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Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure

In: Pareto Optimality, Game Theory And Equilibria

Author

Listed:
  • Monica–Gabriela Cojocaru

    (University of Guelph)

  • Patrizia Daniele

    (University of Catania)

  • Anna Nagurney

    (University of Massachusetts)

Abstract

In this paper, we establish the equivalence between the solutions to an evolutionary variational inequality and the critical points of a projected dynamical system in infinite-dimensional spaces. We then present an algorithm, with convergence results, for the computation of solutions to evolutionary variational inequalities based on a discretization method and with the aid of projected dynamical systems theory. A numerical traffic network example is given for illustrative purposes.

Suggested Citation

  • Monica–Gabriela Cojocaru & Patrizia Daniele & Anna Nagurney, 2008. "Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Athanasios Migdalas & Leonidas Pitsoulis (ed.), Pareto Optimality, Game Theory And Equilibria, pages 387-406, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-77247-9_14
    DOI: 10.1007/978-0-387-77247-9_14
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    Cited by:

    1. Georgia Fargetta & Laura R. M. Scrimali, 2023. "A sustainable dynamic closed-loop supply chain network equilibrium for collectibles markets," Computational Management Science, Springer, vol. 20(1), pages 1-30, December.

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