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A new axiomatization of the Shapley value under interval uncertainty

  • Yan-an Hwang


    (Department of Applied Mathematics, National Dong Hwa University)

  • Ming-chuan Chen


    (Department of Applied Mathematics, National Dong Hwa University)

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    In the framework of interval games, we show that the Shapley value is the unique solution satisfying efficiency, symmetry and coalitional strategic equivalence.

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    Article provided by AccessEcon in its journal Economics Bulletin.

    Volume (Year): 32 (2012)
    Issue (Month): 1 ()
    Pages: 799-810

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    Handle: RePEc:ebl:ecbull:eb-11-00408
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    1. Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    2. Brânzei, R. & Dimitrov, D.A. & Pickl, S. & Tijs, S.H., 2004. "How to cope with division problems under interval uncertainty of claims?," Other publications TiSEM ded4eab4-b710-424b-a2cc-5, Tilburg University, School of Economics and Management.
    3. 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.
    4. S. Alparslan-Gök & Silvia Miquel & Stef Tijs, 2009. "Cooperation under interval uncertainty," Mathematical Methods of Operations Research, Springer, vol. 69(1), pages 99-109, March.
    5. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Discussion Paper 2008-17, Tilburg University, Center for Economic Research.
    6. R. Branzei & O. Branzei & S. Alparslan Gök & S. Tijs, 2010. "Cooperative interval games: a survey," Central European Journal of Operations Research, Springer, vol. 18(3), pages 397-411, September.
    7. S. Alparslan Gök & R. Branzei & S. Tijs, 2010. "The interval Shapley value: an axiomatization," Central European Journal of Operations Research, Springer, vol. 18(2), pages 131-140, June.
    8. repec:spr:compst:v:69:y:2009:i:1:p:99-109 is not listed on IDEAS
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