The Computation Of An Equilibrium In General Equilibrium Theory And Game Theory
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Author | : Ross M. Starr |
Publisher | : Cambridge University Press |
Total Pages | : 280 |
Release | : 1997-07-13 |
Genre | : Business & Economics |
ISBN | : 9780521564731 |
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 | : Jaime De Melo |
Publisher | : MIT Press |
Total Pages | : 320 |
Release | : 1992 |
Genre | : Business & Economics |
ISBN | : 9780262041225 |
The authors' model is the first large-scale computer simulation of the effects of changes in U.S. import quotas.
Author | : James C. Moore |
Publisher | : Springer Science & Business Media |
Total Pages | : 575 |
Release | : 2006-12-20 |
Genre | : Business & Economics |
ISBN | : 354032223X |
This book offers the basic grasp of general equilibrium theory that is a fundamental background for advanced work in virtually any sub-field of economics, and the thorough understanding of the methods of welfare economics, particularly in a general equilibrium context, that is indispensable for undertaking applied policy analysis. The book uses extensive examples, both simple ones intended to bolster basic concepts, and those illustrating application of the material to economics in practice.
Author | : Léon Walras |
Publisher | : Routledge |
Total Pages | : 630 |
Release | : 2013-10-16 |
Genre | : Business & Economics |
ISBN | : 113455995X |
Elements of Pure Economics was one of the most influential works in the history of economics, and the single most important contribution to the marginal revolution. Walras' theory of general equilibrium remains one of the cornerstones of economic theory more than 100 years after it was first published.
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.
Author | : Martin Shubik |
Publisher | : MIT Press |
Total Pages | : 591 |
Release | : 2016-09-23 |
Genre | : Business & Economics |
ISBN | : 0262034638 |
A rigorous theory of money, credit, and bankruptcy in the context of a mixed economy, uniting Walrasian general equilibrium with macroeconomic dynamics and Schumpeterian innovation. This book offers a rigorous study of control, guidance, and coordination problems of an enterprise economy, with attention to the roles of money and financial institutions. The approach is distinctive in drawing on game theory, methods of physics and experimental gaming, and, more generally, a broader evolutionary perspective from the biological and behavioral sciences. The proposed theory unites Walrasian general equilibrium with macroeconomic dynamics and Schumpeterian innovation utilizing strategic market games. Problems concerning the meaning of rational economic behavior and the concept of solution are noted. The authors argue that process models of the economy can be built that are consistent with the general equilibrium system but become progressively more complex as new functions are added. Explicit embedding of the economy within the framework of government and society provides a natural, both formal and informal, control system. The authors describe how to build and analyze multistate models with simple assumptions about behavior, and develop a general modeling methodology for the construction of models as playable games.
Author | : Zaifu Yang |
Publisher | : Springer Science & Business Media |
Total Pages | : 349 |
Release | : 2013-04-17 |
Genre | : Business & Economics |
ISBN | : 1475748396 |
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 | : Morris W. Hirsch |
Publisher | : Springer Science & Business Media |
Total Pages | : 620 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461227402 |
An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.
Author | : Wei-Bin Zhang |
Publisher | : Springer Nature |
Total Pages | : 351 |
Release | : 2020-08-27 |
Genre | : Business & Economics |
ISBN | : 3030562042 |
This book develops a general economic theory that integrates various economic theories and ideas and establishes important relationships between economic variables that are not formally recognized in the economic literature. The author demonstrates how the basic model is integrated with neoclassical growth theory, Walrasian general equilibrium theory, and Ricardian distribution theory, and how these theories can be incorporated through a single set of equations with a microeconomic basis. The book offers new insights into income and wealth distribution between heterogeneous households, racial and national differences in growth and development, interdependence between different stock variables with portfolio choices among different markets. It will appeal to scholars of economists interested in an integrative theoretical approach to this discipline.
Author | : Donald Brown |
Publisher | : Springer Science & Business Media |
Total Pages | : 204 |
Release | : 2008-01-08 |
Genre | : Business & Economics |
ISBN | : 3540765913 |
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.