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The Shapley Value For Partition Function Form Games

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Author Info
KIM HANG PHAM DO (Department of Applied and International Economics, Massey University, Private Bag 11 222, Palmerston North, New Zealand)
HENK NORDE () (Department of Econometrics and Operations Research, and CentER, Tilburg University, P. O. Box 90513, 5000 LE Tilburg, The Netherlands)

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Abstract

Different axiomatizations of the Shapley value for TU games can be found in the literature. The Shapley value has been generalized in several ways to the class of games in partition function form. In this paper we discuss another generalization of the Shapley value and provide a characterization.

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Publisher Info
Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 09 (2007)
Issue (Month): 02 ()
Pages: 353-360
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Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:02:p:353-360

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Related research
Keywords: Partition function form game; Shapley value;

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Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C0 - Mathematical and Quantitative Methods - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D7 - Microeconomics - - Analysis of Collective Decision-Making
M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  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)
    Other versions:
  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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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Yuan Ju & Peter Borm, 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Keele Economics Research Papers KERP 2006/18, Centre for Economic Research, Keele University. [Downloadable!]
    Other versions:
  2. Ju, Y., 2004. "The consensus value for games in partition function form," Discussion Paper 60, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  3. Ju, Yuan & Borm, Peter, 2005. "Externalities and compensation: primeval games and solutions," Discussion Paper 71, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  4. Geoffroy de Clippel & Roberto Serrano, 2005. "Marginal Contributions and Externalities in the Value," Working Papers 2005-11, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  5. 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!]
    Other versions:
  6. 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!]
  7. Ju, Yuan & Wettstein, David, 2006. "Implementing cooperative solution concepts : a generalized bidding approach," Discussion Paper 42, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  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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