
Equilibrium Problems and Applications
Description
Key Features
- A rigorous mathematical analysis of Nash equilibrium type problems, which play a central role to describe network traffic models, competition games or problems arising in experimental economics
- Develops generic models relevant to mathematical economics and quantitative modeling of game theory, aiding economists to understand vital material without having to wade through complex proofs
- Reveals a number of surprising interactions among various equilibria topics, enabling readers to identify a common and unified approach to analysing problem sets
- Illustrates the deep features shared by several types of nonlinear problems, encouraging readers to develop further this unifying approach from other viewpoints into economic models in turn
Readership
Researchers in applied mathematics and econometrics, including graduate students in applied nonlinear analysis. Researchers in mathematical physics. Upper level undergraduate students in applied mathematics may be interested
Table of Contents
1. Preliminaries and basic mathematical tools
2. An overview on equilibrium problems
3. Mathematical tools for solving equilibrium problems
4. Existence of solutions of equilibrium problems
5. Well-posedness for the equilibrium problems
6. Variational principles and variational analysis for the equilibrium problems
7. Applications to sensitivity of parametric equilibrium problems
8. Applications to Nash equilibrium
9. Applications to mathematical economics
10. Applications to variational inequalities and related topics
11. Regularization and numerical methods for equilibrium problems
Product details
- No. of pages: 440
- Language: English
- Copyright: © Academic Press 2018
- Published: October 9, 2018
- Imprint: Academic Press
- Paperback ISBN: 9780128110294
- eBook ISBN: 9780128110300
About the Authors
Gabor Kassay
Affiliations and Expertise
Vicentiu Radulescu
Affiliations and Expertise
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