Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result
AbstractIf 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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Bibliographic InfoArticle provided by Elsevier in its journal Economics Letters.
Volume (Year): 108 (2010)
Issue (Month): 3 (September)
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Web page: http://www.elsevier.com/locate/ecolet
Strict convexity Strict monotonicity Demand correspondence Single-valuedness Demand function;
Other versions of this item:
- Ennio Bilancini & Leonardo Boncinelli, 2009. "Single-Valuedness of the Demand Correspondence and Strict Convexity of Preferences: An Equivalence Result," Center for Economic Research (RECent) 035, University of Modena and Reggio E., Dept. of Economics.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
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- Mas-Colell, Andreu, 1977. "The Recoverability of Consumers' Preferences from Market Demand Behavior," Econometrica, Econometric Society, vol. 45(6), pages 1409-30, September.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, September.
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