The paper presents variational models for dynamic traffic, dynamic market, and evolutionary financial equilibrium problems taking into account that the equilibria are not fixed and move with time. The authors provide a review of the history of the variational inequality approach to problems in physics, traffic networks, and others, then they model the dynamic equilibrium problems as time-dependent variational inequalities and give existence results. Moreover, they present an infinite dimensional Lagrangean duality and apply this theory to the above time-dependent variational inequalities.
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Maugeri, A., Vitanza, C. (2008). Time-Dependent Equilibrium Problems. In: Chinchuluun, A., Pardalos, P.M., Migdalas, A., Pitsoulis, L. (eds) Pareto Optimality, Game Theory And Equilibria. Springer Optimization and Its Applications, vol 17. Springer, New York, NY. https://doi.org/10.1007/978-0-387-77247-9_10
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DOI: https://doi.org/10.1007/978-0-387-77247-9_10
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