eprintid: 3886 rev_number: 5 eprint_status: archive userid: 69 dir: disk0/00/00/38/86 datestamp: 2018-01-24 12:15:04 lastmod: 2018-01-24 12:15:04 status_changed: 2018-01-24 12:15:04 type: article metadata_visibility: show creators_name: Bilancini, Ennio creators_name: Boncinelli, Leonardo creators_id: ennio.bilancini@imtlucca.it creators_id: title: Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result ispublished: pub subjects: HB divisions: EIC full_text_status: none keywords: Strict convexity; Strict monotonicity; Demand correspondence; Single-valuedness; Demand function 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. date: 2010 date_type: published publication: Economics Letters volume: 108 number: 3 publisher: Elsevier pagerange: 299-302 id_number: doi:10.1016/j.econlet.2010.05.025 refereed: TRUE issn: 01651765 official_url: http://doi.org/10.1016/j.econlet.2010.05.025 citation: 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)