%0 Journal Article
%@ 01651765
%A Bilancini, Ennio
%A Boncinelli, Leonardo
%D 2010
%F eprints:3886
%I Elsevier
%J Economics Letters
%K Strict convexity; Strict monotonicity; Demand correspondence; Single-valuedness; Demand function
%N 3
%P 299-302
%T Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result
%U http://eprints.imtlucca.it/3886/
%V 108
%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.