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Contributions to Game Theory and Management, 2014, Volume 7, Pages 271–281 (Mi cgtm238)  

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
Full-text PDF (280 kB) Citations (8)
References:
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.
Document Type: Article
Language: English
Citation: Elena Parilina, Artem Sedakov, “Stable cooperation in graph-restricted games”, Contributions to Game Theory and Management, 7 (2014), 271–281
Citation in format AMSBIB
\Bibitem{ParSed14}
\by Elena~Parilina, Artem~Sedakov
\paper Stable cooperation in graph-restricted games
\jour Contributions to Game Theory and Management
\yr 2014
\vol 7
\pages 271--281
\mathnet{http://mi.mathnet.ru/cgtm238}
Linking options:
  • https://www.mathnet.ru/eng/cgtm238
  • https://www.mathnet.ru/eng/cgtm/v7/p271
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:626
    Full-text PDF :217
    References:73
     
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