%X 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.
%J Economics Letters
%P 299-302
%A Ennio Bilancini
%A Leonardo Boncinelli
%K Strict convexity; Strict monotonicity; Demand correspondence; Single-valuedness; Demand function
%D 2010
%L eprints3886
%I Elsevier
%T Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result
%V 108
%R doi:10.1016/j.econlet.2010.05.025
%N 3