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On the set of Lorenz-maximal imputations in the core of a balanced game

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Author Info
Jens Leth Hougaard () (Institute of Economics, University of Copenhagen, Studiestraede 6, 1455 Copenhagen K., Denmark.)
Lars Thorlund-Petersen (Copenhagen Business School, Department of Operations Management, Solbjerg Pl. 3, 2000 Frederiskberg, DENMARK)
Bezalel Peleg (Hebrew University Jerusalem, Center Rationality, Interaction, Decision Theory, Givat-Ram, Feldman Building, 91 904 Jerusalem, ISRAEL)

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Abstract

This paper considers the set of Lorenz-maximal imputations in the core of a balanced cooperative game as a solution concept. It is shown that the Lorenz-solution concept satisfies a number of suitable properties such as desirability, continuity and the reduced game property. Moreover, the paper consideres alternative characterizations where it is shown that Lorenz-fairness is tantamount to the existence of an additive, strictly increasing and concave social welfare function. Finally the paper also provides axiomatic characterizations as well as two examples of application.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 30 (2001)
Issue (Month): 2 ()
Pages: 147-165
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Handle: RePEc:spr:jogath:v:30:y:2001:i:2:p:147-165

Note: Received: February 1999/Final version: June 2001
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Related research
Keywords: Balanced games · the core · Lorenz-maximal imputations.;

Cited by:
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  1. Branzei, R. & Dimitrov, D. & Tijs, S., 2002. "Egalitarianism in convex fuzzy games," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Branzei, R. & Dimitrov, D. & Tijs, S.H., 2004. "The equal split-off set for cooperative games," Discussion Paper 110, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Jens Leth Hougaard & Hans Keiding & Lars P. Østerdal, 2002. "Monotonicity of Social Optima With Respect to Participation Constraints," Discussion Papers 03-02, University of Copenhagen. Department of Economics. [Downloadable!]
  4. Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2008. "An axiomatic approach to egalitarianism in TU-games," International Journal of Game Theory, Springer, vol. 37(4), pages 565-580, December. [Downloadable!] (restricted)
  5. Branzei, R. & Llorca, N. & Sanchez-Soriano, J. & Tijs, S.H., 2007. "Egalitarianism in Multi-Choice Games," Discussion Paper 2007-55, Tilburg University, Center for Economic Research. [Downloadable!]
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