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Values for cooperative games with incomplete information: An eloquent example

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  • de Clippel, Geoffroy

Abstract

Myerson's (1984) extension of the lambda-transfer value to cooperative games with incomplete information focus among other things on the strength of the incentive constraints at the solution for determining the power of coalitions. We construct an intuitive three-player game where the player whose only contribution is to partly release the two other players from the incentive constraints they face when they cooperate, receives a zero payoff, according to Myerson's solution. On the contrary, the random order arrival procedure attributes a strictly positive payoff to him. Our example is thus an analog of the banker game of Owen (1972) that was designed for evaluating the lambda-transfer value under complete information. Asymmetric information now takes up the role that was formerly attributed to the lack of transferability of utilities.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 53 (2005)
Issue (Month): 1 (October)
Pages: 73-82

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Handle: RePEc:eee:gamebe:v:53:y:2005:i:1:p:73-82

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
  2. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
  3. FORGES, Françoise & MINELLI, Enrico & VOHRA, Rajiv, 2001. "Incentives and the core of an exchange economy: a survey," CORE Discussion Papers 2001043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Roger B. Myerson, 1982. "Two-Person Bargaining Problems with Incomplete Infonnation," Discussion Papers 527, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Krasa, Stefan & Yannelis, Nicholas C, 1994. "The Value Allocation of an Economy with Differential Information," Econometrica, Econometric Society, vol. 62(4), pages 881-900, July.
  6. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
  7. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November.
  8. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
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Cited by:
  1. Forges, Françoise & Serrano, Roberto, 2013. "Cooperative Games with Incomplete Information : Some Open Problems," Economics Papers from University Paris Dauphine 123456789/8158, Paris Dauphine University.
  2. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.

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