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Computing Economic Equilibria By Variable Dimension Algorithms
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Book Synopsis Computing Economic Equilibria by Variable Dimension Algorithms by : G. van der Laan
Download or read book Computing Economic Equilibria by Variable Dimension Algorithms written by G. van der Laan and published by . This book was released on 1987 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computing economic equilibria by variable dimension algorithms by : Gerard van der Laan
Download or read book Computing economic equilibria by variable dimension algorithms written by Gerard van der Laan and published by . This book was released on 1987 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The (2n+m+1 - 2)-Ray Algorithm by : Dolf Talman
Download or read book The (2n+m+1 - 2)-Ray Algorithm written by Dolf Talman and published by . This book was released on 1993 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computing Equilibria and Fixed Points by : Zaifu Yang
Download or read book Computing Equilibria and Fixed Points written by Zaifu Yang and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Introduction to Numerical Continuation Methods by : Eugene L. Allgower
Download or read book Introduction to Numerical Continuation Methods written by Eugene L. Allgower and published by SIAM. This book was released on 2003-01-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. The book also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals. To help potential users of numerical continuation methods create programs adapted to their particular needs, this book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bifurcation, polynomial systems, eigenvalues, economic equilibria, optimization, and the approximation of manifolds have been written. The original extensive bibliography has been updated in the SIAM Classics edition to include more recent references and several URLs so users can look for codes to suit their needs. Audience: this book continues to be useful for researchers and graduate students in mathematics, sciences, engineering, economics, and business. A background in elementary analysis and linear algebra are adequate prerequisites for reading this book; some knowledge from a first course in numerical analysis may also be helpful.
Book Synopsis A Simplicial Variable Dimension Restart Algorithm to Find Economic Equilibria on the Unit Simplex Using N(n+1) Rays by : Reinoud Anna Maria Gerardus Joosten
Download or read book A Simplicial Variable Dimension Restart Algorithm to Find Economic Equilibria on the Unit Simplex Using N(n+1) Rays written by Reinoud Anna Maria Gerardus Joosten and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Computation and Modelling of Economic Equilibria by : Dolf Talman
Download or read book The Computation and Modelling of Economic Equilibria written by Dolf Talman and published by North Holland. This book was released on 1987 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computing Equilibria and Fixed Points by : Zaifu Yang
Download or read book Computing Equilibria and Fixed Points written by Zaifu Yang and published by Springer Science & Business Media. This book was released on 1999 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Advanced Lectures in Quantitative Economics by : Frederick van Der Ploeg
Download or read book Advanced Lectures in Quantitative Economics written by Frederick van Der Ploeg and published by Academic Press. This book was released on 2014-05-01 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Lectures in Quantitative Economics summarizes some of the efforts of a second-phase program for first-rate candidates with a Master's degree in economics who wish to continue with a doctoral degree in quantitative economics. This book is organized into three main topics—macroeconomics, microeconomics, and econometrics. This text specifically discusses the Neo-Keynesian macroeconomics in an open economy, international coordination of monetary policies under alternative exchange-rate regimes, and prospects for global trade imbalances. The post-war developments in labor economics, introduction to overlapping generation models, and measurement of expectations and direct tests of the REH are also elaborated. This monograph likewise covers the dynamic econometric modeling of decisions under uncertainty and fundamental bordered matrix of linear estimation. This publication is a good reference for students and specialists interested in quantitative economics.
Author :Stanford University. Department of Operations Research. Systems Optimization Laboratory Publisher : ISBN 13 : Total Pages :26 pages Book Rating :4.F/5 ( download)
Book Synopsis Computing Economic Equilibria on Affine Networks with Lemke's Algorithm by : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Download or read book Computing Economic Equilibria on Affine Networks with Lemke's Algorithm written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1977 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic equilibria between supply and demand on certain affine multicommodity networks are characterized as solutions to a linear complementarity problem to which Lemke's algorithm is applied. (Author).
Book Synopsis A New Variable Dimension Simplicial Algorithm to Find Equilibria on the Product Space of Unit Simplices by : T. M. Doup
Download or read book A New Variable Dimension Simplicial Algorithm to Find Equilibria on the Product Space of Unit Simplices written by T. M. Doup and published by . This book was released on 1984 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Triangulations and Simplicial Methods by : Chuangyin Dang
Download or read book Triangulations and Simplicial Methods written by Chuangyin Dang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.
Book Synopsis Adjustment Processes for Exchange Economies and Noncooperative Games by : Antoon van den Elzen
Download or read book Adjustment Processes for Exchange Economies and Noncooperative Games written by Antoon van den Elzen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a treatise on adjustment processes. We consider price adjustment processes in exchange economies and strategy adjustment processes in noncooperative games. In the most simple version of an exchange economy, i.e. a pure exchange economy, there exist markets on which prices are determined by the demand and supply created by a finite number of consumers willing to exchange their initial endowments in order to maximize their utilities. An equilibrium situation is attained if, for some price vector, demand equals supply in all markets. Starting from a situation not being an equi librium an adjustment process reaches an equilibrium via adaptations of prices. The advantage of the adjustment processes we will present in this monograph is that they exist and converge under far weaker assumptions than existing processes. The second subject concerns the problem of finding Nash equilibria in noncooperative games. A Nash equilibrium is a situation from which no player can improve his position by unilaterally changing his strategy. We present a new algorithm for finding such equilibria. The sequence of stra tegy vectors generated by the algorithm can be interpreted as the path followed by a strategy adjustment process.
Author :Erricos John Kontoghiorghes Publisher :Springer Science & Business Media ISBN 13 :1475736134 Total Pages :626 pages Book Rating :4.4/5 (757 download)
Book Synopsis Computational Methods in Decision-Making, Economics and Finance by : Erricos John Kontoghiorghes
Download or read book Computational Methods in Decision-Making, Economics and Finance written by Erricos John Kontoghiorghes and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing has become essential for the modeling, analysis, and optimization of systems. This book is devoted to algorithms, computational analysis, and decision models. The chapters are organized in two parts: optimization models of decisions and models of pricing and equilibria.
Author :Stanford University. Department of Operations Research. Systems Optimization Laboratory Publisher : ISBN 13 : Total Pages :136 pages Book Rating :4.F/5 ( download)
Book Synopsis Computation of Economic Equilibria by Path Methods by : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Download or read book Computation of Economic Equilibria by Path Methods written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1977 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the economic equilibrium model is given and it is demonstrated that a path method can be used to compute equilibria for pure exchange economies in a nonlinear setting. Next, a model is described for an economy in which the utility functions are piecewise linear and the consumption and production sets are polyhedral. It is shown that an equilibrium for this economy is the solution to a system of bilinear equations subject to certain linear inequality and complementarity constraints. Two approaches are discussed for computing equilibria for such economies. The first is the bilinear complementarity algorithm (BCA) and the second is the homotopy retraction algorithm (HRA). Convergence proofs are given for both methods using the general theory for path methods described above. No conclusion could be drawn as to which algorithm was superior, but both performed well enough that it appears that much larger equilibrium problems also can be solved efficiently by these methods.
Book Synopsis Computing Stochastic Dynamic Economic Models with a Large Number of State Variables by : Benjamin Malin
Download or read book Computing Stochastic Dynamic Economic Models with a Large Number of State Variables written by Benjamin Malin and published by . This book was released on 2007 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe a sparse grid collocation algorithm to compute recursive solutions of dynamic economies with a sizable number of state variables. We show how powerful this method may be in applications by computing the nonlinear recursive solution of an international real business cycle model with a substantial number of countries, complete insurance markets and frictions that impede frictionless international capital flows. In this economy the aggregate state vector includes the distribution of world capital across different countries as well as the exogenous country-specific technology shocks. We use the algorithm to efficiently solve models with 2, 4, and 6 countries (i.e., up to 12 continuous state variables).
Book Synopsis Internet and Network Economics by : Ning Chen
Download or read book Internet and Network Economics written by Ning Chen and published by Springer. This book was released on 2012-02-02 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Internet and Network Economics, WINE 2011, held in Singapore, in December 2011. The 31 revised full papers and 5 revised short papers presented together with the abstracts of 3 papers about work in progress were carefully reviewed and selected from 100 submissions. The papers are organized in topical sections on algorithmic game theory, algorithmic mechanism design, computational advertising, computational social choice, convergence and learning in games, economics aspects of security and privacy, information and attention economics, network games and social networks.