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Acyclic domains of linear orders : a survey

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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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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/B06083.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06083.

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Length: 28 pages
Date of creation: Dec 2006
Date of revision:
Handle: RePEc:mse:wpsorb:b06083

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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. repec:hal:journl:halshs-00119141 is not listed on IDEAS
  3. repec:hal:journl:halshs-00309825 is not listed on IDEAS

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