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The lattice structure of the S-Lorenz core

  • Iehlé, Vincent

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.

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Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/11604.

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Date of creation: 2015
Date of revision:
Publication status: Published in Theory and Decision, 2015, Vol. 78, no. 1. pp. 141-151.Length: 10 pages
Handle: RePEc:dau:papers:123456789/11604
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  1. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Pairwise Kidney Exchange," Game Theory and Information 0408001, EconWPA, revised 16 Feb 2005.
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  19. repec:hal:journl:halshs-00690696 is not listed on IDEAS
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