General Equilibrium and Game Theory

General Equilibrium and Game Theory
Author: Andreu Mas-Colell
Publisher: Harvard University Press
Total Pages: 249
Release: 2016-01-04
Genre: Business & Economics
ISBN: 0674728734

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.

Game-Theoretic Methods in General Equilibrium Analysis

Game-Theoretic Methods in General Equilibrium Analysis
Author: J.F. Mertens
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2013-04-18
Genre: Business & Economics
ISBN: 9401716560

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.

Strategic Foundations of General Equilibrium

Strategic Foundations of General Equilibrium
Author: Douglas Gale
Publisher: Cambridge University Press
Total Pages: 236
Release: 2000-08-15
Genre: Business & Economics
ISBN: 9780521644105

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.

Decisions, Games and Markets

Decisions, Games and Markets
Author: Pierpaolo Battigalli
Publisher: Springer Science & Business Media
Total Pages: 373
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461563372

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.

Game Theory

Game Theory
Author: Source Wikipedia
Publisher: University-Press.org
Total Pages: 244
Release: 2013-09
Genre:
ISBN: 9781230633237

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 243. Chapters: Nash equilibrium, Prisoner's dilemma, Pareto efficiency, General equilibrium theory, Rock-paper-scissors, Evolutionarily stable strategy, Tragedy of the commons, The Evolution of Cooperation, Minimax, Bounded rationality, Tragedy of the anticommons, Free rider problem, Compromise, Collusion, Shapley value, Monty Hall problem, Zugzwang, Chicken, Cooperative game, Succinct game, Social dilemma, Mechanism design, Expected utility hypothesis, Ultimatum game, Extensive-form game, Fair division, Stackelberg competition, Social trap, Parrondo's paradox, Justice, Price of anarchy, Auction theory, Martingale, Signaling game, The Bottle Imp, Bayesian game, Common knowledge, Centipede game, Cournot competition, Best response, Inequity aversion, Braess's paradox, Solution concept, Bargaining problem, Coordination game, Dynamic inconsistency, Core, Game semantics, Prisoners and hats puzzle, Simulations and games in economics education, Glossary of game theory, Backward induction, Stable marriage problem, Normal-form game, Topological game, Metagaming, Continuous game, Smart market, Pursuit-evasion, Dictator game, Stable roommates problem, Strategic dominance, Banzhaf power index, Risk dominance, Superrationality, Traveler's dilemma, Vickrey-Clarke-Groves auction, Negotiation theory, Public goods game, Signalling, Chainstore paradox, Stochastic game, Fixed point, Expected value of sample information, Metagame analysis, Evolutionary game theory, Haven, Cheap talk, Grand coalition, Correlated equilibrium, Max Dominated Strategy, List of games in game theory, Social software, Keynesian beauty contest, Stag hunt, Generalized game theory, Sir Philip Sidney game, Competitive altruism, Rational ignorance, Repeated game, Contract theory, Trembling hand perfect equilibrium, Replicator equation, Bertrand competition, Battle of the...

Strategic Foundations of General Equilibrium

Strategic Foundations of General Equilibrium
Author: Douglas Gale
Publisher: Cambridge University Press
Total Pages: 232
Release: 2000-08-28
Genre: Business & Economics
ISBN: 9780521643306

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.

Fundamentals Of General Equilibrium Analysis

Fundamentals Of General Equilibrium Analysis
Author: Takashi Suzuki
Publisher: World Scientific
Total Pages: 436
Release: 2020-09-03
Genre: Business & Economics
ISBN: 981121963X

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.

Essays in Dynamic General Equilibrium Theory

Essays in Dynamic General Equilibrium Theory
Author: Alessandro Citanna
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 2006-01-11
Genre: Business & Economics
ISBN: 3540271929

In the area of dynamic economics, David Cass’s work has spawned a number of important lines of research, including the study of dynamic general equilibrium theory, the concept of sunspot equilibria, and general equilibrium theory when markets are incomplete. Based on these contributions, this volume contains new developments in the field, written by Cass's students and co-authors.

A General Theory of Equilibrium Selection in Games

A General Theory of Equilibrium Selection in Games
Author: John C. Harsanyi
Publisher: Mit Press
Total Pages: 378
Release: 1988
Genre: Business & Economics
ISBN: 9780262582384

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.