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The Stable Set and Weak Stable Set For -person Repeated Fuzzy Cooperative Games

Author

Listed:
  • Zuofeng Gao
  • Suting Zhang
  • Hongxin Bai
  • Chunyan Han
  • Sheng Zhao

Abstract

In this paper,based on the fuzzy games,we define the imputation sequences of the -person repeated games,and the domination,weak domination for the imputation sequences.Further,based on this theory,we define the core ,the weak core,the stable set,and the weak stable set of the -person repeated fuzzy cooperative games.At last,some properties of the stable set and the weak stable set are given.

Suggested Citation

  • Zuofeng Gao & Suting Zhang & Hongxin Bai & Chunyan Han & Sheng Zhao, 2008. "The Stable Set and Weak Stable Set For -person Repeated Fuzzy Cooperative Games," Modern Applied Science, Canadian Center of Science and Education, vol. 2(2), pages 1-97, March.
    • Handle: RePEc:ibn:masjnl:v:2:y:2008:i:2:p:97
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    References listed on IDEAS

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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. 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.
    3. Jean-Pierre Aubin, 1981. "Cooperative Fuzzy Games," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 1-13, February.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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