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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, December.
    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. 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.
    2. 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.
    3. Neog, Rupok & Borkotokey, Surajit, 2011. "Dynamic resource allocation in fuzzy coalitions : a game theoretic model," MPRA Paper 40074, University Library of Munich, Germany.
    4. Shellshear, Evan, 2011. "Characterizing core stability with fuzzy games," Center for Mathematical Economics Working Papers 410, Center for Mathematical Economics, Bielefeld University.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

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    Keywords

    Fuzzy games; Core; Convex games;
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