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Dynamic Competition on Networks: Differential Variational Inequalities, Limited Warfare and Internet Vulnerability

In: Network Science, Nonlinear Science and Infrastructure Systems

Author

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  • Terry L. Friesz

    (The Pennsylvania State University)

Abstract

In this paper we are concerned with a class of mathematical problems that arise when modelling dynamic competition among conflicting agents that may or may not reach an equilibrium. We call this class of problems differential variational inequalities. We are further interested in the application of models belonging to this class of problems to the study of (1) policy constrained, limited warfareand (2) Internet vulnerability.

Suggested Citation

  • Terry L. Friesz, 2007. "Dynamic Competition on Networks: Differential Variational Inequalities, Limited Warfare and Internet Vulnerability," International Series in Operations Research & Management Science, in: Terry L. Friesz (ed.), Network Science, Nonlinear Science and Infrastructure Systems, chapter 0, pages 77-98, Springer.
    • Handle: RePEc:spr:isochp:978-0-387-71134-8_4
    DOI: 10.1007/0-387-71134-1_4
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    Cited by:

    1. Xing Wang & Ya-wei Qi & Chang-qi Tao & Yi-bin Xiao, 2017. "A Class of Delay Differential Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 56-69, January.

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