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


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.


Social Preference Collective Choice Strict Preference Consistency Property Asymmetric Part 
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© Palgrave Macmillan, a division of Macmillan Publishers Limited 1990

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  • Douglas Blair

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