1989•OptimizationRequires access

Between Pareto efficiency and Pareto ε-efficiency

A. B. Németh

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.

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Available abstract

Key concepts: Pareto principle, Pareto efficiency, Mathematics, Regular polygon, Pareto analysis, Mathematical optimization, Bounded function, Type (biology)