On the monotonicity of the compromise set in multicriteria problems

On the monotonicity of the compromise set in multicriteria problems

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Article ID: iaor20001824
Country: United States
Volume: 102
Issue: 1
Start Page Number: 69
End Page Number: 82
Publication Date: Jul 1999
Journal: Journal of Optimization Theory and Applications
Authors: , , ,
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.

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