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Acyclic domains of linear orders : a survey

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  • Bernard Monjardet

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

Abstract

Among the many significant contributions of Fishburn to social choice theory some have borne on what he has called «acyclic sets», i.e. these sets of linear orders where majority rule applies without «Condorcet effect» (majority relation never has cycles). Search for large such domains is a fascinating topic. I review the works in this field and in particular a recent one allowing to show the connections between some of them unrelated up to now.

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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00130205.

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Date of creation: Dec 2006
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Handle: RePEc:hal:cesptp:halshs-00130205

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00130205
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Related research

Keywords: Acyclic set; alternating scheme; distributive lattice; effet Condorcet; maximal chain; permutoedre lattice; weak Bruhat order; value restriction.;

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Cited by:
  1. Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories : An oriented survey," Documents de travail du Centre d'Economie de la Sorbonne 10057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. Bernard Monjardet, 2006. "Condorcet domains and distributive lattices," Post-Print halshs-00119141, HAL.
  3. Bernard Monjardet, 2008. ""Mathématique Sociale" and Mathematics. A case study: Condorcet's effect and medians," Post-Print halshs-00309825, HAL.

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