Equilibrium models and variational inequalities
Author(s)
Bibliographic Information
Equilibrium models and variational inequalities
（Mathematics in science and engineering : a series of monographs and textbooks, v. 210）
Elsevier, 2007
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p. 229-231) and index
Description and Table of Contents
Description
The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences.
Table of Contents
PrefaceContentsList of Figures1. IntroductionPart I : Models2. Linear Models in Economics3. Linear Dynamic Models of an Economy4. Optimization and Equilibria5. Nonlinear Economic Equilibrium Models6. Transportation and Migration ModelsPart II : Complementarity Problems7. Complementarity with Z Properties8. Applications9. Complementarity with P Properties10. ApplicationsPart III: Variational Inequalities11. Theory of Variational Inequalities12. Applications13. Projection Type Methods14. Applications of the Projection Methods15. Regularization Methods16. Direct Iterative Methods for Monotone Variational Inequalities17. Solutions to ExercisesBibliographyIndex
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