Synopses & Reviews
Designed primarily for economists and those interested in management economics who are not necessarily accomplished mathematicians, this text offers a clear, concise exposition of the relationship of linear programming to standard economic analysis. The research and writing were supported by The RAND Corporation in the late 1950s.
Linear programming has been one of the most important postwar developments in economic theory, but until publication of the present volume, no text offered a comprehensive treatment of the many facets of the relationship of linear programming to traditional economic theory. This book was the first to provide a wide-ranging survey of such important aspects of the topic as the interrelations between the celebrated von Neumann theory of games and linear programming, and the relationship between game theory and the traditional economic theories of duopoly and bilateral monopoly.
Modern economists will especially appreciate the treatment of the connection between linear programming and modern welfare economics and the insights that linear programming gives into the determinateness of Walrasian equilibrium. The book also offers an excellent introduction to the important Leontief theory of input-output as well as extensive treatment of the problems of dynamic linear programming.
Successfully used for three decades in graduate economics courses, this book stresses practical problems and specifies important concrete applications.
Synopsis
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more.
Synopsis
First comprehensive treatment of linear programming in standard economic analysis. Game theory, modern welfare economics, Leontief input-output, more.
Synopsis
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more.
Table of Contents
Foreword
Preface
1 Introduction
2 Basic Concepts of Linear Programming
3 The Valuation Problem; Market Solutions
4 The Algebra of Linear Programming
5 The Transportation Problem
6 Linear-programming Analysis of the Firm
7 Application to the Firm; Valuation and Duality
8 Nonlinear Programming
9 The Statical Leontief System
10 The Statical Leontief System (Continued)
11 Dynamic Aspects of Linear Models
12 Efficient Programs of Capital Accumulation
13 Linear Programming and the Theory of General Equilibrium
14 Linear Programming and Welfare Economics
15 Elements of Game Theory
16 Interrelations between Linear Programming and Game Theory
"APPENDIX A: Chance, Utility, and Game Theory "
APPENDIX B: The Algebra of Matrices
Bibliography
Index