Computing Equilibria and Fixed Points: The Solution of Nonlinear Inequalities
Author:   Zaifu Yang
Publisher:   Springer
Edition:   1999 ed.
Volume:   21
ISBN:  

9780792383956


Pages:   344
Publication Date:   30 November 1998
Format:   Hardback
Availability:   In Print   Availability explained
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Computing Equilibria and Fixed Points: The Solution of Nonlinear Inequalities


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Overview

This text is devoted to the computation of equilibria, fixed points and stationary points. It has been written with three goals in mind: to give a comprehensive introduction to fixed point methods and to the definition and construction of Grobner bases; to discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; and 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 co-operative and non-co-operative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).

Full Product Details

Author:   Zaifu Yang
Publisher:   Springer
Imprint:   Springer
Edition:   1999 ed.
Volume:   21
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.510kg
ISBN:  

9780792383956


ISBN 10:   0792383958
Pages:   344
Publication Date:   30 November 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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