Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result

Ennio Bilancini and Leonardo Boncinelli

Economics Letters, 2010, vol. 108, issue 3, 299-302

Abstract: If preferences are rational and continuous, then strict convexity implies that the demand correspondence is single-valued (e.g. Barten and Böhm, 1982, lemma 7.3). We show that if, in addition, preferences are strictly monotone then the converse is also true, namely single-valuedness of the demand correspondence implies strict convexity of preferences.

Keywords: Strict; convexity; Strict; monotonicity; Demand; correspondence; Single-valuedness; Demand; function (search for similar items in EconPapers)
Date: 2010
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Related works:
Working Paper: Single-Valuedness of the Demand Correspondence and Strict Convexity of Preferences: An Equivalence Result (2009)
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