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.
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List of Figures
Part I : Models
2. Linear Models in Economics
3. Linear Dynamic Models of an Economy
4. Optimization and Equilibria
5. Nonlinear Economic Equilibrium Models
6. Transportation and Migration Models
Part II : Complementarity Problems
7. Complementarity with Z Properties
9. Complementarity with P Properties
Part III: Variational Inequalities
11. Theory of Variational Inequalities
13. Projection Type Methods
14. Applications of the Projection Methods
15. Regularization Methods
16. Direct Iterative Methods for Monotone Variational Inequalities
17. Solutions to Exercises