Optima And Equilibria

Author : Jean-Pierre Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 3662035391
Total Pages : 442 pages
Book Rating : 4.99/5 ( download)

DOWNLOAD NOW!

Download or read book Optima and Equilibria written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.

Author : Jean-Pierre Aubin
Publisher : Springer
ISBN 13 : 9783662029596
Total Pages : 0 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book Optima and Equilibria written by Jean-Pierre Aubin and published by Springer. This book was released on 1993-05-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: By Way of Warning As in ordinary language, metaphors may be used in mathematics to explain a given phenomenon by associating it with another which is ( or is considered to be) more familiar. It is this sense of familiarity, whether individual or collective, innate or acquired by education, which enables one to convince oneself that one has understood the phenomenon in question. Contrary to popular opinion, mathematics is not simply a richer or more precise language. Mathematical reasoning is a separate faculty possessed by all human brains, just like the ability to compose or listen to music, to paint or look at paintings, to believe in and follow cultural or moral codes, etc. But it is impossible (and dangerous) to compare these various faculties within a hierarchical framework; in particular, one cannot speak of the superiority of the language of mathematics. Naturally, the construction of mathematical metaphors requires the autonomous development of the discipline to provide theories which may be substituted for or associated with the phenomena to be explained. This is the domain of pure mathematics. The construction of the mathematical corpus obeys its own logic, like that of literature, music or art. In all these domains, an aesthetic satisfaction is at once the objective of the creative activity and a signal which enables one to recognise successful works. (Likewise, in all these domains, fashionable phenomena - reflecting social consensus - are used to develop aesthetic criteria).

Author :
Publisher :
ISBN 13 : 9814469181
Total Pages : pages
Book Rating : 4.80/5 ( download)

DOWNLOAD NOW!

Download or read book Fixed Points and Economic Equilibria written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Truman F. Bewley
Publisher : Harvard University Press
ISBN 13 : 0674020928
Total Pages : 615 pages
Book Rating : 4.24/5 ( download)

DOWNLOAD NOW!

Download or read book General Equilibrium, Overlapping Generations Models, and Optimal Growth Theory written by Truman F. Bewley and published by Harvard University Press. This book was released on 2009-07-01 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an original exposition of general equilibrium theory for advanced undergraduate and graduate-level students of economics. It contains detailed discussions of economic efficiency, competitive equilibrium, the first and second welfare theorems, the Kuhn-Tucker approach to general equilibrium, the Arrow-Debreu model, and rational expectations equilibrium and the permanent income hypothesis. Truman Bewley also treats optimal growth and overlapping generations models as special cases of the general equilibrium model. He uses the model and the first and second welfare theorems to explain the main ideas of insurance, capital theory, growth theory, and social security. It enables him to present a unified approach to portions of macro- as well as microeconomic theory. The book contains problems sets for most chapters.

Author : C.D. Aliprantis
Publisher : Springer Science & Business Media
ISBN 13 : 3642516025
Total Pages : 240 pages
Book Rating : 4.23/5 ( download)

DOWNLOAD NOW!

Download or read book Advances in Equilibrium Theory written by C.D. Aliprantis and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Christian Klingenberg
Publisher : Springer
ISBN 13 : 3319915452
Total Pages : 706 pages
Book Rating : 4.56/5 ( download)

DOWNLOAD NOW!

Download or read book Theory, Numerics and Applications of Hyperbolic Problems I written by Christian Klingenberg and published by Springer. This book was released on 2018-06-23 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.

Author : Dean Corbae
Publisher : Princeton University Press
ISBN 13 : 0691118671
Total Pages : 695 pages
Book Rating : 4.73/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Mathematical Analysis for Economic Theory and Econometrics written by Dean Corbae and published by Princeton University Press. This book was released on 2009-03-09 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dean Corbae, Maxwell B.

Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 048646265X
Total Pages : 658 pages
Book Rating : 4.53/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.

Author : Andrea Werneck Richa
Publisher : Springer Nature
ISBN 13 : 3030549216
Total Pages : 388 pages
Book Rating : 4.13/5 ( download)

DOWNLOAD NOW!

Download or read book Structural Information and Communication Complexity written by Andrea Werneck Richa and published by Springer Nature. This book was released on 2020-07-29 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 27th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2020, held in Paderborn, Germany, in June 2020.* The 19 full papers and 2 invited papers presented in this book were carefully reviewed and selected from 41 submissions. They are divided into seven sections, i.e. invited papers; mobile robots; dynamic graphs; network communication; multi-agent systems; communication complexity; and game theory. * The conference was held virtually due to the COVID-19 pandemic.

Author : Yves Balasko
Publisher : World Scientific
ISBN 13 : 9814651729
Total Pages : 280 pages
Book Rating : 4.21/5 ( download)

DOWNLOAD NOW!

Download or read book Foundations of the Theory of General Equilibrium written by Yves Balasko and published by World Scientific. This book was released on 2016-05-11 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economic theory of general equilibrium underpins the most important models used in economic theory in general and in its more specialized areas such as macroeconomics, international trade, environmental economics, growth theory, and developmental economics. In Foundations of the Theory of General Equilibrium, leading academic scholar, Yves Balasko offers a good introduction to the economic theory of general equilibrium and makes use of various mathematical tools as intuitive and easy as possible. The second half of the book addresses properties of the general equilibrium model that are still at the frontier of current research. These properties deal with the characterization of economies with a unique equilibrium and, more generally, with the relationships between the number of equilibria and the fundamentals of an economy. Contents:The Exchange ModelA Simple Linear Version of the Exchange ModelThe Exchange Model with Two Goods and Two ConsumersConsumer TheoryThe Equilibrium ManifoldThe Natural ProjectionEquilibrium Analysis for Fixed Total ResourcesThe Natural Projection and Envelope TheoryA Duality TheorySeveral Extensions of the General Equilibrium Model Readership: Graduate students in mathematics who want to specialize in economics and mathematical economics; researchers and professionals who will find in this book a detailed account of some of the most current developments of a difficult but essential theory.