Pareto rationalizability by two single-peaked preferences

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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.mathsocsci.2022.05.001

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Ricardo Arlegi et al., « Pareto rationalizability by two single-peaked preferences », HAL-SHS : économie et finance, ID : 10.1016/j.mathsocsci.2022.05.001


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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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