Preliminary Pages [i-xiv] |
PART ONE: Theory of Programming and Allocation |
1 |
The Programming of Interdependent Activities: General Discussion, by Marshall K. Wood and George B. Dantzig [15] |
2 |
The Programming of Interdependent Activities: Mathematical Model, by George B. Dantzig [19] |
3 |
Analysis of Production as an Efficient Combination of Activities, by Tjalling C. Koopmans [33] |
4 |
The Aggregate Linear Production Function and Its Applications to von Neumann's Economic Model, by Nicholas Georgescu-Roegen [98] |
5 |
Relaxation Phenomena in Linear Dynamic Models, by Nicholas Georgescu-Roegen [116] |
6 |
Uses of Leontief's Open Input-Output Models, by Harlan M. Smith [132] |
7 |
Abstract of a Theorem Concerning Substitutability in Open Leontief Models, by Paul A. Samuelson [142] |
8 |
Alternative Proof of the Substitution Theorem of Leontief Models in the Case of Three Industries, by Tjalling C. Koopmans [147] |
9 |
Alternative Proof of the Substitution Theorem of Leontief Models in the General Case, by Kenneth J. Arrow [155] |
10 |
Some Properties of a Generalized Leontief Model, by Nicholas Georgescu-Roegen [165] |
PART TWO: Applications of Allocation Models |
11 |
On the Choice of a Crop Rotation Plan, by Clifford Hildreth and Stanley Reiter [177] |
12 |
Development of Dynamic Models for Program Planning, by Marshall K. Wood and Murray A. Geisler [189] |
13 |
Representation in a Linear Model of Nonlinear Growth Curves in the Aircraft Industry, by Marshall K. Wood [216] |
14 |
A Model of Transportation, by Tjalling C. Koopmans and Stanley Reiter [222] |
15 |
Effects of Technological Change in a Linear Model, by Herbert A. Simon
With comments by Ansley Coale and Yale Brozen [260] |
16 |
The Accuracy of Economic Observations, by Oskar Morgenstern [282] |
PART THREE: Mathematical Properties of Convex Sets |
17 |
Convex Polyhedral Cones and Linear Inequalities, by David Gale [287] |
18 |
Theory of Convex Polyhedral Cones, by Murray Gerstenhaber [298] |
19 |
Linear Programming and the Theory of Games, by David Gale, Harold W. Kuhn, and Albert W. Tucker [317] |
20 |
A Proof of the Equivalence of the Programming Problem and the Game Problem, by George B. Dantzig [330] |
PART FOUR: Problems of Computation |
21 |
Maximization of a Linear Function of Variables Subject to Linear Inequalities, by George B. Dantzig [339] |
22 |
Application of the Simplex Method to a Game Theory Problem, by Robert Dorfman [348] |
23 |
Application of the Simplex Method to a Transportation Problem, by George B. Dantzig [359] |
23 |
Iterative Solution of Games by Fictitious Play, by George W. Brown [374] |
25 |
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 & Subject Index [387] |