|
TABLE OF CONTENTS
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|
| Chapter |
|
Page |
|
Preliminary Pages |
i |
|
Introduction, by
Tjalling C. Koopmans |
1 |
|
PART ONE: THEORY
OF PROGRAMMING AND ALLOCATION |
|
| I. |
The Programming of
Interdependent Activities: General Discussion, by Marshall K. Wood and George B.
Dantzig |
15 |
| II. |
The Programming of
Interdependent Activities: Mathematical Model, by George B. Dantzig |
19 |
| III. |
Analysis of Production
as an Efficient Combination of Activities, by Tjalling C. Koopmans |
33 |
| IV. |
The Aggregate Linear
Production Function and Its Applications to von Neumann's Economic Model, by Nicholas
Georgescu-Roegen |
98 |
| V. |
Relaxation Phenomena
in Linear Dynamic Models, by Nicholas Georgescu-Roegen |
116 |
| VI. |
Uses of Leontief's
Open Input-Output Models, by Harlan M. Smith |
132 |
| VII. |
Abstract of a Theorem
Concerning Substitutability in Open Leontief Models, by Paul A. Samuelson |
142 |
| VIII. |
Alternative Proof of
the Substitution Theorem of Leontief Models in the Case of Three Industries, by
Tjalling C. Koopmans |
147 |
| IX. |
Alternative Proof of
the Substitution Theorem of Leontief Models in the General Case, by Kenneth J. Arrow |
155 |
| X. |
Some Properties of a
Generalized Leontief Model, by Nicholas Georgescu-Roegen |
165 |
|
PART TWO:
APPLICATIONS OF ALLOCATION MODELS |
|
| XI. |
On the Choice of a
Crop Rotation Plan, by Clifford Hildreth and Stanley Reiter |
177 |
| XII. |
Development of Dynamic
Models for Program Planning, by Marshall K. Wood and Murray A. Geisler |
189 |
| XIII. |
Representation in a
Linear Model of Nonlinear Growth Curves in the Aircraft Industry, by Marshall K. Wood |
216 |
| XIV. |
A Model of
Transportation, by Tjalling C. Koopmans and Stanley Reiter |
222 |
| XV. |
Effects of
Technological Change in a Linear Model, by Herbert A. Simon
With comments by Ansley Coale and Yale Brozen |
260 |
| XVI. |
The Accuracy of
Economic Observations, by Oskar Morgenstern |
282 |
|
PART THREE:
MATHEMATICAL PROPERTIES OF CONVEX SETS |
|
| XVII. |
Convex Polyhedral
Cones and Linear Inequalities, by David Gale |
287 |
| XVIII. |
Theory of Convex
Polyhedral Cones, by Murray Gerstenhaber |
298 |
| XIX. |
Linear Programming and
the Theory of Games, by David Gale, Harold W. Kuhn, and Albert W. Tucker |
317 |
| XX. |
A Proof of the
Equivalence of the Programming Problem and the Game Problem, by George B. Dantzig |
330 |
|
PART FOUR:
PROBLEMS OF COMPUTATION |
|
| XXI. |
Maximization of a
Linear Function of Variables Subject to Linear Inequalities, by George B. Dantzig |
339 |
| XXII. |
Application of the
Simplex Method to a Game Theory Problem, by Robert Dorfman |
348 |
| XXIII. |
Application of the
Simplex Method to a Transportation Problem, by George B. Dantzig |
359 |
| XXIV. |
Iterative Solution of
Games by Fictitious Play, by George W. Brown |
374 |
| XXV. |
Computational
Suggestions for Maximizing a Linear Function Subject to Linear Inequalities, by George
W. Brown and Tjalling C. Koopmans |
377 |
|
References |
381 |
|
Index of Names |
387 |
|
Subject Index |
389 |
