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Pareto rationalizability by two single-peaked preferences

Abstract : We study, in a finite setting, the problem of Pareto rationalizability of choice functions by means of a preference profile that is single-peaked with respect to an exogenously given linear order over the alternatives. This problem requires a new condition to be added to those that characterize Pareto rationalizability in the general domain of orders (Moulin (1985)). This new condition appeals to the existence of a central range of options such that the choice function excludes alternatives which are distant from that range.
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Submitted on : Wednesday, July 27, 2022 - 3:02:05 PM
Last modification on : Tuesday, August 2, 2022 - 3:54:21 AM

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Ricardo Arlegi, Miriam Teschl. Pareto rationalizability by two single-peaked preferences. Mathematical Social Sciences, Elsevier, 2022, 118, pp.1-11. ⟨10.1016/j.mathsocsci.2022.05.001⟩. ⟨hal-03739461⟩

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