Equilibrium Problems And Applications by Vicentiu RadulescuEquilibrium Problems And Applications by Vicentiu Radulescu

Equilibrium Problems And Applications

byVicentiu Radulescu, Gabor Kassay

Paperback | October 1, 2018

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Equilibrium Problems and Applicationsdevelops a unified variational approach to deal with single-valued, set-valued and quasi-variational equilibrium problems. The authors develop original results in relationship with classical contributions to the field of equilibrium problems. The content is mainly developed in the general setting of topological vector spaces and 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.



  • Presents a rigorous mathematical analysis of Nash equilibrium type problems
  • 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 analysis
  • Illustrates the deep features shared by several types of nonlinear problems
Vicentiu D. Radulescu received his Ph.D. at the Universit\'e Pierre et Marie Curie (Paris 6) in 1995 under the supervision of Haim Brezis. In 2003 he defended his Habilitation M\'emoire at the same university. Radulescu is Distinguished Adjunct Professor at the King Abdulaziz University of Jeddah, Professorial Fellow at the Simion Stoi...
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Title:Equilibrium Problems And ApplicationsFormat:PaperbackDimensions:400 pages, 8.75 × 6.35 × 0.68 inPublished:October 1, 2018Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128110295

ISBN - 13:9780128110294

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Table of Contents

1. Introduction 2. Preliminaries and basic mathematical tools 3. An Overview on Equilibrium Problems 4. Existence of solutions of Equilibrium Problems 5. Applications to Nash Equilibrium 6. Applications to Mathematical Economics 7. Applications to variational inequalities and related topics 8. Regularization and numerical methods for equilibrium problems