Vector network equilibrium problems and nonlinear scalarization methods

G. Y. Chen, C. J. Goh and X. Q. Yang

Mathematical Methods of Operations Research, 1999, vol. 49, issue 2, 239-253

Abstract: The conventional equilibrium problem found in many economics and network models is based on a scalar cost, or a single objective. Recently, equilibrium problems based on a vector cost, or multicriteria, have received considerable attention. In this paper, we study a scalarization method for analyzing network equilibrium problems with vector-valued cost function. The method is based on a strictly monotone function originally proposed by Gerstewitz. Conditions that are both necessary and sufficient for weak vector equilibrium are derived, with the prominent feature that no convexity assumptions are needed, in contrast to other existing scalarization methods. Copyright Springer-Verlag Berlin Heidelberg 1999

Keywords: Key words: Multicriteria network equilibrium; scalarization methods; strictly monotone functions; variational inequalities (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (15)

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DOI: 10.1007/s001860050023

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