
Computing Equilibria and Fixed Points
The Solution of Nonlinear Inequalities
Zaifu Yang(Author)
Springer (Publisher)
Published on 8. December 2010
Book
Paperback/Softback
X, 344 pages
978-1-4419-5070-3 (ISBN)
Description
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).
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 1999
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
X, 344 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
552 gr
ISBN-13
978-1-4419-5070-3 (9781441950703)
DOI
10.1007/978-1-4757-4839-0
Schweitzer Classification
Other editions
Additional editions

Book
11/1998
Kluwer Academic Publishers
€160.49
Shipment within 15-20 days
Content
1 Mathematical Preliminaries.- 2 Applications in Game Theory and Economics.- 3 First Algorithms for Approximating Fixed Points.- 4 Simplicial Homotopy Algorithms.- 5 Variable Dimension Restart Algorithms.- 6 An Algorithm for Integer Linear Programming.- 7 Refinement and Stability of Stationary Points.- 8 Computing a Continuum of Zero Points.- 9 Computing Stationary Points on Polytopes.- 10 The Computation of Antipodal Fixed Points.- 11 Computing All Roots of Univariate Polynomials.- 12 Gröbner Bases for Solving Polynomial Equations.- 13 Intersection Theory.- 14 Sperner Theory.- References.