Acyclicity

  • Douglas Blair
Part of the The New Palgrave book series (NPA)

Abstract

Acyclicity is a consistency property of preferences and other binary relations. It requires that the asymmetric part P of the relation (e.g. the subrelation of strict preference) contain no cycles; that is, for no sequence of alternatives x1, x2,…, xn is it true that x1Px2, x2Px3, …, xn−1Pxn, and xnPx1. The study of cyclic preferences dates at least to Condorcet’s (1785) treatment of the paradox of voting, in which transitive individual voters generate cyclic majority preferences.

Keywords

Marquis 

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Copyright information

© Palgrave Macmillan, a division of Macmillan Publishers Limited 1990

Authors and Affiliations

  • Douglas Blair

There are no affiliations available

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