Equilibrium Problems and Applications
  • Author : Gábor Kassay
  • Release Date : 09 October 2018
  • Publisher : Academic Press
  • Genre : Business & Economics
  • Pages : 440
  • ISBN 13 : 9780128110300

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Book excerpt: 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. 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

Equilibrium Problems and Applications

Equilibrium Problems and Applications

Author : Gábor Kassay,Vicențiu Rădulescu
Publisher : Academic Press
Genre : Business & Economics
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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 ...

Equilibrium Problems and Variational Models

Equilibrium Problems and Variational Models

Author : P. Daniele,F. Giannessi,A. Maugeri
Publisher : Springer Science & Business Media
Genre : Mathematics
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The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of ...

Equilibrium Problems  Nonsmooth Optimization and Variational Inequality Models

Equilibrium Problems Nonsmooth Optimization and Variational Inequality Models

Author : F. Giannessi,A. Maugeri,Panos M. Pardalos
Publisher : Springer Science & Business Media
Genre : Mathematics
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The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows ...

Variational Inequalities and Network Equilibrium Problems

Variational Inequalities and Network Equilibrium Problems

Author : F. Giannessi,A. Maugeri
Publisher : Springer Science & Business Media
Genre : Social Science
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This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange ...

Generalized Nash Equilibrium Problems  Bilevel Programming and MPEC

Generalized Nash Equilibrium Problems Bilevel Programming and MPEC

Author : Didier Aussel,C.S. Lalitha
Publisher : Springer
Genre : Mathematics
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The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC). These problems interact through their mathematical analysis as well as their applications. The primary aim of the book is to present the modern tool of variational analysis ...

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Author : Jiri Outrata,M. Kocvara,J. Zowe
Publisher : Springer Science & Business Media
Genre : Mathematics
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In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. ...

Complementarity  Equilibrium  Efficiency and Economics

Complementarity Equilibrium Efficiency and Economics

Author : G. Isac,V.A. Bulavsky,Vyacheslav V. Kalashnikov
Publisher : Springer Science & Business Media
Genre : Mathematics
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In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical ...

Equilibrium and Advanced Transportation Modelling

Equilibrium and Advanced Transportation Modelling

Author : P. Marcotte,Sang Nguyen
Publisher : Springer Science & Business Media
Genre : Business & Economics
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Each chapter in Equilibrium and Advanced Transportation Modelling develops a topic from basic concepts to the state-of-the-art, and beyond. All chapters relate to aspects of network equilibrium. Chapter One advocates the use of simulation models for the representation of traffic flow movements at the microscopic level. Chapter Two presents travel ...

Projected Dynamical Systems and Variational Inequalities with Applications

Projected Dynamical Systems and Variational Inequalities with Applications

Author : Anna Nagurney,Ding Zhang
Publisher : Springer Science & Business Media
Genre : Business & Economics
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Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. The problems in this area are large and complex and have involved a variety of mathematical methodologies. In this monograph, the authors have widened ...

Convergence Analysis of Proximal like Methods for Variational Inequalities and Fixed Point Problems

Convergence Analysis of Proximal like Methods for Variational Inequalities and Fixed Point Problems

Author : Nils Langenberg
Publisher : Logos Verlag Berlin GmbH
Genre : Business & Economics
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Several regularization methods for variational inequalities and fixed point problems are studied. Known convergence results especially require some kind of monotonicity of the problem data as well as, especially for Bregman-function-based algorithms, some additional assumption known as the cutting plane property. Unfortunately, these assumptions may be considered as rather restrictive ...

Equilibrium Models and Variational Inequalities

Equilibrium Models and Variational Inequalities

Author : Igor Konnov
Publisher : Elsevier
Genre : Mathematics
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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 ...

Recent Developments in Sustainable Infrastructure

Recent Developments in Sustainable Infrastructure

Author : Bibhuti Bhusan Das,Salim Barbhuiya,Rishi Gupta,Purnachandra Saha
Publisher : Springer Nature
Genre : Technology & Engineering
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This book comprises select peer-reviewed proceedings of the International Conference on Recent Developments in Sustainable Infrastructure (ICRDSI) 2019. The topics span over all major disciplines of civil engineering with regard to sustainable development of infrastructure and innovation in construction materials, especially concrete. The book covers numerical and analytical studies on various ...