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The lattice structure of the S-Lorenz core

Listed author(s):
  • Vincent Iehlé

    ()

For any TU game and any ranking of players, the set of all preimputations compatible with the ranking, equipped with the Lorenz order, is a bounded join semi-lattice. Furthermore, the set admits as sublattice the S-Lorenz core intersected with the region compatible with the ranking. This result uncovers a new property about the structure of the S-Lorenz core. As immediate corollaries, we obtain complementary results to the findings of Dutta and Ray (Games Econ Behav, 3(4):403–422, 1991 ), by showing that any S-constrained egalitarian allocation is the (unique) Lorenz greatest element of the S-Lorenz core on the rank-preserving region the allocation belongs to. Besides, our results suggest that the comparison between W- and S-constrained egalitarian allocations is more puzzling than what is usually admitted in the literature. Copyright Springer Science+Business Media New York 2015

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File URL: http://hdl.handle.net/10.1007/s11238-014-9415-6
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Article provided by Springer in its journal Theory and Decision.

Volume (Year): 78 (2015)
Issue (Month): 1 (January)
Pages: 141-151

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Handle: RePEc:kap:theord:v:78:y:2015:i:1:p:141-151
DOI: 10.1007/s11238-014-9415-6
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Order Information: Web: http://www.springer.com/economics/economic+theory/journal/11238/PS2

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  1. Jens Leth Hougaard & Lars Thorlund-Petersen & Bezalel Peleg, 2001. "On the set of Lorenz-maximal imputations in the core of a balanced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 147-165.
  2. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
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  4. V. Feltkamp & Javier Arin, 2002. "Lorenz undominated allocations for TU-games: The weighted Coalitional Lorenz Solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 869-884.
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  7. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-635, May.
  8. Jean-Yves Jaffray & Philippe Mongin, 2003. "Constrained egalitarianism in a simple redistributive model," Theory and Decision, Springer, vol. 54(1), pages 33-56, February.
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  12. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
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  14. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 1-13.
  15. repec:hal:journl:halshs-00690696 is not listed on IDEAS
  16. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
  17. Ashish Goel & Adam Meyerson & Thomas Weber, 2009. "Fair welfare maximization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(3), pages 465-494, December.
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