Condorcet domains and distributive lattices

Bernard Monjardet

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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.

Keywords: permutoèdre lattice; distributive lattice; maximal chain of permutations; alternating scheme; Acyclic set; Condorcet effect; treillis distributif; chaîne maximale de permutations; relation majoritaire treillis permutoèdre; effet Condorcet; Ensemble restreint de permutations (search for similar items in EconPapers)
Date: 2006-11
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00119141
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Published in 2006

Downloads: (external link)
https://shs.hal.science/halshs-00119141/document (application/pdf)

Related works:
Working Paper: Condorcet domains and distributive lattices (2006)
Working Paper: Condorcet domains and distributive lattices (2006)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00119141

Access Statistics for this paper

More papers in Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
Bibliographic data for series maintained by CCSD ().