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

Bilancini, Ennio and Boncinelli, Leonardo Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result. Economics Letters, 108 (3). pp. 299-302. ISSN 01651765 (2010)

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## 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.

Item Type: Article 10.1016/j.econlet.2010.05.025 Strict convexity; Strict monotonicity; Demand correspondence; Single-valuedness; Demand function H Social Sciences > HB Economic Theory Economics and Institutional Change Caterina Tangheroni 24 Jan 2018 12:15 24 Jan 2018 12:15 http://eprints.imtlucca.it/id/eprint/3886