Acyclic domains of linear orders : a survey
AbstractAmong 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 InfoPaper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06083.
Length: 28 pages
Date of creation: Dec 2006
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Acyclic set; alternating scheme; distributive lattice; effet Condorcet; maximal chain; permutoedre lattice; weak Bruhat order; value restriction.;
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-02-17 (All new papers)
- NEP-CDM-2007-02-17 (Collective Decision-Making)
- NEP-DCM-2007-02-17 (Discrete Choice Models)
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Documents de travail du Centre d'Economie de la Sorbonne
10057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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