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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
Identification Number: https://doi.org/10.1016/j.econlet.2010.05.025
Uncontrolled Keywords: Strict convexity; Strict monotonicity; Demand correspondence; Single-valuedness; Demand function
Subjects: H Social Sciences > HB Economic Theory
Research Area: Economics and Institutional Change
Depositing User: Caterina Tangheroni
Date Deposited: 24 Jan 2018 12:15
Last Modified: 24 Jan 2018 12:15
URI: http://eprints.imtlucca.it/id/eprint/3886

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