New Axiomatizations and an Implementation of the Shapley Value

CentER Discussion Paper Series No. 2007-90

14 Pages Posted: 4 Dec 2007

See all articles by Takumi Kongo

Takumi Kongo

Waseda University - Graduate School of Economics

Yukihiko Funaki

Waseda University, School of Political Science and Economics

Stef H. Tijs

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research; Università degli Studi di Genova - Dipartimento di Matematica

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

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

Takumi Kongo (Contact Author)

Waseda University - Graduate School of Economics ( email )

1-6-1 Nishi-waseda, Shinjuku-ku
Tokyo
Japan

Yukihiko Funaki

Waseda University, School of Political Science and Economics ( email )

1-6-1 Nishi-Waseda
Shinjuku-ku, Tokyo 169-8050, Tokyo 169-8050
Japan

Stef H. Tijs

Tilburg University - Center For Economic Research ( email )

P.O. Box 90153
B925
5000 LE Tilburg
Netherlands
+31 13 466 2348 (Phone)

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Università degli Studi di Genova - Dipartimento di Matematica

Via Dodecaneso 35
16146 Genoa
Italy

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