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Applied General Equilibrium Analysis

Author: Herbert E. Scarf
Publisher: Cambridge University Press
ISBN: 052125745X
Size: 73.32 MB
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This book presents a collection of articles on applied general equilibrium analysis by major contributors to this field. This rapidly expanding method of analysis involves the use of computers to study entire economies and the interrelationships among firms, households and governments in these economies. There are also articles on the particular computational techniques involved in the numerical estimation of these equilibrium models and on several particular applications. Papers deal with the United States, Mexican and Australian economies. Other chapters provide an analysis of long-run energy problems, fiscal federalism and economic planning.

Applied Computational Economics And Finance

Author: Mario J. Miranda
Publisher: MIT Press
ISBN: 0262291754
Size: 69.13 MB
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This book presents a variety of computational methods used to solve dynamic problems in economics and finance. It emphasizes practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. The examples are drawn from a wide range of subspecialties of economics and finance, with particular emphasis on problems in agricultural and resource economics, macroeconomics, and finance. The book also provides an extensive Web-site library of computer utilities and demonstration programs.The book is divided into two parts. The first part develops basic numerical methods, including linear and nonlinear equation methods, complementarity methods, finite-dimensional optimization, numerical integration and differentiation, and function approximation. The second part presents methods for solving dynamic stochastic models in economics and finance, including dynamic programming, rational expectations, and arbitrage pricing models in discrete and continuous time. The book uses MATLAB to illustrate the algorithms and includes a utilities toolbox to help readers develop their own computational economics applications.

The Oxford Handbook Of Computational Economics And Finance

Author: Shu-Heng Chen
Publisher: Oxford University Press
ISBN: 0199844372
Size: 34.60 MB
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The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.

Herbert Scarf S Contributions To Economics Game Theory And Operations Research

Author: Zaifu Yang
Publisher: Palgrave Macmillan
ISBN: 1137024356
Size: 60.28 MB
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Herbert Scarf is a highly esteemed distinguished American economist. He is internationally famous for his early epoch-making work on optimal inventory policies and his highly influential study with Andrew Clark on optimal policies for a multi-echelon inventory problem, which initiated the important and flourishing field of supply chain management. Equally, he has gained world recognition for his classic study on the stability of the Walrasian price adjustment processes and his fundamental analysis on the relationship between the core and the set of competitive equilibria (the so-called Edgeworth conjecture). Further achievements include his remarkable sufficient condition for the existence of a core in non-transferable utility games and general exchange economies, his seminal paper with Lloyd Shapley on housing markets, and his pioneering study on increasing returns and models of production in the presence of indivisibilities. All in all, however, the name of Scarf is always remembered as a synonym for the computation of economic equilibria and fixed points. In the early 1960s he invented a path-breaking technique for computing equilibrium prices. This work has generated a major research field in economics termed Applied General Equilibrium Analysis and a corresponding area in operations research known as Simplicial Fixed Point Methods. This book comprises all his research articles and consists of four volumes. This volume collects Herbert Scarf's papers in the area of Economics and Game Theory.

Computable Foundations For Economics

Author: K. Vela Velupillai
Publisher: Routledge
ISBN: 1134253370
Size: 42.52 MB
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Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.

The Microeconomics Of Complex Economies

Author: Wolfram Elsner
Publisher: Academic Press
ISBN: 0124115993
Size: 46.70 MB
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The Microeconomics of Complex Economies uses game theory, modeling approaches, formal techniques, and computer simulations to teach useful, accessible approaches to real modern economies. It covers topics of information and innovation, including national and regional systems of innovation; clustered and networked firms; and open-source/open-innovation production and use. Its final chapter on policy perspectives and decisions confirms the value of the toolset. Written so chapters can be used independently, the book includes an introduction to computer simulation and pedagogical supplements. Its formal, accessible treatment of complexity goes beyond the scopes of neoclassical and mainstream economics. The highly interdependent economy of the 21st century demands a reconsideration of economic theories. Describes the usefulness of complex heterodox economics Emphasizes divergences and convergences with neoclassical economic theories and perspectives Fits easily into courses on intermediate microeconomics, industrial organization, and games through self-contained chapters

Theory Of Regular Economies

Author: Ryo Nagata
Publisher: World Scientific
ISBN: 981448265X
Size: 29.19 MB
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' This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues. Contents:Foundations of Regular Economies:What Is a Regular Economy?Regular Economies and GenericityFormalization of Regular EconomiesThe Number of Equilibria in Regular EconomiesStability of Equilibria in Regular EconomiesTransversality and Regular Economies:Space of Utility FunctionsTransversality and Regular EconomiesTransversality Theorems and Regular EconomiesThe Number of Extended Equilibria in Regular EconomiesDevelopments of Regular Economies:Production Economy with Linear ActivitiesIncomplete Markets IIncomplete Markets II Readership: Upper level undergraduates, graduate students and researchers involved with the application of mathematics to economic analysis. Keywords:General Equilibrium Theory;Regular Economy;Finiteness of Equilibria;Genericity;Transversality;Activity Analysis;Incomplete MarketReviews:“Professional mathematical economics, as well as second-year PhD students who have mastered, will enjoy this book. The presentation is clear throughout, and the proofs clean.”Mathematical Reviews “This small book, rich in content concerning the theory of regular economies and (some of) its applications, represents successfully connections between economical analysis and its purely mathematical counterpart … The book is equipped with a lot of improvements and supplements. It is highly interesting to those, who live in the big and beautiful world of mathematical economics.”Zentralblatt MATH '

Introduction To Computable General Equilibrium Models

Author: Mary E. Burfisher
Publisher: Cambridge University Press
ISBN: 1316889378
Size: 24.26 MB
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This book provides an accessible, undergraduate-level introduction to computable general equilibrium (CGE) models, a class of model that has come to play an important role in government policy decisions. The book uses a graphical approach to explain the economic theory that underlies a CGE model, and provides results from simple, small-scale CGE models to illustrate the links between theory and model outcomes. The book includes eleven guided, hands-on exercises that introduce modeling techniques that are applied to real-world economic problems. Students will learn how to integrate their separate fields of economic study into a comprehensive, general equilibrium perspective as they develop their skills as producers or consumers of CGE-based analysis.