If preferences are rational and continuous, then strict convexity implies that the demand correspondence is single-valued (e.g. Barten and Bohm¨ , 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.
Bilancini, E. e L., Boncinelli. "Single-Valuedness of the Demand Correspondence and Strict Convexity of Preferences: An Equivalence Result" Working paper, Dipartimento di Economia Marco Biagi – Università di Modena e Reggio Emilia, 2009.
Single-Valuedness of the Demand Correspondence and Strict Convexity of Preferences: An Equivalence Result
Bilancini, E.;
2009
Abstract
If preferences are rational and continuous, then strict convexity implies that the demand correspondence is single-valued (e.g. Barten and Bohm¨ , 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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