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Axiomatization of the Shapley value using the balanced cycle contributions property

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  • Yoshio Kamijo

    ()

  • Takumi Kongo

    ()

Abstract

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File URL: http://hdl.handle.net/10.1007/s00182-009-0187-0
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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 39 (2010)
Issue (Month): 4 (October)
Pages: 563-571

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Handle: RePEc:spr:jogath:v:39:y:2010:i:4:p:563-571

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Related research

Keywords: Axiomatization; Balanced cycle contributions property; Shapley value;

References

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  1. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
  2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
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Citations

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Cited by:
  1. Casajus, André & Huettner, Frank, 2014. "On a class of solidarity values," European Journal of Operational Research, Elsevier, vol. 236(2), pages 583-591.
  2. Casajus, André & Huettner, Frank, 2014. "Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value," Economics Letters, Elsevier, vol. 122(2), pages 167-169.
  3. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
  4. Casajus, André, 2014. "The Shapley value without efficiency and additivity," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 1-4.
  5. Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "Preserving or removing special players: what keeps your payoff unchanged in TU-games?," Working Papers 2013-09, CRESE.

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