A New Variable Dimension Simplicial Algorithm to Find Equilibria on the Product Space of Unit Simplices

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ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (25 download)

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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:

Simplicial Algorithms on the Simplotope

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Publisher : Springer Science & Business Media
ISBN 13 : 3642466516
Total Pages : 264 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Simplicial Algorithms on the Simplotope by : Timothy M. Doup

Download or read book Simplicial Algorithms on the Simplotope written by Timothy M. Doup and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, en gineering, and many other professions. Many problems such as finding an equilibrium, a zero point, or a fixed point, can be formulated as the problem of finding a solution to a system of nonlinear equations. There are many methods to solve the nonlinear system such as Newton's method, the homotopy method, and the simplicial method. In this monograph we mainly consider the simplicial method. Traditionally, the zero point and fixed point problem have been solved by iterative methods such as Newton's method and modifications thereof. Among the difficulties which may cause an iterative method to perform inefficiently or even fail are: the lack of good starting points, slow convergence, and the lack of smoothness of the underlying function. These difficulties have been partly overcome by the introduction of homo topy methods.

Computing Equilibria and Fixed Points

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Publisher : Springer Science & Business Media
ISBN 13 : 1475748396
Total Pages : 349 pages
Book Rating : 4.4/5 (757 download)

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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).

Triangulations and Simplicial Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642487750
Total Pages : 199 pages
Book Rating : 4.6/5 (424 download)

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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.

Introduction to Numerical Continuation Methods

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Publisher : SIAM
ISBN 13 : 9780898719154
Total Pages : 413 pages
Book Rating : 4.7/5 (191 download)

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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.

Computing Economic Equilibria by Variable Dimension Algorithms

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Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (318 download)

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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:

Adjustment Processes for Exchange Economies and Noncooperative Games

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Publisher : Springer Science & Business Media
ISBN 13 : 3642481337
Total Pages : 155 pages
Book Rating : 4.6/5 (424 download)

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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.

The Computation and Modelling of Economic Equilibria

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Publisher : North Holland
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.F/5 ( download)

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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:

EUI Working Paper

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Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis EUI Working Paper by :

Download or read book EUI Working Paper written by and published by . This book was released on 1987 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SIAM Journal on Control and Optimization

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ISBN 13 :
Total Pages : 1140 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 1996 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Simplicial Variable Dimension Restart Algorithm to Find Economic Equilibria on the Unit Simplex Using N(n+1) Rays

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (662 download)

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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:

Applicationes Mathematicae

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ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applicationes Mathematicae by :

Download or read book Applicationes Mathematicae written by and published by . This book was released on 2004 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Programming

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Publisher : Springer
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Programming by : Masao Iri

Download or read book Mathematical Programming written by Masao Iri and published by Springer. This book was released on 1989-11-30 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Mathematical Economics

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ISBN 13 :
Total Pages : 1082 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis Journal of Mathematical Economics by :

Download or read book Journal of Mathematical Economics written by and published by . This book was released on 1998 with total page 1082 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Economic Sciences in the Netherlands

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ISBN 13 :
Total Pages : 824 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Economic Sciences in the Netherlands by :

Download or read book Economic Sciences in the Netherlands written by and published by . This book was released on 1986 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Computational Economics

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Publisher : North Holland
ISBN 13 :
Total Pages : 862 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Handbook of Computational Economics by : H.M. Amman

Download or read book Handbook of Computational Economics written by H.M. Amman and published by North Holland. This book was released on 1996-06-13 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of computational economics. - v. 1

Operations Research Proceedings 1995

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Publisher : Springer
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Operations Research Proceedings 1995 by : Peter Kleinschmidt

Download or read book Operations Research Proceedings 1995 written by Peter Kleinschmidt and published by Springer. This book was released on 1996-03-11 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Das Buch enthält ausgewählte Vorträge, die anläßlich des Symposiums über Operations Research (SOR'95) in der Zeit vom 13.-15.9.1995 an der Universität Passau gehalten wurden. Der Leser erhält einen Einblick in neueste Forschungsergebnisse auf dem Gebiet des Operations Research. Der Sammelband demonstriert eindrucksvoll das weite Spektrum der vom Operations Research heute behandelten Thematiken. Neben primär methodischen Fragestellungen bilden praxisorientierte Themen wie Anwendungsberichte aus der Praxis, im Umweltschutz, der Logistik und Verkehrsplanung einen Schwerpunkt. Deutlich wird auch die Ausstrahlung des Operations Research in andere wissenschaftliche Disziplinen wie Informatik, Ökonomie und Wirtschaftsinformatik.