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Equilibrium Problems and Applications
This research monograph is devoted to the analysis of equilibrium problems in pure and applied nonlinear analysis and mathematical economics
Gábor Kassay (Author), Vicen?iu R?dulescu (Author)
9780128110294, Elsevier Science
Paperback, published 11 October 2018
440 pages
22.9 x 15.1 x 2.8 cm, 0.7 kg
"The book is a good introduction into one of the important parts of contemporary applied nonlinear analysis. It contains the explanations of the necessary mathematical tools and thus can be used as a manual for graduate and post-graduate students in theoretical and applied mathematics." --zbMATH Open "Text for graduate-level study of mathematical economics as well as mathematical treatment in the social sciences explores research on general equilibrium models, developing a unified variational approach to deal with single-valued, set-valued, and quasi-equilibrium problems." --Journal of Economic Literature
Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis.
1. Preliminaries and basic mathematical tools2. An overview on equilibrium problems3. Mathematical tools for solving equilibrium problems4. Existence of solutions of equilibrium problems5. Well-posedness for the equilibrium problems6. Variational principles and variational analysis for the equilibrium problems7. Applications to sensitivity of parametric equilibrium problems8. Applications to Nash equilibrium9. Applications to mathematical economics10. Applications to variational inequalities and related topics11. Regularization and numerical methods for equilibrium problems
Subject Areas: Applied mathematics [PBW], Econometrics [KCH]
