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The Shapley value for partition function form games

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Author Info
Pham Do, K.H.
Norde, H. (Tilburg University, Center for Economic Research)

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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.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 4.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:20024

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Find related papers by JEL classification:
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

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  1. 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. [Downloadable!] (restricted)
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  2. 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.
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  1. Ju, Y., 2004. "The consensus value for games in partition function form," Discussion Paper 60, Tilburg University, Center for Economic Research. [Downloadable!]
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  2. Ju, Yuan & Borm, Peter, 2006. "A non-cooperative approach to the compensation rules for primeval games," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
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  3. McQuillin, Ben, 2008. "The extended and generalized Shapley value: Simultaneous consideration of coalitional externalities and coalitional structure," MPRA Paper 12049, University Library of Munich, Germany. [Downloadable!]
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  4. Geoffroy de Clippel & Roberto Serrano, 2007. "Marginal contributions and externalities in the value," Working Papers 2007-04, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales. [Downloadable!]
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  5. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University. [Downloadable!]
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  6. Ju, Yuan & Borm, Peter, 2005. "Externalities and compensation: primeval games and solutions," Discussion Paper 71, Tilburg University, Center for Economic Research. [Downloadable!]
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  7. 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!]
  8. Fukuda, E. & Tijs, S.H. & Branzei, R. & Muto, S., 2002. "Compromising in partition function form games and cooperation in perfect extensive form games," Discussion Paper 117, Tilburg University, Center for Economic Research. [Downloadable!]
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