Weak utilities from acyclicity

Utility, Partial order, Acyclicity, Maximal element, Semicontinuous utility,

A selection of maximal elements under non-transitive indifferences

In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of \u2018\u2018undominated maximals\u2019\u2019 (cf., Peris & Subiza, 2002). Provided that an agent\u2019s 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\u2019s selected maximals. We present a sufficient condition for the existence of undominated maximals for interval orders without any cardinality restriction. Its application to certain types of continuous semiorders is very intuitive and accommodates the well-known \u2018\u2018sugar example\u2019\u2019 by Luce

Mixture sets on finite domains

Mixture set, Antimatroid, D8,

Choice, preference and rationalizability in pareto’s theory of economic behavior

rationalizable choice, consistency, decisiveness,