ISSN:
1432-5217
Keywords:
Key words: Multicriteria network equilibrium
;
scalarization methods
;
strictly monotone functions
;
variational inequalities
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Economics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s001860050023
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