Between Pareto efficiency and Pareto ε-efficiency

Abstract

By using an efficiency notion placed between Pareto efficiency and Pareto ε-efficiency it is shown that semi Archimedian ordered vector spaces and regular ordered locally convex spaces can be characterized by existence results concerning efficient points of this type for lower bounded sets. The technique developed in the paper allows us to obtain necessary and sufficient conditions for the existence of Pareto efficient points, too.

Keywords:

• Cone orderings
• Pareto efficient points
• approximative vector minimization

AMS 1980 Subject Classification:

• Primary:90 C 31
• Secondary:49 A 27