Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities

Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities

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Article ID: iaor20083814
Country: Netherlands
Volume: 175
Issue: 1
Start Page Number: 494
End Page Number: 507
Publication Date: Nov 2006
Journal: European Journal of Operational Research
Authors: , ,
Keywords: economics, game theory, networks
Abstract:

In this paper we continue the study of the unified dynamics resulting from the theory of projected dynamical systems and evolutionary variational inequalities, initiated by Cojocaru, Daniele, and Nagumey. In the process we make explicit the interdependence between the two timeframes used in this new theory. The theoretical results presented here provide a natural context for studying applied problems in disciplines such as operations research, engineering, in particular, transportation science, as well as in economics and finance.

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