Network Equilibrium Problemswith Vector Costs
نویسنده
چکیده
Abstarct: The conventional equilibria problem found in many economics and network models is based on a scalar cost, or a single objective. Recently, equilibria problems based on a vector cost, or multicriteria, have received considerable attention. In this paper, we study a scalarization method for analyzing network equilibria problems with vector-valued cost function. The method is based on the smallest strictly monotone function previously proposed by Luc. Conditions which are both necessary and suucient for weak vector equilibrium are derived, with the prominent feature that no convexity assumptions are needed, in contrast to other existing scalarization method.
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