@article{eprints3886,
           title = {Single-valuedness of the demand correspondence and strict convexity of preferences: An equivalence result},
          author = {Ennio Bilancini and Leonardo Boncinelli},
            year = {2010},
          number = {3},
           pages = {299--302},
          volume = {108},
       publisher = {Elsevier},
         journal = {Economics Letters},
             url = {http://eprints.imtlucca.it/3886/},
        abstract = {If preferences are rational and continuous, then strict convexity implies that the demand correspondence is single-valued (e.g. Barten and B{\"o}hm, 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.},
        keywords = {Strict convexity; Strict monotonicity; Demand correspondence; Single-valuedness; Demand function}
}