The Shapley Value for Partition Function Form Games
AbstractDifferent 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.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2002-4.
Date of creation: 2002
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Web page: http://center.uvt.nl
Other versions of this item:
- Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-03-14 (All new papers)
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- Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
- Jingang Zhao, 1999.
"A Characterization of the Negative Welfare Effects of Cost Reduction in Cournot Oligopoly,"
99-06, Ohio State University, Department of Economics.
- Zhao, Jingang, 2001. "A characterization for the negative welfare effects of cost reduction in Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 455-469, March.
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