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A new axiomatization of the Shapley value under interval uncertainty

Author

Listed:
  • Yan-an Hwang

    () (Department of Applied Mathematics, National Dong Hwa University)

  • Ming-chuan Chen

    () (Department of Applied Mathematics, National Dong Hwa University)

Abstract

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

Suggested Citation

  • Yan-an Hwang & Ming-chuan Chen, 2012. "A new axiomatization of the Shapley value under interval uncertainty," Economics Bulletin, AccessEcon, vol. 32(1), pages 799-810.
  • Handle: RePEc:ebl:ecbull:eb-11-00408
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2012/Volume32/EB-12-V32-I1-P74.pdf
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    References listed on IDEAS

    as
    1. Brânzei, R. & Dimitrov, D.A. & Pickl, S. & Tijs, S.H., 2002. "How to Cope with Division Problems under Interval Uncertainty of Claims?," Discussion Paper 2002-96, Tilburg University, Center for Economic Research.
    2. S. Alparslan-Gök & Silvia Miquel & Stef Tijs, 2009. "Cooperation under interval uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(1), pages 99-109, March.
    3. R. Branzei & O. Branzei & S. Alparslan Gök & S. Tijs, 2010. "Cooperative interval games: a survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(3), pages 397-411, September.
    4. Branzei,R. & Dimitrov,D. & Tijs,S., 2002. "Convex fuzzy games and participation monotonic allocation schemes," Center for Mathematical Economics Working Papers 332, Center for Mathematical Economics, Bielefeld University.
    5. Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    6. repec:spr:compst:v:69:y:2009:i:1:p:99-109 is not listed on IDEAS
    7. 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.
    8. S. Alparslan Gök & R. Branzei & S. Tijs, 2010. "The interval Shapley value: an axiomatization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(2), pages 131-140, June.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Shapley value; interval game;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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