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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:
    1. Ping Sun, “Existence of stable coalition structures in three-player games with graph-constrained solution”, Contributions to Game Theory and Management, 15 (2022), 226–235  mathnet  crossref  mathscinet
    2. Vladimir V. Mazalov, Yulia A. Dorofeeva, Elena M. Parilina, “Opinion control in a team with complete and incomplete communication”, Contributions to Game Theory and Management, 13 (2020), 324–334  mathnet
    3. Fengyan Sun, Elena M. Parilina, Hongwei Gao, “Individual stability of coalition structures in three-person games”, Autom. Remote Control, 82:6 (2021), 1083–1094  mathnet  crossref
    4. Artem A. Sedakov, Vitalii A. Sorokin, “Resheniya kooperativnykh igr s glavnym igrokom i ierarkhicheskoi strukturoi”, MTIP, 11:3 (2019), 77–94  mathnet
    5. V. V. Mazalov, Yu. A. Dorofeeva, E. N. Konovalchikova, “Modelirovanie vliyaniya sredi uchastnikov obrazovatelnogo kollektiva”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 15:2 (2019), 259–273  mathnet  crossref  elib
    6. Fengyan Sun, Elena Parilina, “Existence of stable coalition structures in four-person games”, Contributions to Game Theory and Management, 11 (2018), 224–248  mathnet
    7. Svetlana Tarashnina, Nadezhda Smirnova, “Constructive and blocking powers in some applications”, Contributions to Game Theory and Management, 10 (2017), 339–349  mathnet  mathscinet
    8. V. M. Bure, E. M. Parilina, A. A. Sedakov, “Consensus in a social network with two principals”, Automation and Remote Control, 78:8 (2017), 1489–1499  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:683
    Full-text PDF :225
    References:82
     
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