Pareto rationalizability by two single-peaked preferences

Ricardo Arlegi (1, 2) , Miriam Teschl (3)

1 UPNA - Universidad Pública de Navarra [Espagne] = Public University of Navarra
2 INARBE - Institute for Advanced Research in Business and Economics
3 AMSE - Aix-Marseille Sciences Economiques

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.

Keywords: Pareto rationalizability; Single-peaked preferences

Domains: Humanities and Social Sciences; Economics and Finance

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