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Efficiency in Uncertain Cooperative Games

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Author Info

  • BOSSERT, Walter
  • DERKS, Jean
  • PETERS, Hans

Abstract

A contingent contract in a transferable utility game under uncertainty specifies an outcome for each possible state. It is assumed that coalitions evaluate these contracts by considering the minimal possible excesses. A main question of the paper concerns the existence and characterization of efficient contracts. It is shown that they exist if and only if the set of possible coalitions contains a balanced subset. Moreover, a characterization of values that result in efficient contracts in the case of minimally balanced collections is provided.

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File URL: http://hdl.handle.net/1866/354
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2001-14.

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Length: 13 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mtl:montde:2001-14

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Related research

Keywords: transferable utility games; uncertainty; balanced collections;

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References

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  1. Walter Bossert & Hans Peters, . "Minimax Regret and Efficient Bargaining under Uncertainty," Discussion Papers 98/8, University of Nottingham, School of Economics.
  2. Bossert, Walter & Nosal, Ed & Sadanand, Venkatraman, 1996. "Bargaining under Uncertainty and the Monotone Path Solutions," Games and Economic Behavior, Elsevier, vol. 14(2), pages 173-189, June.
  3. Hans Peters & Walter Bossert, 2002. "Efficient solutions to bargaining problems with uncertain disagreement points," Social Choice and Welfare, Springer, vol. 19(3), pages 489-502.
  4. Derks, Jean & Peters, Hans, 1998. "Orderings, excess functions, and the nucleolus," Mathematical Social Sciences, Elsevier, vol. 36(2), pages 175-182, September.
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Cited by:
  1. Habis, Helga & Herings, P. Jean-Jacques, 2011. "Transferable utility games with uncertainty," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2126-2139, September.
  2. Derks, Jean & Peters, Hans & Sudhölter, Peter, 2012. "On extensions of the core and the anticore of transferable utility games," Discussion Papers of Business and Economics 4/2012, Department of Business and Economics, University of Southern Denmark.

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