New Axiomatizations and an Implementation of the Shapley Value
CentER Discussion Paper Series No. 2007-90
14 Pages Posted: 4 Dec 2007
Date Written: November 2007
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.
Keywords: Shapley value, axiomatization, implementation
JEL Classification: C71, C72
Suggested Citation: Suggested Citation
Kongo, Takumi and Funaki, Yukihiko and Tijs, Stef H., New Axiomatizations and an Implementation of the Shapley Value (November 2007). CentER Discussion Paper Series No. 2007-90, Available at SSRN: https://ssrn.com/abstract=1047582 or http://dx.doi.org/10.2139/ssrn.1047582
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