Download or read book Equilibrium Theory in Infinite Dimensional Spaces written by M. Ali Khan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Apart from the underlying theme that all the contributions to this volume pertain to models set in an infinite dimensional space, they differ on many counts. Some were written in the early seventies while others are reports of ongoing research done especially with this volume in mind. Some are surveys of material that can, at least at this point in time, be deemed to have attained a satisfactory solution of the problem, while oth ers represent initial forays into an original and novel formulation. Some furnish alternative proofs of known, and by now, classical results, while others can be seen as groping towards and exploring formulations that have not yet reached a definitive form. The subject matter also has a wide leeway, ranging from solution concepts for economies to those for games and also including representation of preferences and discussion of purely mathematical problems, all within the rubric of choice variables belonging to an infinite dimensional space, interpreted as a commodity space or as a strategy space. Thus, this is a collective enterprise in a fairly wide sense of the term and one with the diversity of which we have interfered as little as possible. Our motivation for bringing all of this work under one set of covers was severalfold.
Download or read book Paul A Samuelson written by John Cunningham Wood and published by Taylor & Francis. This book was released on 2005 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Samuelson is a key figure in economic thinking. This gathers the essential assessments of this important economist, and provides an unparalleled insight into his lasting impact on economics.
Download or read book Problems in Equilibrium Theory written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to teach the basic methods of proof and problem solving in General Equilibrium Theory at graduate level. The problems cover the entire spectrum of difficulty: some are routine, while others require a good grasp of the material involved, and some are even challenging. In searching for the basic required techniques, students will discover a wealth of new material, and are encouraged to arrive at solutions different from the ones presented in the book. Complete solutions to two hundred problems are provided.
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:
Download or read book Competitive Equilibrium written by Bryan Ellickson and published by Cambridge University Press. This book was released on 1993 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of general equilibrium theory represents one of the greatest advances in economic analysis in the latter half of the twentieth century. This book, intended for advanced undergraduates and graduate students, provides a broad introduction to competitive equilibrium analysis with an emphasis on concrete applications. The first three chapters are introductory in nature, paving the way for the more advanced second half of the book. Relative to the competition, it is much more 'user friendly' while offering exceptionally broad coverage of topics. Well-designed and interesting applications help to make potentially abstract material more accessible. The book includes 92 illustrations and nearly 200 exercises.
Download or read book Existence and Optimality of Competitive Equilibria written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in (13], [23] or [52] may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Download or read book General Equilibrium written by Frank Hahn and published by Routledge. This book was released on 2003-09-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years certain leading figures in the world of economics have called the usefulness of general equilibrium theory into question. This superb new book brings together leading economic theorists with important contributions to the ongoing debate. General equilibrium theorists including Michio Morishima, Michael Magill and Martine Quinzii debate strengths, weaknesses and possible futures with leading thinkers such as Herb Gintis, Pierangelo Garegnani and Duncan Foley, who seek to explain the rejection of general equilibrium. Uniquely, none of the contributors portray general equilibrium theory as the perfect guide to market economies actual behaviour, but rather illustrate that there is insufficient acquaintance with existing alternatives and that general equilibrium theory is often used as an ideal 'benchmark'.
Download or read book Fundamentals Of General Equilibrium Analysis written by Takashi Suzuki and published by World Scientific. This book was released on 2020-09-03 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to incorporate Marshallian ideas such as external increasing returns and monopolistic competitions into the general equilibrium framework of Walrasian tradition. New chapters and sections have been added to this revised and expanded edition of General Equilibrium Analysis of Production and Increasing Returns (World Scientific, 2009).The new material includes a presentation of equilibrium existence and core equivalence theorems for an infinite horizon economy with a measure space of consumers. These results are currently the focus of extensive studies by mathematical theorists, and are obtained by an application of an advanced mathematical concept called saturated (super-atomless) measure space.The second major change is the inclusion of a simple toy model of a liberal society which implements the difference principle proposed by J Rawls as a principle of distributive justice. This new section opens up a possibility to connect theoretical economics and political philosophy.Thirdly, the author presents the marginal cost pricing equilibrium and discusses welfare properties of the external increasing returns, which also belong to Marshall/ Pigou tradition of the Cambridge school.Finally, a new mathematical appendix treats basics of singular homology theory. Although the fixed point theorem is originally a theorem of algebraic topology, most economic students know its proof only in the context of the differentiable manifold theory presented by J Milnor. Considering the significance of the fixed point theorem and its playing a key role in general equilibrium theory, the purpose of this new appendix is to provide readers with the idea of a proof of Brower's fixed point theorem from the 'right place'.This volume will be helpful for graduate students and researchers of mathematical economics, game theory, and microeconomics.
Download or read book Equilibrium and Dynamics written by Mukul Majumdar and published by Springer. This book was released on 1992-06-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last 40 years, Professor David Gale has played a leading role in developing two themes of fundamental importance to economic theory. As a tribute to his creative research, this volume contains contributions from some leading researchers who explore different directions in these areas.
Download or read book General Equilibrium Analysis written by Monique Florenzano and published by Springer Science & Business Media. This book was released on 2003-08-31 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Equilibrium Analysis is a systematic exposition of the Walrasian model of economic equilibrium with a finite number of agents, as formalized by Arrow, Debreu and McKenzie at the beginning of the fifties and since then extensively used, worked and studied. Existence and optimality of general equilibrium are developed repeatedly under different sets of hypothesis which define some general settings and delineate different approaches to the general equilibrium existence problem. The final chapter is devoted to the extension of the general equilibrium model to economies defined on an infinite dimensional commodity space. The objective of General Equilibrium Analysis is to give to each problem in each framework the most general solution, at least for the present state of art. The intended readers are graduate students, specialists and researchers in economics, especially in mathematical economics. The book is appropriate as a class text, or for self-study.
Download or read book Production Equilibria in Locally Proper Economies with Unbounded and Unordered Consumers written by Rabee Tourky and published by . This book was released on 1997 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Equilibrium Trade and Growth written by Lionel W. McKenzie and published by MIT Press. This book was released on 2009 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of papers by a pioneer in neoclassical economics that traces the development of his thought in three crucial areas.
Download or read book Theory Of General Economic Equilibrium written by Hans Keiding and published by World Scientific. This book was released on 2020-05-26 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to general equilibrium theory, covering the standard topics as well as the developments of the theory over the past fifty years. This ensures that the reader gains a thorough account of what has been established both in pure theory and in applications.In addition to the basic topics, this book elaborates on fields which are relevant but not mentioned frequently in this context. The material covered includes international trade, growth, finance and implementation, and it offers a broader view than what is usual in texts on general equilibrium theory. This book would make for suitable reading for undergraduate and graduate courses in macroeconomics.
Download or read book Positive Operators Riesz Spaces and Economics written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 16-20, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the week-long conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence.
Download or read book General Equilibrium Growth and Trade II written by Robert Becker and published by Academic Press. This book was released on 2014-05-10 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Equilibrium, Growth, and Trade, Volume II: The Legacy of Lionel McKenzie presents the impact of Lionel McKenzie's contributions on modern economics. This book discusses McKenzie's researches that are relevant in applied economic fields, including general equilibrium, optimal growth, and international trade. Organized into three parts encompassing 24 chapters, this volume begins with an overview of the existence of competitive equilibrium in an economy with a finite number of agents and commodities. This text then presents two analyses that are basically responses to criticism of the development of real indeterminacy. Other chapters consider McKenzie's assumption of irreducibility, which plays a significant role in showing how compensated equilibria will be uncompensated equilibria because agents have cheaper net trade vectors in their feasible sets. This book discusses as well some properties of competitive equilibria for dynamic exchange economies with an infinite horizon and incomplete financial markets. This book is a valuable resource for economists and economic theorists.
Download or read book General Equilibrium and Game Theory written by Andreu Mas-Colell and published by Harvard University Press. This book was released on 2016-01-04 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andreu Mas-Colell revolutionized our understanding of competitive markets, price formation, and the behavior of market participants. This volume presents the papers that solidified his standing as one of the preeminent economic theorists of our time. It also is invaluable for anyone wishing to study the craft of a master of economic modeling.
Download or read book Locally Solid Riesz Spaces with Applications to Economics written by Charalambos D. Aliprantis and published by American Mathematical Soc.. This book was released on 2003 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration. This monograph is the revised edition of the authors' bookLocally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operatorsbetween Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces-- the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties. A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that theexistence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presentscomplete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research.
