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New Axiomatizations and an Implementation of the Shapley Value

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Author Info
Kongo, T.
Funaki, Y.
Tijs, S.H. (Tilburg University, Center for Economic Research)
Abstract

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-90.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200790

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Neyman, Abraham, 1989. "Uniqueness of the Shapley value," Games and Economic Behavior, Elsevier, vol. 1(1), pages 116-118, March. [Downloadable!] (restricted)
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  2. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August. [Downloadable!] (restricted)
  3. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
  4. Gérard Hamiache, 2001. "Associated consistency and Shapley value," International Journal of Game Theory, Springer, vol. 30(2), pages 279-289. [Downloadable!] (restricted)
  5. Chun, Youngsub, 1989. "A new axiomatization of the shapley value," Games and Economic Behavior, Elsevier, vol. 1(2), pages 119-130, June. [Downloadable!] (restricted)
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