@Article{Michalak2014, author = "Michalak, Anna and Studniarski, Marcin", title = "Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model", journal = "Opuscula Math.", year = "2014", volume = "34", number = "4", pages = "827--835", doi = "http://dx.doi.org/10.7494/OpMath.2014.34.4.827", url = "http://dx.doi.org/10.7494/OpMath.2014.34.4.827", abstract = "In this paper we examine the concept of Pareto optimality in a simplified Gale economic model without assuming continuity of the utility functions. We apply some existing results on higher-order optimality conditions to get necessary and sufficient conditions for a locally Pareto optimal allocation.", keywords = "Gale model, discontinuous functions, generalized directional derivatives, higher-order conditions, Pareto optimality", issn = "1232-9274" }