, Volume 102, Issue 1, pp 69-82

On the Monotonicity of the Compromise Set in Multicriteria Problems

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Abstract

This paper discusses the extension of results on monotonicity of the compromise set valid for bicriteria problems to general multicriteria problems under a very general condition, which is assumable in compromise programming problems coming from economics. Mainly, the problem that we treat is the following: find and describe the compromise set when the feasible set is a convex set in the positive cone, limited by a level hypersurface of a differentiable production–transformation function. This scenario is usual in many economic applications, chiefly in production analysis.