereas restriction on their communication is described by a graph. Having both a coalition structure and a graph fixed, a payoff distribution can be calculated based on worth of each coalition of players. We use the concept of stability for a coalition structure similar to Nash stability, assuming that the graph structure is fixed. The results are illustrated with examples.
Keywords:
cooperation, coalition structure, graph, characteristic function, stability, Shapley value, Myerson value, ES-value.
Citation:
Elena Parilina, Artem Sedakov, “Stable cooperation in graph-restricted games”, Contributions to Game Theory and Management, 7 (2014), 271–281
Linking options:
https://www.mathnet.ru/eng/cgtm238 https://www.mathnet.ru/eng/cgtm/v7/p271
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Abstract page: | 626 | Full-text PDF : | 217 | References: | 73 |
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