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A New Variable Dimension Simplicial Algorithm To Find Equilibria On The Product Space Of Unit Simplices
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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.
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 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 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 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 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.
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:
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:
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:
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:
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:
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:
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
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.
Book Synopsis Mathematics of Operations Research by :
Download or read book Mathematics of Operations Research written by and published by . This book was released on 1987 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles of mathematical interest as well as operations research and management science.
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.
