Vector network equilibrium problems and nonlinear scalarization methods

G. Y. Chen, C. J. Goh, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

52 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)239-253
Number of pages15
JournalMathematical Methods of Operations Research
Volume49
Issue number2
Publication statusPublished - 1 Apr 1999

Keywords

  • Multicriteria network equilibrium
  • Scalarization methods
  • Strictly monotone functions
  • Variational inequalities

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Applied Mathematics

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