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The Consensus Value For Games In Partition Function Form

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  • YUAN JU

    ()
    (School of Economic and Management Studies, Keele University, Keele, Staffordshire, ST5 5BG, United Kingdom)

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Abstract

This paper studies a procedural and axiomatic extension of the consensus value [cf. Ju et al. (2007)] to the class of partition function form games. 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 the consensus value satisfies individual rationality under a superadditivity condition, and well balances the tradeoff between coalitional effects and externality effects. In this respect, explicit differences with other solution concepts are indicated.

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Bibliographic Info

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

Volume (Year): 09 (2007)
Issue (Month): 03 ()
Pages: 437-452

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Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:03:p:437-452

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Related research

Keywords: Partition function form games; externality; Shapley value; consensus value; JEL Codes: C71; JEL Codes: D62; 91A06; 91A12;

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  1. 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.
  2. 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.
  3. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007. "The consensus value: A new solution concept for cooperative games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-195202, Tilburg University.
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Cited by:
  1. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The Consensus Value: A New Solution Concept for Cooperative Games," Discussion Paper 2004-50, Tilburg University, Center for Economic Research.
  2. Ju, Y. & Borm, P.E.M., 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Discussion Paper 2006-97, Tilburg University, Center for Economic Research.
  3. Yuan Ju & Peter Borm, 2005. "Externalities and Compensation:Primeval Games and Solutions," Keele Economics Research Papers KERP 2005/05, Centre for Economic Research, Keele University.
  4. Ju, Y. & Wettstein, D., 2006. "Implementing Cooperative Solution Concepts: A Generalized Bidding Approach," Discussion Paper 2006-42, Tilburg University, Center for Economic Research.

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