Equilibrium conditions and vector variational inequalities: a complex relation |
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Authors: | F Raciti |
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Institution: | (1) Dipartimento di Matematica e Informatica, Università di Catania, and Facoltà di Ingegneria dell’ Università di Catania, V.le A.Doria, 6, 95125 Catania, Italy |
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Abstract: | Since a look to the present literature shows that the notion of vector equilibrium is not univocally defined, the relationship
between vector equilibrium problems and vector variational inequalities deserves a specific analysis, deeper than in the scalar
case. We analyse and compare various definitions and clarify how they depend on the modelling of the problem under consideration.
Furthermore, we show that at least one vector variational inequality formulation of the problem is possible, which is equivalent
to a Wardrop-type equilibrium condition. The analysis is illustrated through the concrete example of a multiclass and multiobjective
supply demand network.
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Keywords: | Traffic Networks Vector Variational Inequalities Pareto Optimization Multiobjective Equilibrium Problems Vector Wardrop Principle |
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