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

Monica–Gabriela Cojocaru (), Patrizia Daniele () and Anna Nagurney ()
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Monica–Gabriela Cojocaru: University of Guelph
Patrizia Daniele: University of Catania
Anna Nagurney: University of Massachusetts

A chapter in Pareto Optimality, Game Theory And Equilibria, 2008, pp 387-406 from Springer

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.

Keywords: projected dynamical systems; evolutionary variational inequalities; critical points; regularization procedure; discretization (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-77247-9_14

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DOI: 10.1007/978-0-387-77247-9_14

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