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Pareto rationalizability by two single-peaked preferences

Author

Listed:
  • Ricardo Arlegi

    (UPNA - Universidad Pública de Navarra [Espagne] = Public University of Navarra, INARBE - Institute for Advanced Research in Business and Economics)

  • Miriam Teschl

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Ricardo Arlegi & Miriam Teschl, 2022. "Pareto rationalizability by two single-peaked preferences," Post-Print hal-03739461, HAL.
    • Handle: RePEc:hal:journl:hal-03739461
    DOI: 10.1016/j.mathsocsci.2022.05.001
    as

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