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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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Suggested Citation

  • Yoshio Kamijo & Takumi Kongo, 2010. "Axiomatization of the Shapley value using the balanced cycle contributions property," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 563-571, October.
  • Handle: RePEc:spr:jogath:v:39:y:2010:i:4:p:563-571
    DOI: 10.1007/s00182-009-0187-0
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    References listed on IDEAS

    as
    1. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    2. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    Full references (including those not matched with items on IDEAS)

    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. repec:eee:ecolet:v:167:y:2018:i:c:p:48-50 is not listed on IDEAS
    3. repec:eee:gamebe:v:108:y:2018:i:c:p:125-129 is not listed on IDEAS
    4. 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.
    5. Koji Yokote, 2015. "Weak addition invariance and axiomatization of the weighted Shapley value," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 275-293, May.
    6. Yoshio Kamijo & Takumi Kongo, 2015. "Properties based on relative contributions for cooperative games with transferable utilities," Theory and Decision, Springer, vol. 78(1), pages 77-87, January.
    7. repec:eee:gamebe:v:108:y:2018:i:c:p:113-124 is not listed on IDEAS
    8. Casajus, André, 2014. "The Shapley value without efficiency and additivity," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 1-4.
    9. 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.
    10. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2016. "Axiomatic characterizations under players nullification," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 47-57.
    11. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.

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