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Author : Michael J. Todd
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (63 download)
Download or read book Existence and computation of economic equilibria written by Michael J. Todd and published by . This book was released on 1977 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. van der Laan
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (654 download)
Download or read book On the Existence and Computation of an Equilibrium in an Economy with Constant Returns to Scale Production written by G. van der Laan and published by . This book was released on 1991 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charalambos D. Aliprantis
Publisher : Springer Science & Business Media
ISBN 13 : 3662218933
Total Pages : 294 pages
Book Rating : 4.6/5 (622 download)
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.
Author : Gerard van der Laan
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (661 download)
Download or read book On the Existence and Computation of an Equilibrium in an Economy with Constant Returns to Scale Production written by Gerard van der Laan and published by . This book was released on 1993 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Monique Florenzano
Publisher : Springer Science & Business Media
ISBN 13 : 1475753152
Total Pages : 187 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Paul Arthur Rubin
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (129 download)
Download or read book Existence and Computation of Static Equilibria in Certain Economic Models, with Application to the PIES Model of the Energy Sector written by Paul Arthur Rubin and published by . This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zaifu Yang
Publisher : Springer Science & Business Media
ISBN 13 : 1475748396
Total Pages : 349 pages
Book Rating : 4.4/5 (757 download)
Download or read book Computing Equilibria and Fixed Points written by Zaifu Yang and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).
Author : Ken Urai
Publisher : World Scientific
ISBN 13 : 9812837191
Total Pages : 311 pages
Book Rating : 4.8/5 (128 download)
Download or read book Fixed Points and Economic Equilibria written by Ken Urai and published by World Scientific. This book was released on 2010 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction. 1.1. Mathematics is language. 1.2. Notes on some mathematical tools in this book. 1.3. Basic mathematical concepts and definitions -- 2. Fixed-point theorems. 2.1. Classical results and basic extensions. 2.2. Convexity and duality for general spaces. 2.3. Extension of classical results to general spaces -- 3. Nash equilibrium and abstract economy. 3.1. Multi-agent product settings for games. 3.2. Nash equilibrium. 3.3. Abstract economy -- 4. Gale-Nikaido-Debreu's theorem. 4.1. Gale-Nikaido-Debreu's theorem. 4.2. Market equilibria in general vector spaces. 4.3. Demand-supply coincidence in general spaces -- 5. General economic equilibrium. 5.1. General preferences and basic existence theorems. 5.2. Pareto optimal allocations. 5.3. Existence of general equilibrium -- 6. The C̮ech type homology theory and fixed points. 6.1. Basic concepts in algebraic topology. 6.2. Vietoris-Begle mapping and local connectedness. 6.3. Nikaido's analogue of Sperner's lemma. 6.4. Eilenberg-Montgomery's theorem -- 7. Convex structure and fixed-point index. 7.1. Lefschetz's fixed-point theorem and its extensions. 7.2. Cohomology theory for general spaces. 7.3. Dual-system structure and differentiability. 7.4. Linear Approximation for Isolated Fixed Points. 7.5. Indices for compact set of fixed points -- 8. Applications to related topics. 8.1. KKM, KKMS, and core existence. 8.2. Eaves' theorem. 8.3. Fan-Browder's coincidence theorem. 8.4. L-majorized mappings. 8.5. Variational inequality problem. 8.6. Equilibrium with cooperative concepts. 8.7. System of inequalities and affine transformations -- 9. Mathematics and social science. 9.1. Basic concepts in axiomatic set theory. 9.2. Individuals and rationality. 9.3. Society and values -- 10. Concluding discussions. 10.1. Fixed points and economic equilibria. 10.2. Rationality and fixed-point views of the world
Author : James G. MacKinnon
Publisher : Kingston, Ont. : Queen's University
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (773 download)
Download or read book The Existence and Computation of Equilibria with Increasing Returns and Externalities written by James G. MacKinnon and published by Kingston, Ont. : Queen's University. This book was released on 1976 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.L. Makarov
Publisher : Springer Science & Business Media
ISBN 13 : 1461298865
Total Pages : 268 pages
Book Rating : 4.4/5 (612 download)
Download or read book Mathematical Theory of Economic Dynamics and Equilibria written by V.L. Makarov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathemati cal economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a trajectory, i.e., a sequence of elements of the phase space that describe admissible (possible) development of the economy. From all trajectories, we select those that are" desirable," i.e., optimal in terms of a certain criterion. The apparatus of point-set maps is the appropriate tool for the analysis of these models. The topological aspects of these maps (particularly, the Kakutani fixed-point theorem) are used to study equilibrium models as well as n-person games. To study dynamic models we use a special class of maps which, in this book, are called superlinear maps. The theory of superlinear point-set maps is, obviously, of interest in its own right. This theory is described in the first chapter. Chapters 2-4 are devoted to models of economic dynamics and present a detailed study of the properties of optimal trajectories. These properties are described in terms of theorems on characteristics (on the existence of dual prices) and turnpike theorems (theorems on asymptotic trajectories). In Chapter 5, we state and study a model of economic equilibrium. The basic idea is to establish a theorem about the existence of an equilibrium state for the Arrow-Debreu model and a certain generalization of it.
Author : Gerard van der Laan
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (249 download)
Download or read book On the Existence and Computation of an Equilibrium in an Economy with Constant Returns to Scale Production written by Gerard van der Laan and published by . This book was released on 1992 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. D. A. Bryant
Publisher : World Scientific
ISBN 13 : 9812818359
Total Pages : 492 pages
Book Rating : 4.8/5 (128 download)
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."
Author : Partha Dasgupta
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (31 download)
Download or read book The Existence of Economic Equilibria written by Partha Dasgupta and published by . This book was released on 1977 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. B. Garcia
Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (5 download)
Download or read book On the Existence of an Economic Equilibrium in an Abstract Economy written by C. B. Garcia and published by . This book was released on 1975 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tamer Başar
Publisher : Springer Science & Business Media
ISBN 13 : 3642616364
Total Pages : 299 pages
Book Rating : 4.6/5 (426 download)
Download or read book Dynamic Games and Applications in Economics written by Tamer Başar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eleven articles which deal with different aspects of dynaoic and differential game theory and its applications in economic modeling and decision making. All but one of these were presented as invited papers in special sessions I organized at the 7th Annual Conference on Economic Dynamics and Control in London, England, during the period June 26-28, 1985. The first article, which comprises Chapter 1, provides a general introduction to the topic of dynamic and differential game theory, discusses various noncooperative equilibrium solution concepts, includ ing Nash, Stackelberg, and Consistent Conjectural Variations equilibria, and a number of issues such as feedback and time-consistency. The second chapter deals with the role of information in Nash equilibria and the role of leadership in Stackelberg problems. A special type of a Stackelberg problem is the one in which one dominant player (leader) acquires dynamic information involving the actions of the others (followers), and constructs policies (so-called incentives) which enforce a certain type of behavior on the followers; Chapter 3 deals with such a class of problems and presents some new theoretical results on the existence of affine incentive policies. The topic of Chapter 4 is the computation of equilibria in discounted stochastic dynamic games. Here, for problems with finite state and decision spaces, existing algorithms are reviewed, with a comparative study of their speeds of convergence, and a new algorithm for the computation of nonzero-sum game equilibria is presented.
Author : Trout Rader
Publisher : Academic Press
ISBN 13 : 1483268926
Total Pages : 383 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory of General Economic Equilibrium written by Trout Rader and published by Academic Press. This book was released on 2014-05-10 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of General Economic Equilibrium provides information pertinent to the general economic equilibrium theory. This book covers a variety of topics, including efficiency, economic systems analysis, welfare economics, and international trade. Organized into three parts encompassing eight chapters, this book begins with an overview of the theory of efficient production and growth where consumer preferences play a subordinate role. This text then examines that for the case where preferences satisfy appropriate conditions, efficiency theory is superseded as normative analysis by optimality theory. Other chapters consider the optimization of consumer preferences that leads to the decline of many families. This book discusses as well the existence of equilibrium, which is of importance to both normative and positive economics. The final chapter deals with the question of the speed with which the economic system attains its equilibrium state, which is assumed to be stationary. This book is a valuable resource for professional economists and advanced graduate students in economics.
Author : Donald Brown
Publisher : Springer Science & Business Media
ISBN 13 : 3540765913
Total Pages : 204 pages
Book Rating : 4.5/5 (47 download)
Download or read book Computational Aspects of General Equilibrium Theory written by Donald Brown and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general equilibrium methodology for microeconomic policy analysis. It is intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu`s Theory of Value (1959) or Arrow and Hahn`s General Competitive Analysis (1971). The monograph consists of several essays written over the last decade. It also contains an appendix by Charles Steinhorn on the elements of O-minimal structures.
