Input optimization: III. optimal realizations of multiobjective models

Abstract

We study convex multiobjective optimization models under stable perturbations of the vector parameter. The main results identify optimal realizations of such models, i.e. the states of the models that give locally the “best” strong PABETO (properly efficient) solutions. In the context of welfare economics, we describe states of economic systems that are brought into their “optimal” competitive equilibria by stable perturbations of the parameters

Keywords:

• Input Optimization
• Multiobjective Optimization
• Pabeto Solutions
• Stable Perturbations
• Welfare Economics
• Convex Functions
• Optimality Conditions

¹This research was supported in part by the Natural Sciences and Engineering Research Council of Canada.

¹This research was supported in part by the Natural Sciences and Engineering Research Council of Canada.

Notes

¹This research was supported in part by the Natural Sciences and Engineering Research Council of Canada.