eprintid: 3884 rev_number: 5 eprint_status: archive userid: 69 dir: disk0/00/00/38/84 datestamp: 2018-01-24 12:09:40 lastmod: 2018-01-24 12:09:40 status_changed: 2018-01-24 12:09:40 type: article metadata_visibility: show creators_name: Bilancini, Ennio creators_name: Boncinelli, Leonardo creators_id: ennio.bilancini@imtlucca.it creators_id: title: Preferences and normal goods: An easy-to-check necessary and sufficient condition ispublished: pub subjects: HB divisions: EIC full_text_status: none keywords: Normal goods; Bordered Hessian abstract: We provide a necessary and sufficient condition for goods to be normal when utility functions are differentiable and strongly quasi-concave. Our condition is equivalent to the condition proposed by Alarie et al. (1990), but it is easier to check: it only requires to compute the minors associated with the border column (or row) of the bordered Hessian matrix of the utility function. date: 2010 date_type: published publication: Economics Letters volume: 108 number: 1 publisher: Elsevier pagerange: 13-15 id_number: doi:10.1016/j.econlet.2010.03.005 refereed: TRUE issn: 0165-1765 official_url: http://doi.org/10.1016/j.econlet.2010.03.005 citation: Bilancini, Ennio and Boncinelli, Leonardo Preferences and normal goods: An easy-to-check necessary and sufficient condition. Economics Letters, 108 (1). pp. 13-15. ISSN 0165-1765 (2010)