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On three Shapley-like solutions for cooperative games with random payoffs

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Author Info
Timmer, J.
Borm, P.
Tijs, S. (Tilburg University, Center for Economic Research)

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Abstract

Three solution concepts for cooperative games with random payoffs are introduced. These are the marginal value, the dividend value and the selector value. Inspiration for their definitions comes from several equivalent formulations of the Shapley value for cooperative TU games. An example shows that these solutionscan all be different for cooperative games with random payoffs. Properties are studied and two characterizations on subclasses of games are provided.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 73.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:200073

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Related research
Keywords: 90D12;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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. Suijs, J., 1996. "A nucleolus for stochastic cooperative games," Discussion Paper 90, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer, vol. 29(1), pages 23-38. [Downloadable!] (restricted)
  3. Timmer, J. & Borm, P. & Tijs, S., 2000. "Convexity in stochastic cooperative situations," Discussion Paper 4, Tilburg University, Center for Economic Research. [Downloadable!]
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  4. Roger B. Myerson, 1978. "Conference Structures and Fair Allocation Rules," Discussion Papers 363, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  5. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May. [Downloadable!] (restricted)
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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. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 1-41, July. [Downloadable!] (restricted)
  2. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, Economics Bulletin, vol. 3(9), pages 1-8. [Downloadable!]
  3. Voorneveld, Mark & Grahn, Sofia, 2001. "A Minimal Test for Convex Games and the Shapley Value," Working Paper Series 2001:2, Uppsala University, Department of Economics. [Downloadable!]
    Other versions:
  4. D. Bauso & J. Timmer, 2009. "Robust dynamic cooperative games," International Journal of Game Theory, Springer, vol. 38(1), pages 23-36, March. [Downloadable!] (restricted)
  5. Timmer, J., 2000. "The compromise value for cooperative games with random payoffs," Discussion Paper 98, Tilburg University, Center for Economic Research. [Downloadable!]
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