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A New Weight Scheme for the Shapley Value

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Author Info
Guillaume HAERINGER

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Abstract

It is well known since Owen (Manag. Sci. 1968) that the weights in the weighted Shapley value cannot be interpreted as a measure of power (i.e. of the ability to bargain) of the players. This paper proposes a new weight scheme for the Shapley value. Weights in this framework have to be interpreted as a measure of bargaining power. Two different axiomatic characterizations of this new value are proposed: one including the weights in the axioms and one without.

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File URL: http://cournot2.u-strasbg.fr/users/beta/publications/1999/9910.pdf
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Paper provided by Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg in its series Working Papers of BETA with number 9910.

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Date of creation: 1999
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Handle: RePEc:ulp:sbbeta:9910

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

References listed on IDEAS
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  1. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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Cited by:
(explanations, 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. Amandine Ghintran, 2009. "A weighted position value," Working Papers hal-00420430_v1, HAL. [Downloadable!]
  2. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2008. "Dividends and Weighted Values in Games with Externalities," UFAE and IAE Working Papers 758.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
  3. Dinko Dimitrov & Claus-Jochen Haake, 2006. "An axiomatic approach to composite solutions," Working Papers 385, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
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