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Optima And Equilibria
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Book Synopsis Optima and Equilibria by : Jean-Pierre Aubin
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.
Book Synopsis Optima and Equilibria by : Jean-Pierre Aubin
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).
Book Synopsis Fixed Points and Economic Equilibria by :
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:
Book Synopsis General Equilibrium, Overlapping Generations Models, and Optimal Growth Theory by : Truman F. Bewley
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.
Book Synopsis Advances in Equilibrium Theory by : C.D. Aliprantis
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:
Book Synopsis Theory, Numerics and Applications of Hyperbolic Problems I by : Christian Klingenberg
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.
Book Synopsis An Introduction to Mathematical Analysis for Economic Theory and Econometrics by : Dean Corbae
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.
Book Synopsis Mathematical Methods of Game and Economic Theory by : Jean-Pierre Aubin
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.
Book Synopsis Structural Information and Communication Complexity by : Andrea Werneck Richa
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.
Book Synopsis Foundations of the Theory of General Equilibrium by : Yves Balasko
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.
Book Synopsis On Pareto Optima and Competitive Equilibria by : James C. Moore
Download or read book On Pareto Optima and Competitive Equilibria written by James C. Moore and published by . This book was released on 1970 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Collected Scientific Work of David Cass by : Stephen E. Spear
Download or read book The Collected Scientific Work of David Cass written by Stephen E. Spear and published by Emerald Group Publishing. This book was released on 2011-01-27 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the period from the middle 1980's through the end of David Cass' life in 2008.
Book Synopsis General Equilibrium by : W. D. A. Bryant
Download or read book General Equilibrium written by W. D. A. Bryant and published by World Scientific. This book was released on 2010 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Equilibrium Theory studies the properties and operation of free market economies. The field is a response to a series of questions originally outlined by Leon Walras about the operation of markets and posed by Frank Hahn in the following way: OCyDoes the pursuit of private interest, through a system of interconnected deregulated markets, lead not to chaos but to coherence OCo and if so, how is that achieved?OCO This is always an apt question, but particularly so given the OCyGlobal Financial CrisisOCO that emerged from the operation of market economies in the Americas and Europe in mid to late 2008. The answer that General Equilibrium Theory provides to the Walras-Hahn question is that, under certain conditions coherence is possible, while under certain other conditions chaos, in various forms, is likely to prevail. The conditionality of either outcome is not always well understood OCo neither by proponents of, or antagonists to, the OCyfree market positionOCO. Consequently, this book attempts to show something of what General Equilibrium Theory has to say about the wisdom or otherwise of always relying on OCymarket forcesOCO to manage complex socio-economic systems. Sample Chapter(s). Chapter 1: General Equilibrium Theory: An Overview (138 KB). Contents: General Equilibrium Theory: An Overview; Existence of Equilibrium: Sufficient Conditions; Existence of Equilibrium: Necessary Conditions; Equilibrium and Irreducibility: Some Empirical Evidence; Existence of Equilibrium Under Alternative Income Conditions; Existence of Walrasian Equilibrium in Some NonOCoArrow-Debreu Environments; Uniqueness of Equilibrium; Stability of Equilibrium; Optimality of Equilibrium; Comparative Statics of Equilibrium States; Empirical Evidence on General Equilibrium; General Equilibrium Theory in Retrospect. Readership: Advanced undergraduates and graduate students in economics; economists interested in economic theory."
Download or read book General Equilibrium written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fiscal Policies in a General Equilibrium Model with Persistent Unemployment by : H.H. Müller
Download or read book Fiscal Policies in a General Equilibrium Model with Persistent Unemployment written by H.H. Müller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work was written during my visits at CORE (Belgium), at the Faculty of Economics and Politics in Cambridge (England), and at the Department of Mathematics at the ETH in ZUrich. I wish to thank J.H. Dr~ze (CORE) for most help ful suggestions, and I am indebted to H. BUhlmann (ETH) for his advice and for encouragement. The comments by M. Granzio1, M. Janssen and by anonymous referees were very useful. However, I assume the responsibility for remaining errors. I am grateful to R. Boller, I. Lather and M. Urfer for their careful typing of the manuscript. Support by the SWiss National Science Foundation is acknowledged. An earlier version of this work was presented at the European Meeting of the Econometric Society 1981 in Amsterdam. In 1981 it was accepted as a "Habi1itations schrift" in Mathematical Economics by the Department of Mathematics at the ETH in ZUrich. CONTENTS Introduction 1 Part I: The General Model 8 1.1. Formulation of the General Model 8 1.1.1. General Properties 8 1.1.2. The Consumer 10 1.1.3. The Producer 14 1.1.4. The Public Sector 16 Equilibrium 1.2.
Book Synopsis The Equilibrium Manifold by : Yves Balasko
Download or read book The Equilibrium Manifold written by Yves Balasko and published by MIT Press. This book was released on 2009-04-17 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A leading scholar in the field presents post-1970s developments in the theory of general equilibrium, unified by the concept of equilibrium manifold. In The Equilibrium Manifold, noted economic scholar and major contributor to the theory of general equilibrium Yves Balasko argues that, contrary to what many textbooks want readers to believe, the study of the general equilibrium model did not end with the existence and welfare theorems of the 1950s. These developments, which characterize the modern phase of the theory of general equilibrium, led to what Balasko calls the postmodern phase, marked by the reintroduction of differentiability assumptions and the application of the methods of differential topology to the study of the equilibrium equation. Balasko's rigorous study demonstrates the central role played by the equilibrium manifold in understanding the properties of the Arrow-Debreu model and its extensions. Balasko argues that the tools of differential topology articulated around the concept of equilibrium manifold offer powerful methods for studying economically important issues, from existence and uniqueness to business cycles and economic fluctuations. After an examination of the theory of general equilibrium's evolution in the hundred years between Walras and Arrow-Debreu, Balasko discusses the properties of the equilibrium manifold and the natural projection. He highlights the important role of the set of no-trade equilibria, the structure of which is applied to the global structure of the equilibrium manifold. He also develops a geometric approach to the study of the equilibrium manifold. Applications include stability issues of adjustment dynamics for out-of-equilibrium prices, the introduction of price-dependent preferences, and aspects of time and uncertainty in extensions of the general equilibrium model that account for various forms of market frictions and imperfections. Special effort has been made at reducing the mathematical technicalities without compromising rigor. The Equilibrium Manifold makes clear the ways in which the postmodern” developments of the Arrow-Debreu model improve our understanding of modern market economies.
Book Synopsis Decision and Game Theory for Security by : Quanyan Zhu
Download or read book Decision and Game Theory for Security written by Quanyan Zhu and published by Springer Nature. This book was released on 2020-12-21 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Decision and Game Theory for Security, GameSec 2020,held in College Park, MD, USA, in October 2020. Due to COVID-19 pandemic the conference was held virtually The 21 full papers presented together with 2 short papers were carefully reviewed and selected from 29 submissions. The papers focus on machine learning and security; cyber deception; cyber-physical systems security; security of network systems; theoretic foundations of security games; emerging topics.
