Download or read book Production Equilibria in Vector Lattices written by Monique Florenzano and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Limit Theorem on the Core of a Production Economy in Vector Lattices written by Rabee Tourky and published by . This book was released on 1997 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Production Equilibria in Vector Lattices with Unordered Preferences written by Valeri M. Marakulin and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Limit Theorem on the Core of a Production Economy in Vector Lattices with Unordered Preferences written by Rabee Tourky and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We prove Aliprantis, Brown, and Burkinshaw's (1987) theorem on the equivalence of Edgeworth production equilibria and pseudo-equilibria in a more general setting. We consider production economies with unordered preferences and general consumption sets in a vector lattice commodity space. We adapt the approach of Mas-Colell and Richard (1991) and prove our theorem by applying a separating hyperplane argument in the space of all allocations. We also generalize Podczeck's (1996) important result on the relationship between continuous and discontinuous equilibrium prices to the case of production.

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 General Equilibrium Analysis written by Monique Florenzano and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 187 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 Equilibria in vector lattices without ordered preferences and without uniform properness written by Konrad Podczeck and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 General Equilibrium Analysis Of Production And Increasing Returns written by Takashi Suzuki and published by World Scientific. This book was released on 2009-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of the general equilibrium (GE) theory has so far been limited to the Walrasian tradition. Indeed, the theories of competitive equilibria and the core are nothing but the modern mathematical analysis of the economic ideas due to Walras, Edgeworth and Pareto. Consequently, recent books in this field are inclined to be heavily technical and mathematical.On the other hand, the modern GE theory has not completed the study of increasing returns and monopolistic competition, which belong to the alternative important stream of economic thought, namely the Marshallian tradition. This book aims to fill this gap, by proving the existence of a competitive equilibrium with increasing returns coming from externalities in a dynamic economy and a monopolistically competitive equilibrium with the technologies exhibiting increasing returns coming from a large set-up cost. Also intended as a basic graduate textbook on GE theory, it contains all the basic results and mathematical techniques in this field, such as measure theory, manifold theory and Banach space theory.A unique feature of the book compared to classical monographs on GE is its emphasis on the historical nature of the subject, and not only the mathematical nature. Students are expected to learn that those mathematically formidable techniques are indeed necessary for tackling many economic problems which have been significant not only in the mathematical or technical context, but also in the historical and traditional context./a

Download or read book A New Approach to the Limit Theorem on the Core of an Economy in Vector Lattices written by Rabee Tourky and published by . This book was released on 1997 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Functional Analysis and Economic Theory written by Yuri Abramovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July of 1996, the conference Nonlinear Analysis and its Applications in Engineering and Economics took place on the Greek island of Samos, the birthplace of Pythagoras. During this conference, a special session was held on th the occasion of the 50 birthday of the well known mathematician and math ematical economist Professor Charalambos Aliprantis, who, by his numerous friends, is usually called Roko. The story behind this nickname is not quite clear yet; it will be investigated further and will be made public prior to his th 60 birthday. (At this moment we have already found out that it has nothing to do with the famous movie Rocco and his Brothers even though Roko does have two brothers. ) Roko was born on the Greek island of Cephalonia on May 12,1946, and his elementary and secondary school education took place there. At 18 he entered the Mathematics Department at the University of Athens. Upon graduation from the University of Athens he proceeded with his graduate studies at Cal tech, where in 1973 he completed his Ph. D. degree in Mathematics under the supervision of Professor W. A. J. Luxemburg. His research career can be divided into two periods. The first one, till 1981, was devoted entirely to pure mathematics. The other one, after 1981, has been subdivided between pure mathematics and mathematical economics. The main objects of Roko's work in pure mathematics are spaces with order structure (Riesz spaces) and operators acting on them.

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 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 The Price Equilibrium Existence Problem in Topological Vector Lattices written by Andreu Mas-Colell and published by . This book was released on 1985 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advances in Economic Theory Volume 2 written by Econometric Society. World Congress and published by Cambridge University Press. This book was released on 1992 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the reader a unique survey of the most recent advances in economic theory.

Download or read book MATLAB written by Vasilios Katsikis and published by BoD – Books on Demand. This book was released on 2012-09-26 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book represents the final part of three-volumes regarding MATLAB-based applications in almost every branch of science. The book consists of 19 excellent, insightful articles and the readers will find the results very useful to their work. In particular, the book consists of three parts, the first one is devoted to mathematical methods in the applied sciences by using MATLAB, the second is devoted to MATLAB applications of general interest and the third one discusses MATLAB for educational purposes. This collection of high quality articles, refers to a large range of professional fields and can be used for science as well as for various educational purposes.

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.