Abstract
| 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] | |
Document
Control
Number(s)
Control
Number(s)
CFM 13
Author(s)
Publication Date
January 1951