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Time-Dependent Equilibrium Problems

In: Pareto Optimality, Game Theory And Equilibria

Author

Listed:
  • Antonino Maugeri

    (University of Catania)

  • Carmela Vitanza

    (University of Messina)

Abstract

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.

Suggested Citation

  • Antonino Maugeri & Carmela Vitanza, 2008. "Time-Dependent Equilibrium Problems," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Athanasios Migdalas & Leonidas Pitsoulis (ed.), Pareto Optimality, Game Theory And Equilibria, pages 249-266, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-77247-9_10
    DOI: 10.1007/978-0-387-77247-9_10
    as

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