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Equilibrium Problems And Applications

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Equilibrium Problems and Applications

Equilibrium Problems and Applications Book
Author : Gábor Kassay,Vicențiu Rădulescu
Publisher : Academic Press
Release : 2018-10-09
ISBN : 0128110309
Language : En, Es, Fr & De

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Book Description :

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

Solving Equilibrium Problems with Applications to Qualitative Analysis

Solving Equilibrium Problems  with Applications to Qualitative Analysis Book
Author : Steven S. Zumdahl
Publisher : Brooks/Cole Publishing Company
Release : 1989
ISBN : 9780669167184
Language : En, Es, Fr & De

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Book Description :

Download Solving Equilibrium Problems with Applications to Qualitative Analysis book written by Steven S. Zumdahl, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Equilibrium Problems Nonsmooth Optimization and Variational Inequality Models

Equilibrium Problems  Nonsmooth Optimization and Variational Inequality Models Book
Author : F. Giannessi,A. Maugeri,Panos M. Pardalos
Publisher : Springer Science & Business Media
Release : 2006-04-11
ISBN : 0306480263
Language : En, Es, Fr & De

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Book Description :

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 how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.

Network Economics

Network Economics Book
Author : Anna Nagurney
Publisher : Springer Science & Business Media
Release : 2013-03-09
ISBN : 1475730055
Language : En, Es, Fr & De

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Book Description :

Since the publication of the first edition of Network Economics: A Variational Inequality Approach in 1993, there have been many ad vances in both methodological developments, as well as, applications in this field. These have occurred in an environment of an increasingly networked global economy, in which the importance of transportation networks and communication networks is now well-recognized, with net works such as knowledge networks, environmental networks, and finan cial networks receiving growing attention. This edition adds recent research progress in new and evolving ar eas of network economics through common and unifying principles. In addition, it includes dynamic models of traffic, of spatially separated markets, of oligopolistic markets, and of financial markets. In order to expand the range and reach of this material, we have also included a series of problems in an appendix for self-study purposes and for use in the classroom. We note that computational economics has been at the forefront in stimulating the development of mathematical methodologies for the analysis and solution of complex, large-scale problems. The past fifteen years, in particular, have witnessed a dramatic growth of interest in this area. Supported by the increasing availability of data and by advances in computer architectures, the scale and dimensions of problems that can now be handled are unveiling new horizons in both theoretical modeling and policy analysis.

Equilibrium Problems and Variational Models

Equilibrium Problems and Variational Models Book
Author : P. Daniele,F. Giannessi,A. Maugeri
Publisher : Springer Science & Business Media
Release : 2013-12-01
ISBN : 1461302390
Language : En, Es, Fr & De

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Book Description :

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 some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book "Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models", edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han dle problems whose equilibrium conditions are not obtained by the mini mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con dition, which enriches our knowledge of the equilibrium behaviour. Also this volume presents important examples of this formulation.

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Operator Theorems with Applications to Distributive Problems and Equilibrium Models Book
Author : Antonio Villar
Publisher : Springer
Release : 1992-02-26
ISBN : 9783540550877
Language : En, Es, Fr & De

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Book Description :

Presentation Many economic problems, as equilibrium models, input-output analysis, rational behaviour, etc. , are usually modelled in terms of operators in Euclidean spaces. This monograph deals with the analysis of a number of formal problems involving this kind of operators (with particular reference to complementarity problems and variational inequalities), and their applications to distributive problems and equilibrium models. Thus the purpose of this work is to provide a set of new results on the solvability of those problems, and a number of economic applications that will illustrate the interest of these results in economics. It is worth stressing from the very begining that our analysis concentrates on the existence (and in some cases optimality) of solutions. That is what is meant here by solvability (in particular, nothing will be said with respect to the uniqueness, stability, sensitivity analysis or computation of solutions). The results on the solvability of operator problems presented here, were actually arrived at as a way of solving specific economic models. Yet we are going to relate this case by somehow reversing the way it happened, that is, starting with the formal results and then presenting a number of economic models which appear as applications of VIII these formal results. The rationale for this approach is twofold. First, it provides a neat track via which to go through the whole work. Then, because I would like to emphasize the interest of complementarity and variational inequalities problems in economic modelling.

Variational Inequalities and Network Equilibrium Problems

Variational Inequalities and Network Equilibrium Problems Book
Author : F. Giannessi,A. Maugeri
Publisher : Springer
Release : 2013-06-26
ISBN : 9781489913609
Language : En, Es, Fr & De

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Book Description :

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 between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.

Bulletin of the Korean Mathematical Society

Bulletin of the Korean Mathematical Society Book
Author : Taehan Suhakhoe
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Bulletin of the Korean Mathematical Society book written by Taehan Suhakhoe, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Optimization Theory and Applications Part II

Optimization Theory and Applications  Part II Book
Author : Anonim
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Journal of Nonlinear and Convex Analysis

Journal of Nonlinear and Convex Analysis Book
Author : Anonim
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Stochastic Equilibrium Problems in Economics and Game Theory

Stochastic Equilibrium Problems in Economics and Game Theory Book
Author : I. V. Evstigneev
Publisher : Unknown
Release : 2002
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Stochastic Equilibrium Problems in Economics and Game Theory book written by I. V. Evstigneev, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Panamerican Mathematical Journal

Panamerican Mathematical Journal Book
Author : Anonim
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Analysis and Computation of Equilibria and Regions of Stability with Applications in Chemistry Climatology Ecology and Economics

Analysis and Computation of Equilibria and Regions of Stability  with Applications in Chemistry  Climatology  Ecology  and Economics Book
Author : H. R. Grümm
Publisher : Unknown
Release : 1975
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Analysis and Computation of Equilibria and Regions of Stability with Applications in Chemistry Climatology Ecology and Economics book written by H. R. Grümm, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2003
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Proceedings

Proceedings Book
Author : Anonim
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Journal of analysis and its application

Journal of analysis and its application Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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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 Book
Author : Nils Langenberg
Publisher : Logos Verlag Berlin GmbH
Release : 2011
ISBN : 3832528903
Language : En, Es, Fr & De

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Book Description :

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 e.g. in the framework of Nash equilibrium problems. This motivates the development of convergence results under weaker hypotheses which constitute the major subject of the present book. Studied methods include the Bregman-function-based Proximal Point Algorithm (BPPA), Cohen's Auxiliary Problem Principle and an extragradient algorithm.Moreover, this work also contains the first numerical comparison of stopping criteria in the framework of the BPPA. Although such conditions are the subject of theoretical investigations frequently, their numerical effectiveness and a deducible preference were still unknown. This gives rise to the necessity of the presented numerical experiments.

Computational Methods in Applied Mathematics

Computational Methods in Applied Mathematics Book
Author : Anonim
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Optimization and Control with Applications

Optimization and Control with Applications Book
Author : Liqun Qi,Kok Lay Teo,Xiao Qi Yang
Publisher : Springer Science & Business Media
Release : 2006-03-30
ISBN : 0387242554
Language : En, Es, Fr & De

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Book Description :

A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.