Measuring the cohesiveness of preferences: an axiomatic analysis |
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Authors: | Jorge Alcalde-Unzu Marc Vorsatz |
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Affiliation: | 1. Department of Economics, Public University of Navarre, Campus Arrosadia, 31006, Pamplona, Spain 2. Departamento de Análisis Económico II, Universidad Nacional de Educación a Distancia (UNED), Paseo Senda del Rey 11, 28040, Madrid, Spain 3. Fundación de Estudios de Economía Aplicada (FEDEA), Calle Jorge Juan 46, 28001, Madrid, Spain
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Abstract: | In this paper, we axiomatically study how to measure the similarity of preferences in a group of individuals. For simplicity, we refer to this as the cohesiveness. First, we provide axioms that characterize a family of linear and additive measures whose intersection is a partial ordinal criterion similar to first order stochastic dominance. The introduction of some additional properties isolates a one-parameter subfamily. This parameter evaluates the effect on the cohesiveness if one individual changes his ranking on a single pair of objects, as a function of how many of the remaining individuals in the group rank the first object over the second and vice versa. Finally, we characterize the focal measures of this subfamily separately showing that they coincide with measures constructed using two, at first sight, totally different approaches suggested in the literature. |
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