Download Equilibrium Problems and Applications Ebook PDF

Equilibrium Problems and Applications

Equilibrium Problems and Applications
A Book

by Gábor Kassay,Vicențiu Rădulescu

  • Publisher : Academic Press
  • Release : 2018-10-09
  • Pages : 440
  • ISBN : 0128110309
  • Language : En, Es, Fr & De
GET BOOK

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
A Book

by Steven S. Zumdahl

  • Publisher : Brooks/Cole Publishing Company
  • Release : 1989
  • Pages : 199
  • ISBN : 9780669167184
  • Language : En, Es, Fr & De
GET BOOK

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models
A Book

by F. Giannessi,A. Maugeri,Panos M. Pardalos

  • Publisher : Springer Science & Business Media
  • Release : 2006-04-11
  • Pages : 304
  • ISBN : 0306480263
  • Language : En, Es, Fr & De
GET BOOK

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
A Variational Inequality Approach

by Anna Nagurney

  • Publisher : Springer Science & Business Media
  • Release : 2013-03-09
  • Pages : 416
  • ISBN : 1475730055
  • Language : En, Es, Fr & De
GET BOOK

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.

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Operator Theorems with Applications to Distributive Problems and Equilibrium Models
A Book

by Antonio Villar

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 160
  • ISBN : 3642457118
  • Language : En, Es, Fr & De
GET BOOK

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
A Book

by F. Giannessi,A. Maugeri

  • Publisher : Springer
  • Release : 2013-06-26
  • Pages : 305
  • ISBN : 9781489913609
  • Language : En, Es, Fr & De
GET BOOK

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
A Book

by Taehan Suhakhoe

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Optimization Theory and Applications, Part II

Optimization Theory and Applications, Part II
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2005
  • Pages : 330
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Journal of Nonlinear and Convex Analysis

Journal of Nonlinear and Convex Analysis
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Stochastic Equilibrium Problems in Economics and Game Theory

Stochastic Equilibrium Problems in Economics and Game Theory
A Book

by I. V. Evstigneev

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 280
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Panamerican Mathematical Journal

Panamerican Mathematical Journal
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

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
Record of a Workshop, July 21-August 1, 1975

by H. R. Grümm

  • Publisher : Unknown Publisher
  • Release : 1975
  • Pages : 283
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2003
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Proceedings

Proceedings
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2005
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Journal of analysis and its application

Journal of analysis and its application
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

The Principles of Chemical Equilibrium

The Principles of Chemical Equilibrium
With Applications in Chemistry and Chemical Engineering

by K. G. Denbigh,Kenneth George Denbigh

  • Publisher : Cambridge University Press
  • Release : 1981-03-26
  • Pages : 494
  • ISBN : 9780521281508
  • Language : En, Es, Fr & De
GET BOOK

Sample Text

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
Applications to the Nash Equilibrium Problem

by Nils Langenberg

  • Publisher : Logos Verlag Berlin GmbH
  • Release : 2011
  • Pages : 256
  • ISBN : 3832528903
  • Language : En, Es, Fr & De
GET BOOK

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
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
GET BOOK

Pareto Optimality, Game Theory and Equilibria

Pareto Optimality, Game Theory and Equilibria
A Book

by Panos M. Pardalos,A. Migdalas,Leonidas Pitsoulis

  • Publisher : Springer Science & Business Media
  • Release : 2008-07-02
  • Pages : 865
  • ISBN : 0387772472
  • Language : En, Es, Fr & De
GET BOOK

This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.

Optimization and Control with Applications

Optimization and Control with Applications
A Book

by Liqun Qi,Kok Lay Teo,Xiao Qi Yang

  • Publisher : Springer Science & Business Media
  • Release : 2006-03-30
  • Pages : 562
  • ISBN : 0387242554
  • Language : En, Es, Fr & De
GET BOOK

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.