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Weak pseudo-rationalizability

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  • Stewart, Rush T.

Abstract

This paper generalizes rationalizability of a choice function by a single acyclic binary relation to rationalizability by a set of such relations. Rather than selecting those options in a menu that are maximal with respect to a single binary relation, a weakly pseudo-rationalizable choice function selects those options that are maximal with respect to at least one binary relation in a given set. I characterize the class of weakly pseudo-rationalizable choice functions in terms of simple functional properties. This result also generalizes Aizerman and Malishevski’s characterization of pseudo-rationalizable choice functions, that is, choice functions rationalizable by a set of total orders.

Suggested Citation

  • Stewart, Rush T., 2020. "Weak pseudo-rationalizability," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 23-28.
    • Handle: RePEc:eee:matsoc:v:104:y:2020:i:c:p:23-28
    DOI: 10.1016/j.mathsocsci.2020.01.003
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    References listed on IDEAS

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