The Shapley Value for Partition Function Form Games

CentER Discussion Paper No. 2002-04

13 Pages Posted: 26 Mar 2011

See all articles by Kim Hang Pham Do

Kim Hang Pham Do

Massey University

Henk Norde

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research

Date Written: January 2002

Abstract

Different axiomatic systems for the Shapley value can be found in the literature. For games with a coalition structure, the Shapley value also has been axiomatized in several ways. In this paper, we discuss a generalization of the Shapley value to the class of partition function form games. The concepts and axioms, related to the Shapley value, have been extended and a characterization for the Shapley value has been provided. Finally, an application of the Shapley value is given.

Keywords: partition function form game, coalition structure, Shapley value

JEL Classification: C71, C72

Suggested Citation

Pham Do, Kim Hang and Norde, Henk W., The Shapley Value for Partition Function Form Games (January 2002). CentER Discussion Paper No. 2002-04. Available at SSRN: https://ssrn.com/abstract=1536423 or http://dx.doi.org/10.2139/ssrn.1536423

Kim Hang Pham Do (Contact Author)

Massey University ( email )

College of Business
School of Economics and Finance
Palmerston North, Manawatu PN 342
New Zealand
+64 6 3505799, ext. 84056 (Phone)
+64 6 3505660 (Fax)

HOME PAGE: http://www.massey.ac.nz/massey/expertise/profile.cfm?stref=705830

Henk W. Norde

Tilburg University - Center For Economic Research ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 466 3245 (Phone)

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

Tilburg, 5000 LE
Netherlands

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