Intransitive Preference Relations and Preference Differences
Conference paper
Abstract
Aggregation of preference relations by solving a certain optimization problem results in a collective preference which generalizes the majority preference in a natural way (Lemma 2.2). If the optimal preference relation is not required to be necessarily transitive, a cardinal evaluation of the alternatives can be given which allows a one-way cardinal representation of this relation.
For the problem of aggregation of binary relations, Speckbacher (1995) has introduced acyclic comparison relations. Our method can be used to aggregate such relations without transitivity.
Keywords
Preference Relation Preference Difference Strict Preference Collective Preference Good Element
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References
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