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Game Theoretic Methods In General Equilibrium Analysis
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Book Synopsis Game-Theoretic Methods in General Equilibrium Analysis by : J.F. Mertens
Download or read book Game-Theoretic Methods in General Equilibrium Analysis written by J.F. Mertens and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: JEAN-FRANQOIS MERTENS This book presents a systematic exposition of the use of game theoretic methods in general equilibrium analysis. Clearly the first such use was by Arrow and Debreu, with the "birth" of general equi librium theory itself, in using Nash's existence theorem (or a generalization) to prove the existence of a competitive equilibrium. But this use appeared possibly to be merely tech nical, borrowing some tools for proving a theorem. This book stresses the later contributions, were game theoretic concepts were used as such, to explain various aspects of the general equilibrium model. But clearly, each of those later approaches also provides per sea game theoretic proof of the existence of competitive equilibrium. Part A deals with the first such approach: the equality between the set of competitive equilibria of a perfectly competitive (i.e., every trader has negligible market power) economy and the core of the corresponding cooperative game.
Book Synopsis General Equilibrium and Game Theory by : Andreu Mas-Colell
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.
Book Synopsis Game Theoretic Analysis by : Leon A Petrosyan
Download or read book Game Theoretic Analysis written by Leon A Petrosyan and published by World Scientific. This book was released on 2019-10-14 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts.Part 1: Non-cooperative Games and Equilibrium AnalysisIn game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called 'coalitions') are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field.Part 2: Cooperative Games and Axiomatic ValuesIt is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.
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 A General Theory of Equilibrium Selection in Games by : John C. Harsanyi
Download or read book A General Theory of Equilibrium Selection in Games written by John C. Harsanyi and published by Mit Press. This book was released on 1988 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Game Theory and Economic Modelling by : David M. Kreps
Download or read book Game Theory and Economic Modelling written by David M. Kreps and published by Clarendon Press. This book was released on 1990-10-04 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades, academic economics has undergone a mild revolution in methodology. The language, concepts and techniques of noncooperative game theory have become central to the discipline. This book provides the reader with some basic concepts from noncooperative theory, and then goes on to explore the strengths, weaknesses, and future of the theory as a tool of economic modelling and analysis. The central theses are that noncooperative game theory has been a remarkably popular tool in economics over the past decade because it allows analysts to capture essential features of dynamic competition and competition where some parties have proprietary information. The theory is weakest in providing a sense of when it - and equilibrium analysis in particular - can be applied and what to do when equilibrium analysis is inappropriate. Many of these weaknesses can be addressed by the consideration of individuals who are boundedly rational and learn imperfectly from the past. Written in a non-technical style and working by analogy, the book, first given as part of the Clarendon Lectures in Economics, is readily accessible to a broad audience and will be of interest to economists and students alike. Knowledge of game theory is not required as the concepts are developed as the book progresses.
Book Synopsis Fundamentals Of General Equilibrium Analysis by : Takashi Suzuki
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.
Book Synopsis Game Equilibrium Models II by : Reinhard Selten
Download or read book Game Equilibrium Models II written by Reinhard Selten and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume II Methods, Morals and Markets contains areas of research which will attract the interest of economists, political scientists, mathematicians and philosophers. The papers deal with the methodology of analysis of games, game theoretic contributions to fundamental ethical questions facing societies and game-theoretic analyses of market environments.
Book Synopsis Strategic Foundations of General Equilibrium by : Douglas Gale
Download or read book Strategic Foundations of General Equilibrium written by Douglas Gale and published by Cambridge University Press. This book was released on 2000-08-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of competition has held a central place in economic analysis since Adam Smith. This book, written by one of the most distinguished of contemporary economic theorists, reports on a major research program to provide strategic foundations for the theory of perfect competition. Beginning with a concise survey of how the theory of competition has evolved, Gale makes extensive and rigorous use of dynamic matching and bargaining models to provide a more complete description of how a competitive equlibrium is achieved. Whereas economists have made use of a macroscopic description of markets in which certain behavioral characteristics, such as price-taking behavior, are taken for granted, Gale uses game theory to re-evaluate this assumption, beginning with individual agents and modelling their strategic interaction. A strategic foundation for competitive equilibrium shows how such interaction leads to competitive, price-taking behavior. Essential reading for graduate courses in game theory and general equilibrium.
Book Synopsis Game Theoretic Analysis by : Leon Aganesovich Petrosi︠a︡n
Download or read book Game Theoretic Analysis written by Leon Aganesovich Petrosi︠a︡n and published by . This book was released on 2019 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts. Part 1: Non-cooperative Games and Equilibrium Analysis: In game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called "coalitions") are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field. Part 2: Cooperative Games and Axiomatic Values: It is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field."--
Book Synopsis Quantal Response Equilibrium by : Jacob K. Goeree
Download or read book Quantal Response Equilibrium written by Jacob K. Goeree and published by Princeton University Press. This book was released on 2016-06-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantal Response Equilibrium presents a stochastic theory of games that unites probabilistic choice models developed in psychology and statistics with the Nash equilibrium approach of classical game theory. Nash equilibrium assumes precise and perfect decision making in games, but human behavior is inherently stochastic and people realize that the behavior of others is not perfectly predictable. In contrast, QRE models choice behavior as probabilistic and extends classical game theory into a more realistic and useful framework with broad applications for economics, political science, management, and other social sciences. Quantal Response Equilibrium spans the range from basic theoretical foundations to examples of how the principles yield useful predictions and insights in strategic settings, including voting, bargaining, auctions, public goods provision, and more. The approach provides a natural framework for estimating the effects of behavioral factors like altruism, reciprocity, risk aversion, judgment fallacies, and impatience. New theoretical results push the frontiers of models that include heterogeneity, learning, and well-specified behavioral modifications of rational choice and rational expectations. The empirical relevance of the theory is enhanced by discussion of data from controlled laboratory experiments, along with a detailed users' guide for estimation techniques. Quantal Response Equilibrium makes pioneering game-theoretic methods and interdisciplinary applications available to a wide audience.
Book Synopsis Game Theory for Economic Analysis by : Tatsuro Ichiishi
Download or read book Game Theory for Economic Analysis written by Tatsuro Ichiishi and published by Elsevier. This book was released on 2014-06-28 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory for Economic Analysis
Book Synopsis Strategic Foundations of General Equilibrium by : Douglas Gale
Download or read book Strategic Foundations of General Equilibrium written by Douglas Gale and published by Cambridge University Press. This book was released on 2000-08-28 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of competition has held a central place in economic analysis since the time of Adam Smith. This book, written by one of the most distinguished of contemporary economic theorists, reports on a major research program to provide strategic foundations for the theory of competition. Making use of insights from game theory, search theory and bargaining theory, the author develops a model to explain what actually goes on in markets and how a competitive general equilibrium is achieved. Essential reading for graduate courses in game theory and general equilibrium.
Book Synopsis The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics by : Mindia E. Salukvadze
Download or read book The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics written by Mindia E. Salukvadze and published by Springer Nature. This book was released on 2020-02-18 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated? The Golden Rule of ethics, which appears in Christianity, Judaism, Islam, Buddhism, Confucianism and other world religions, states the following: “Behave towards others as you would like them to behave towards you." In any game, each party of conflict seeks to maximize some payoff. Therefore, for each player, the Golden Rule is implemented through the maximization of his/her payoff by all other players, which matches well with the concept of the Berge equilibrium. The approach presented here will be of particular interest to researchers (including undergraduates and graduates) and economists focused on decision-making under complex conflict conditions. The peaceful resolution of conflicts is the cornerstone of the approach: as a matter of fact, the Golden Rule precludes military clashes and violence. In turn, the new approach requires new methods; in particular, the existence problems are reduced to saddle point design for the Germeier convolution of payoff functions, with further transition to mixed strategies in accordance with the standard procedure employed by E. Borel, J. von Neumann, J. Nash, and their followers. Moreover, this new approach has proven to be efficient and fruitful with regard to a range of other important problems in mathematical game theory, which are considered in the Appendix.
Book Synopsis Computational Aspects of General Equilibrium Theory by : Donald Brown
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.
Book Synopsis Collected Papers by : Robert J. Aumann
Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.
Author :Kolokoltsov Vasily N Publisher :World Scientific Publishing Company ISBN 13 :981310774X Total Pages :300 pages Book Rating :4.8/5 (131 download)
Book Synopsis Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation by : Kolokoltsov Vasily N
Download or read book Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation written by Kolokoltsov Vasily N and published by World Scientific Publishing Company. This book was released on 2010-01-20 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen.Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.
