Variational Inequality Theory

  • Anna Nagurney
Part of the Advances in Computational Economics book series (AICE, volume 10)

Abstract

Equilibrium is a concept central to the analysis of economic phenomena. Methodologies that have been applied to the formulation, qualitative analysis, and computation of economic equilibria have included systems of equations, optimization theory, complementarity theory, as well as fixed point theory. In this chapter the foundations for the theory of variational inequalities are established and the relationship of this methodology to other existing equilibrium analysis tools identified. Variational inequality theory will be utilized throughout the book as the fundamental methodology in synthesizing network economic equilibrium models operating under a spectrum of behavioral mechanisms and ranging from spatial price equilibrium problems and imperfectly competitive oligopolistic market equilibrium problems to general financial equilibrium problems.

Keywords

Equilibrium Point Variational Inequality Equilibrium Problem Complementarity Problem Variational Inequality Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Anna Nagurney
    • 1
  1. 1.University of MassachusettsAmherstUSA

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