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The consensus value for games in partition function form

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Author Info
Ju, Y. (Tilburg University, Center for Economic Research)

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Abstract

This paper studies a generalization of the consensus value (cf. Ju, Borm and Ruys (2004)) to the class of partition function form games. The concepts and axioms, related to the consensus value, are extended. This value is characterized as the unique function that satisfies efficiency, complete symmetry, the quasi null player property and additivity. By means of the transfer property, a second characterization is provided. Moreover, it is shown that this value satisfies the individual rationality under a certain condition, and well balances the trade-o. between coalition effects and externality effects. By modifying the stand-alone reduced game, a recursive formula for the value is established. A further generalization of the consensus value is discussed. Finally, two applications of the consensus value are given: one is for oligopoly games in partition function form and the other is about participation incentives in free-rider situations.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 60.

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Date of creation: 2004
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Handle: RePEc:dgr:kubcen:200460

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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
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D62 - Microeconomics - - Welfare Economics - - - Externalities

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  1. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The consensus value : a new solution concept for cooperative games," Discussion Paper 50, Tilburg University, Center for Economic Research. [Downloadable!]
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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.
  3. Pham Do, K.H. & Norde, H., 2002. "The Shapley value for partition function form games," Discussion Paper 4, Tilburg University, Center for Economic Research. [Downloadable!]
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(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. 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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  2. 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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  3. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer, vol. 28(4), pages 685-703, June. [Downloadable!] (restricted)
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  4. 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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This page was last updated on 2009-10-29.

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