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

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.

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Year of publication:	2010
Authors:	Bilancini, Ennio ; Boncinelli, Leonardo
Published in:	Economics Letters. - Elsevier, ISSN 0165-1765. - Vol. 108.2010, 3, p. 299-302
Publisher:	Elsevier
Keywords:	Strict convexity Strict monotonicity Demand correspondence Single-valuedness Demand function

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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