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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 that Fishburn made to social choice theory some have focused on what he has called "acyclic sets", i.e. the sets of linear orders where majority rule applies without the "Condorcet effect" (majority relation never has cycles). The search for large domains of this type is a fascinating topic. I review the works in this field and in particular consider a recent one that allows to show the connections between some of them that have been 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-00198635.

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Date of creation: Feb 2009
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Publication status: Published, The Mathematics of Preference, Choice and Order, Essays in honor of Peter C. Fishburn, Springer (Ed.), 2009, 139-160
Handle: RePEc:hal:cesptp:halshs-00198635

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00198635
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Related research

Keywords: acyclic set; alternating scheme; distributive lattice; effet Condorcet; linear order; maximal chain; permutoèdre lattice; single-peaked domain; weak Bruhat order; value restriction.;

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Cited by:
  1. repec:hal:journl:halshs-00119141 is not listed on IDEAS
  2. Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories: an oriented survey," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00504974, HAL.
  3. repec:hal:journl:halshs-00309825 is not listed on IDEAS

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