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α: calibrated so average coauthorship-adjusted count equals average raw count
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.