Acyclic domains of linear orders: a survey

Bernard Monjardet

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

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

Keywords: Acyclic set; alternating scheme; distributive lattice; effet Condorcet; maximal chain; permutoedre lattice; weak Bruhat order; value restriction (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2006-12
New Economics Papers: this item is included in nep-cdm and nep-dcm
References: View complete reference list from CitEc
Citations: View citations in EconPapers (8)

Downloads: (external link)
https://halshs.archives-ouvertes.fr/halshs-00130205 (application/pdf)
https://doi.org/10.1007/978-3-540-79128-7_8

Related works:
Chapter: Acyclic Domains of Linear Orders: A Survey (2009)
Working Paper: Acyclic domains of linear orders: a survey (2009)
Working Paper: Acyclic domains of linear orders: a survey (2009)
Working Paper: Acyclic domains of linear orders: a survey (2007)
Working Paper: Acyclic domains of linear orders: a survey (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b06083

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