TY  - JOUR
ID  - Michalak2014
LB  - Michalak2014
AU  - Michalak, Anna
AU  - Studniarski, Marcin
TI  - Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model
ST  - Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2014
VL  - 34
IS  - 4
SP  - 827
EP  - 835
DO  - http://dx.doi.org/10.7494/OpMath.2014.34.4.827
UR  - http://dx.doi.org/10.7494/OpMath.2014.34.4.827
AB  - 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.
KW  - Gale model
KW  - discontinuous functions
KW  - generalized directional derivatives
KW  - higher-order conditions
KW  - Pareto optimality
SN  - 1232-9274
ER  -