Equilibrium Models and Variational Inequalities

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Release : 2007-02-08
Genre : Mathematics
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Book Rating : 382/5 ( reviews)

Equilibrium Models and Variational Inequalities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equilibrium Models and Variational Inequalities write by Igor Konnov. This book was released on 2007-02-08. Equilibrium Models and Variational Inequalities available in PDF, EPUB and Kindle. 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 the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field- Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models- Covers the basics of theory and solution methods both for the complementarity and variational inequality problems- The methods are illustrated by applications and exercises to economic equilibrium models

Variational Inequalities and Network Equilibrium Problems

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Release : 2013-06-29
Genre : Social Science
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Book Rating : 580/5 ( reviews)

Variational Inequalities and Network Equilibrium Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Inequalities and Network Equilibrium Problems write by F. Giannessi. This book was released on 2013-06-29. Variational Inequalities and Network Equilibrium Problems available in PDF, EPUB and Kindle. 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.

Equilibrium Problems and Variational Models

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 390/5 ( reviews)

Equilibrium Problems and Variational Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equilibrium Problems and Variational Models write by P. Daniele. This book was released on 2013-12-01. Equilibrium Problems and Variational Models available in PDF, EPUB and Kindle. 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.

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

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Release : 2006-04-11
Genre : Mathematics
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Book Rating : 263/5 ( reviews)

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models write by F. Giannessi. This book was released on 2006-04-11. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models available in PDF, EPUB and Kindle. 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

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Release : 2013-03-09
Genre : Business & Economics
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Book Rating : 055/5 ( reviews)

Network Economics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Network Economics write by Anna Nagurney. This book was released on 2013-03-09. Network Economics available in PDF, EPUB and Kindle. 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.