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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Blasco, F., Cuchillo-Ibáñez, E., Morón, M.A. et al. On the Monotonicity of the Compromise Set in Multicriteria Problems. Journal of Optimization Theory and Applications 102, 69–82 (1999). https://doi.org/10.1023/A:1021838311346
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DOI: https://doi.org/10.1023/A:1021838311346