On the consistency and the decisiveness of the double-minded decision-maker

Metin Uyanık and M. Khan

Economics Letters, 2019, vol. 185, issue C

Abstract: Under a continuity hypothesis on bi-preferences defined on a topologically-connected choice-set, as formalized by Giarlotta–Greco (2013), this letter reports that a mildly consistent, double-minded decision-maker is single-minded in the sense of being fully consistent and decisive. The results generalize recent work of Giarlotta–Watson (2019), and thereby provide a far-reaching generalization of a result of Schmeidler (1971) that has received considerable recent attention, and extend to mixture-sets of Herstein–Milnor (1953). They give another perspective on the authors’ work on the Eilenberg–Sonnenschein (ES) research program embracing both the topological and algebraic registers in choice theory.

Keywords: Completeness; Transitivity; Uni-preference; Bi-preference; Connectedness; Mixture-set (search for similar items in EconPapers)
JEL-codes: C00 D00 D01 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:185:y:2019:i:c:s0165176519303283

DOI: 10.1016/j.econlet.2019.108657

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