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On some families of cooperative fuzzy games

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  • Yaron Azrieli
  • Ehud Lehrer

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  • Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 1-15, September.
    • Handle: RePEc:spr:jogath:v:36:y:2007:i:1:p:1-15
    DOI: 10.1007/s00182-007-0093-2
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    1. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Convex Fuzzy Games and Participation Monotonic Allocation Schemes," Discussion Paper 2002-13, Tilburg University, Center for Economic Research.
    2. Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March.
    3. Sharkey, William W. & Telser, Lester G., 1978. "Supportable cost functions for the multiproduct firm," Journal of Economic Theory, Elsevier, vol. 18(1), pages 23-37, June.
    4. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2008. "Models in Cooperative Game Theory," Springer Books, Springer, edition 0, number 978-3-540-77954-4, September.
    5. Yaron Azrieli & Ehud Lehrer, 2007. "Market Games in Large Economies with a Finite Number of Types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 327-342, May.
    6. Biswas, A. K. & Parthasarathy, T. & Potters, J. A. M. & Voorneveld, M., 1999. "Large Cores and Exactness," Games and Economic Behavior, Elsevier, vol. 28(1), pages 1-12, July.
    7. Tijs, S.H. & Brânzei, R., 2004. "Various characterizations of convex fuzzy games," Other publications TiSEM 065d1a5e-b3be-4887-b6d4-d, Tilburg University, School of Economics and Management.
    8. Yaron Azrieli & Ehud Lehrer, 2007. "Extendable Cooperative Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 1069-1078, December.
    9. Branzei, R. & Tijs, S.H., 2003. "On convex fuzzy games," Other publications TiSEM b53ebd70-807d-46cf-a854-f, Tilburg University, School of Economics and Management.
    10. Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2004. "On cores and stable sets for fuzzy games," Other publications TiSEM 66dd20be-cb4b-4b6d-937e-0, Tilburg University, School of Economics and Management.
    11. Stef Tijs & Rodica Brânzei, 2004. "Various characterizations of convex fuzzy games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 399-408, December.
    12. Lloyd S. Shapley, 1967. "On balanced sets and cores," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(4), pages 453-460.
    13. Aubin, Jean-Pierre, 1981. "Locally lipschitz cooperative games," Journal of Mathematical Economics, Elsevier, vol. 8(3), pages 241-262, October.
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    Cited by:

    1. Shellshear, Evan, 2011. "Characterizing core stability with fuzzy games," Center for Mathematical Economics Working Papers 410, Center for Mathematical Economics, Bielefeld University.
    2. Surajit Borkotokey & Rupok Neog, 2012. "Allocating Profit Among Rational Players in a Fuzzy Coalition: A Game Theoretic Model," Group Decision and Negotiation, Springer, vol. 21(4), pages 439-459, July.
    3. Hsien-Chung Wu, 2019. "Cores and dominance cores of cooperative games endowed with fuzzy payoffs," Fuzzy Optimization and Decision Making, Springer, vol. 18(2), pages 219-257, June.
    4. Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    5. Wenbo Yang & Jiuqiang Liu & Xiaodong Liu, 2011. "Aubin cores and bargaining sets for convex cooperative fuzzy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 467-479, August.
    6. Liu, Jiuqiang & Liu, Xiaodong, 2013. "A necessary and sufficient condition for an NTU fuzzy game to have a non-empty fuzzy core," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 150-156.
    7. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.
    8. Neog, Rupok & Borkotokey, Surajit, 2011. "Dynamic resource allocation in fuzzy coalitions : a game theoretic model," MPRA Paper 40074, University Library of Munich, Germany.

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    Keywords

    Fuzzy games; Core; Convex games;
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