A selection of maximal elements under non-transitive indifferences

José Alcantud (), Gianni Bosi and Magalì Zuanon

MPRA Paper from University Library of Munich, Germany

Abstract: In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of "undominated maximals" (cf., Peris and Subiza, J Math Psychology 2002). Provided that an agent's binary relation is acyclic, this is a selection of its maximal elements that can always be done when the set of alternatives is finite. In the case of semiorders, proceeding in this way is the same as using Luce's selected maximals. We put forward a sufficient condition for the existence of undominated maximals for interval orders without any cardinality restriction. Its application to certain type of continuous semiorders is very intuitive and accommodates the well-known "sugar example" by Luce.

Keywords: Maximal element; Selection of maximals; Acyclicity; Interval order; Semiorder (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
Date: 2009-08-04
New Economics Papers: this item is included in nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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