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Condorcet domains and distributive lattices

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Author Info
Bernard Monjardet () (Centre d'Economie de la Sorbonne)

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Abstract

Condorcet domains are sets of linear orders where Condorcet's effect can never occur. Works of Abello, Chameni-Nembua, Fishburn and Galambos and Reiner have allowed a strong understanding of a significant class of Condorcet domains which are distributive lattices -in fact covering distributive sublattices of the permutoèdre lattice- and which can be obtained from a maximal chain of this lattice. We describe this class and we study three particular types of such Condorcet domains.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/B06072.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06072.

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Length: 19 pages
Date of creation: Nov 2006
Date of revision:
Handle: RePEc:mse:wpsorb:b06072

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Related research
Keywords: Acyclic set; alternating scheme; Condorcet effect; distributive lattice; maximal chain of permutations; permutoèdre lattice.;

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  1. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754.
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This page was last updated on 2009-11-16.


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