Differential Variational Inequalities and Differential Nash Games

Terry L. Friesz ()
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Terry L. Friesz: Pennsylvania State University

Chapter Chapter 6 in Dynamic Optimization and Differential Games, 2010, pp 267-312 from Springer

Abstract: Abstract In this chapter we focus on extending the notion of a noncooperative Nash equilibrium to a dynamic, continuous-time setting. The dominant mathematical perspective we will employ is that of a differential variational inequality. In fact we shall see that many of the results obtained in the previous chapter for finite-dimensional variational inequalities and static games carry over with some slight modifications to the dynamic, continuous-time setting we now address.

Keywords: Variational Inequality; Optimal Control Problem; Variational Inequality Problem; Nonlinear Complementarity Problem; Mixed Variational Inequality (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-72778-3_6

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