General Equilibrium and Game Theory PDF Download

Author: Andreu Mas-Colell
Publisher: Harvard University Press
ISBN: 0674728734
Category : Business & Economics
Languages : en
Pages : 249

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Book Description
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.

Author: Takashi Suzuki
Publisher: World Scientific
ISBN: 981121963X
Category : Business & Economics
Languages : en
Pages : 436

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Book Description
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.

Author: John C. Harsanyi
Publisher: Mit Press
ISBN: 9780262582384
Category : Business & Economics
Languages : en
Pages : 378

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Book Description
The authors, two of the most prominent game theorists of this generation, have devoted a number of years to the development of the theory presented here, and to its economic applications. They propose rational criteria for selecting one particular uniformly perfect equilibrium point as the solution of any noncooperative game. And, because any cooperative game can be remodelled as a noncooperative bargaining game, their theory defines a one-point solution for any cooperative game as well.By providing solutions - based on the same principles of rational behavior - for all classes of games, both cooperative and noncooperative, both those with complete and with incomplete information, Harsanyi and Selten's approach achieves a remarkable degree of theoretical unification for game theory as a whole and provides a deeper insight into the nature of game-theoretic rationality.The book applies this theory to a number of specific game classes, such as unanimity games; bargaining with transaction costs; trade involving one seller and several buyers; two-person bargaining with incomplete information on one side, and on both sides. The last chapter discusses the relationship of the authors' theory to other recently proposed solution concepts, particularly the Kohberg-Mertens stability theory.John C. Harsanyi is Flood Research Professor in Business Administration and Professor of Economics, University of California, Berkeley. Reinhard Selten is Professor of Economics Institute of Social and Economic Sciences: University of Bonn, Federal Republic of Germany.

Author: Andreu Mas-Colell
Publisher: Cambridge University Press
ISBN: 9780521388702
Category : Business & Economics
Languages : en
Pages : 396

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Book Description
This book brings together the author's pioneering work, written over the last twenty years, on the use of differential methods in general equilibrium theory.

Author: Donald Brown
Publisher: Springer Science & Business Media
ISBN: 3540765913
Category : Business & Economics
Languages : en
Pages : 204

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Book Description
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.

Author: Takashi Suzuki
Publisher: World Scientific
ISBN: 9812833323
Category : Business & Economics
Languages : en
Pages : 285

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Book Description
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.

Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658

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Book Description
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: Pierpaolo Battigalli
Publisher: Springer Science & Business Media
ISBN: 1461563372
Category : Business & Economics
Languages : en
Pages : 373

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Book Description
Decisions, Games and Markets is designed to stimulate new developments in decision theory, game theory and general equilibrium theory, as well as in their applications to economics. The book is divided into three parts - Decision Theory, Game Theory, and the Theory of Markets. Though its orientation is primarily methodological, some articles are more applied. The consistent use of formal analysis and methodological individualism constitutes the unifying theme of the book. Decisions, Games and Markets will be of considerable interest to both students and teachers of microeconomics and game and decision theory.

Author: Ross M. Starr
Publisher: Cambridge University Press
ISBN: 9780521564731
Category : Business & Economics
Languages : en
Pages : 280

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Book Description
General Equilibrium Theory: An Introduction treats the classic Arrow-Debreu general equilibrium model in a form accessible to graduate students and advanced undergraduates in economics and mathematics. Topics covered include mathematical preliminaries, households and firms, existence of general equilibrium, Pareto efficiency of general equilibrium, the First and Second Fundamental Theorems of Welfare Economics, the core and core convergences, future markets over time and contingent commodity markets under uncertainty. Demand, supply, and excess demand appear first as (point-valued) functions, then optionally as (set-valued) correspondences. The mathematics presented (with elementary proofs of the theorems) includes a real analysis, the Brouwer fixed point theorem, and separating and supporting hyperplane theorems. Optional chapters introduce the existence of equilibrium with set-valued supply and demand, the mathematics of upper and lower hemicontinuous correspondences, and the Kakutani fixed point theorem. The treatment emphasizes clarity and accessibility to the student through use of examples and intuition.

Author: Gene H Chang
Publisher: World Scientific
ISBN: 9811238995
Category : Business & Economics
Languages : en
Pages : 443

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Book Description
This book adopts a typical textbook approach and format for CGE beginners to learn and master the subject. It explains the economics theory behind the CGE models. The learning proceeds step by step from basic economic theories to advanced topics, from simple to more comprehensive CGE structures along with the corresponding computer programs. Each chapter reviews relevant economic theories; illustrates new material with examples, diagrams and exercises; and provides the mathematical models along with the GAMS computer programing codes. At the end of a chapter, exercises are assigned for practice and enhancing understanding.