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Methods of Mathematical Economics: Linear and Nonlinear Programming, Fixed-Point Theorems

Publisher: 
SIAM
Number of Pages: 
297
Price: 
50.50
ISBN: 
978-0898715095
Date Received: 
Thursday, June 21, 2007
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Joel N. Franklin
Series: 
Classics in Applied Mathematics 37
Publication Date: 
2002
Format: 
Paperback
Category: 
Monograph
BLL
10/14/2010
BLL Rating: 

 Preface to the Classics Edition; Preface; Errata; Chapter 1: Linear Programming. Introduction to Linear Programming; Linear Programs and Their Duals; How the Dual Indicates Optimality; Basic Solutions; The Idea of the Simplex Methods; Separating Planes for Convex Sets; Finite Cones and the Farkas Alternative; The Duality Principle; Perturbations and Parametric Programming; The Simplex Tableau Algorithm; The Revised Simplex Algorithm; A Simplex Algorithm for Degenerate Problems; Multiobjective Linear Programming; Zero-Sum, Two-Person Games; Integer Programming: Gomory's Method; Network Flows; Assignment and Shortest-Route Problems; The Transportation Problem; Chapter 2: Nonlinear Programming. Wolfe's Method for Quadratic Programming; Kuhn-Tucker Theory; Geometric Programming; Chapter 3: Fixed-Point Theorems. Introduction to Fixed Points; Contraction Mappings; Garsia's Proof of the Brouwer Fixed-Point Theorem; Milnor's Proof of the Brouwer Fixed-Point Theorem; Barycentric Coordinates, Sperner's Lemma, and an Elementary Proof of the Brouwer Fixed-Point Theorem; The Schauder Fixed-Point Theorem; Kakutani's Fixed-Point Theorem and Nash's Theorem for n-Person Games; Index.

Publish Book: 
Modify Date: 
Thursday, October 14, 2010

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