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The interval Shapley value: an axiomatization

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  • S. Alparslan Gök
  • R. Branzei
  • S. Tijs

Abstract

The Shapley value, one of the most widespread concepts in operations Research applications of cooperative game theory, was defined and axiomatically characterized in different game-theoretic models. Recently much research work has been done in order to extend OR models and methods, in particular cooperative game theory, for situations with interval data. This paper focuses on the Shapley value for cooperative games where the set of players is finite and the coalition values are compact intervals of real numbers. The interval Shapley value is characterized with the aid of the properties of additivity, efficiency, symmetry and dummy player, which are straightforward generalizations of the corresponding properties in the classical cooperative game theory. Copyright Springer-Verlag 2010

Suggested Citation

  • 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.
    • Handle: RePEc:spr:cejnor:v:18:y:2010:i:2:p:131-140
    DOI: 10.1007/s10100-009-0096-0
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    References listed on IDEAS

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    Cited by:

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    7. ShinichiIshihara & Junnosuke Shino, 2023. "An AxiomaticAnalysisofIntervalShapleyValues," Working Papers 2214, Waseda University, Faculty of Political Science and Economics.
    8. Rene (J.R.) van den Brink & Osman Palanci & S. Zeynep Alparslan Gok, 2017. "Interval Solutions for Tu-games," Tinbergen Institute Discussion Papers 17-094/II, Tinbergen Institute.
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