Publications by author | Cowles Foundation for Research in Economics

Abstract

Two problems in the allocation of indivisible resources are discussed, which can be interpreted as problems of assigning plants to locations. The ﬁrst problem, in which cost of transportation between plants is ignored, is found to be a linear programming problem, with which is associated a system of rents that sustains an optimal assignment. The recognition of cost of inter-plant transportation in the second problem introduces complications which call for more laborious and largely unexplored computations and which also appear to defeat the price system as a means of sustaining an optimal assignment.

Abstract

Preliminary Pages [i-xx]
Chapter
1	Economic Measurements for Policy and Prediction, by Jacob Marschak [1]
2	Identification Problems in Economic Model Construction, by Tjalling C. Koopmans [27]
3	Causal Ordering and Identifiability, by Herbert A. Simon [49]
4	Methods of Measuring the Marginal Propensity to Consume, by Trygve Haavelmo [75]
5	Statistical Analysis of the Demand for Food: Example of Simultaneous Estimation of Structural Equations, by M.A. Girshick and Trygve Haavelmo [92]
6	The Estimation of Simultaneous Linear Economic Relationships, by Tjalling C. Koopmans and William C. Hood [112]
7	Asymptotic Properties of Limited-Information Estimates under Generalized Conditions, by Herman Chernoff and Herman Rubin [200]
8	An Example of Loss of Efficiency in Structural Estimation, by S.G. Allen, Jr. [213]
9	Sources and Size of Leasst-Squares Bias in a Two-Equation Model, by Jean Bronfenbrenner [221]
10	The Computation of Maximum-Likelihood Estimates of Linear Structural Equations, by Herman Chernoff and Nathan Divinsky [236]
Corrections to Statistical Inference in Dynamic Economic Models, Cowles Commission Monograph 10 [303]
References [305]
Index of Names & Subject Index [313]

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]

Abstract

Preliminary Pages [i-xv]
Introduction
1	Statistical Inference in Economics: An Introduction, by J. Marschak [1]
	PART ONE: Simultaneous Equation Systems
2	Measuring the Equation Systems of Dynamic Economics, by T.C. Koopmans, H. Rubin, and R.B. Leipnik [53]
	Problems of Identification
3	Note on the Identification of Economic Relations, by A. Wald [238]
4	Generalization of the Concept of Identification, by L. Hurwicz [245]
5	Remarks on Frisch's Confluence Analysis and Its Use in Econometrics, by T. Haavelmo [258]
	Problems of Structural and Predictive Estimation
6	Prediction and Least Squares, by L. Hurwicz [266]
7	The Equivalence of Maximum-Likelihood and Least-Squares Estimates of Regression Coefficients, by T.C. Koopmans [301]
8	Remarks on the Estimation of Unknown Parameters in Incomplete Systems of Equations, by A. Wald [305]
9	Estimation of the Parameters of a Single Equation by the Limited-Information Maximum-Likelihood Method, by T.W. Anderson, Jr. [311]
	Problems of Computation
10	Some Computational Devices, by H. Hotelling [323]
	PART TWO: Problems Specific to Time Series
	Trend and Seasonality
11	Variable Parameters in Stochastic Processes: Trend and Seasonality, by L. Hurwicz [329]
12	Nonparametric Tests against Trend, by H.B. Mann [345]
13	Tests of Significance in Time-Series Analysis, by R.L. Anderson 352]
	Estimation Problems
14	Consistency of Maximum-Likelihood Estimates in the Explosive Case, by H. Rubin [356]
15	Least-Squares Bias in Time Series, by L. Hurwicz [365]
	Continuous Stochastic Processes
16	Models Involving a Continuous Time Variable, by T.C. Koopmans [384]
	PART THREE: Specification of Hypotheses
17	When Is an Equation System Complete for Statistical Purposes?, by T.C. Koopmans [393]
18	Systems with Nonadditive Disturbances, by L. Hurwicz [410]
19	Note on Random Coefficients, by H. Rubin [419]
References & Index [423]
Corrections to Volume