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Economic Activity Analysis
1954
by
Morgenstern
Oskar Morgenstern
John von Neumann
Mathematical Economics
Carl Menger
Equilibrium
Gustav Cassel
Physiocracy
Planned Economy
Vilfredo Pareto
Marginal Utility
Competition
Economic Goods
Game Theory
John Hicks
Paul Samuelson
Productivity
Interest Rates
Resource Allocation
Innovation
Balance of Payments
Market Structure
Monopoly
Perfect Competition
Wages
John Maynard Keynes
Microeconomics
International Trade
Monopolistic Competition
Profit and Loss
Empiricism
Diminishing Returns
Ludwig von Mises
Methodology
Agriculture
Francis Ysidro Edgeworth
Classical Economics
Austrian School
Knut Wicksell
Alfred Marshall
Uncertainty
Adam Smith
David Ricardo
Economic Calculation
Leon Walras
Irving Fisher
Economies of Scale
Johann Heinrich von Thunen
Price Theory
Business Cycles
Table of Contents · 116 segments
1
Front matter, title page, copyright, and government reproduction notice
chapter
2
Preface
essay
3
Contributors
bibliography
4
Table of contents
chapter
5
List of tables
bibliography
6
Introduction by O. Morgenstern
essay
7
Models of General Economic Equilibrium: purpose, historical background, and Walrasian setup
theoretical
8
Walrasian definitions, notation, and individual equilibrium equations
theoretical
9
Walrasian market equilibrium, average-cost pricing, and Wald uniqueness conditions
theoretical
10
Criticisms and practical modifications of the Walrasian system
theoretical
11
Leontief's Input-Output Model
theoretical
12
von Neumann's Model
theoretical
13
The Air Force Model
theoretical
14
The Input-Output System--Its Nature and Use: Introduction
essay
15
The Input-Output Model
theoretical
16
The Assumptions of the Input-Output Model
theoretical
17
Some Applications of the Input-Output Model: Introduction
essay
18
Projection of Output and Employment
essay
19
Analysis of the Effect of Foreign Trade
essay
20
The Analysis of Price Changes
essay
21
Conclusion to Morgenstern's Discussion of Input-Output Applications
essay
22
Aggregation in the Input-Output Model: Introduction
essay
23
Procedure for Aggregation in the Input-Output Model
theoretical
24
Problems Encountered in Aggregation: Criteria, Classifications, and Data Difficulties
theoretical
25
IV. Mathematical Aspects of Aggregation in Input-Output Analysis
theoretical
26
The Treatment of Foreign and Domestic Trade and Transportation Charges in the Leontief Input-Output Table, Section I
essay
27
Section II Introduction: BLS Input-Output Tables and Accounting Differences
essay
28
Omitted Trade Margins on Manufacturers' Direct Sales
essay
29
Manufacturers' Own Branches and Omitted Trade Profits
essay
30
Interplant Transfers within Integrated Firms
essay
31
Matrix Adjustments for Omitted Trade Margins
essay
32
Calculating and Allocating Trade Margins
essay
33
Significance of Omitted Trade Margins in Coefficients and Inverses
essay
34
Operational Equivalence of Alternative Import, Trade, and Transportation Accounting
theoretical
35
Description of Princeton and Leontief Models Compared
essay
36
Computational Procedure for Comparing Accounting Methods
theoretical
37
Results of Comparing Princeton and Leontief Accounting Methods
essay
38
The Problem of Constancy in Input-Output Coefficients
theoretical
39
Appendix A: Reconciliation of Two 1939 Input-Output Tables
essay
40
Errors of Classification in Input-Output Industry Units
essay
41
Appendix B: Table List and Industry Classification
essay
42
Appendix B Tables II.1-II.5: Omitted Trade Margins and Adjusted Inverses
essay
43
Appendix B Tables III.1-III.6: Princeton and Leontief Coefficient Matrices
essay
44
Appendix B Tables III.7-III.10: Inverses and Output-Estimate Differences
essay
45
Introduction to Inequalities for Minkowski-Leontief Matrices
essay
46
Contents and Notation
theoretical
47
Part I, Section 1.1: Moduli of Matrices
theoretical
48
Part I, Section 1.2: Two Instances of Matrix Moduli
theoretical
49
Part II, Section 2.1: Non-Negative Matrices Satisfying the Cauchy-Hadamard Condition
theoretical
50
Part II, Section 2.2: Upper Bounds for the Determinant of I - A
theoretical
51
Part II, Section 2.3: Lower Bounds for the Determinant of I - A
theoretical
52
Part II, Section 2.4: Estimates for Diagonal Elements of the Inverse of I - A
theoretical
53
Matrices with Complex Numbers: Section Introduction
theoretical
54
Lemma 3.1: Inequalities for Adjoint Matrices with Complex Entries
theoretical
55
Determinant Bounds for I - A under Complex Column-Sum Conditions
theoretical
56
Equivalent and Indecomposable Matrices; Strengthening Classical Nonsingularity Results
theoretical
57
Further Estimates for Determinants of Complex Matrices
theoretical
58
Quasi-Inverse and Modulus-Based Bounds for Adjoint Rows and Determinants
theoretical
59
Matrices with Non-Negative Elements: Adjoint, Determinant, and Quasi-Inverse Inequalities
theoretical
60
Applications to Related Constants of I - A
theoretical
61
Invariant Properties of Minkowski-Leontief Matrices
theoretical
62
Appendix I: Further Inequalities from the Quasi-Inverse Diagonal
theoretical
63
Bibliography for Inequalities for Minkowski-Leontief Matrices
bibliography
64
Some Mathematical Concepts for Linear Economic Models: Introduction
essay
65
An Inequality for Characteristic Values
theoretical
66
Carl Neumann's Series
theoretical
67
The Resolvents
theoretical
68
The Modulus of A and Its Relation to the Dominant Characteristic Value of AA'
theoretical
69
The Modulus of L = I - A
theoretical
70
Note on the Quasi-Inverse of a Square Matrix: Its Economic Significance and an Application
theoretical
71
Inner Products of Vectors Relative to a Symmetric, Positive-Definite Matrix
theoretical
72
Convexity Property of Minkowski-Leontief Matrices
theoretical
73
Economic Significance and Geometrical Meaning of Determinants
theoretical
74
Volume of Net Production
theoretical
75
Economic Interpretation of the Adjoins
theoretical
76
Properties of Leontief-Type Input-Output Matrices: Introduction
theoretical
77
Determinantal Bounds for Leontief-Type Matrices
theoretical
78
Characterization of Singular Leontief-Type Matrices
theoretical
79
The Positive Nature of the Inverses of Leontief Matrices
theoretical
80
Bibliography to Properties of Leontief-type Input-output Matrices
bibliography
81
Characteristic Roots of Input-Output Matrices
theoretical
82
"Continuous" Programming
essay
83
Matrices and Trees
theoretical
84
An Economic Application of "Matrices and Trees"
essay
85
Generalization: Trees, Leontief Determinants, and Principal Minors
theoretical
86
Exceptional Cases for Tree Construction in Leontief Systems
theoretical
87
Numerical Computations: Overview and Table I Input Coefficients
theoretical
88
Numerical Computations: Table II Inverse of I-A
theoretical
89
Numerical Computations: Tables III-V Characteristic Polynomial and Eigenvalues
theoretical
90
Numerical Computations: Tables VI-IX Characteristic Values and Vectors
theoretical
91
The Logic of the Laws of Return: Preface
essay
92
Introduction to Meta-Economic Analysis of the Laws of Return
essay
93
The Law of Diminishing Return on Land
theoretical
94
Properties of the Production Function
theoretical
95
What Follows from the Boundedness of the Production Function?
theoretical
96
The Classical Proofs of the Law of Diminishing Returns on Land
theoretical
97
L. v. Mises' Proof of the Law of Diminishing Returns
theoretical
98
Boehm-Bawerk's Proof
theoretical
99
Wicksell's Proof
theoretical
100
The Impossibility of Proving Diminishing Product Increments from the Production Function Properties Considered
theoretical
101
The Proposition of Non-Increasing Product Increments and Super-Additivity
theoretical
102
Relationship Between Diminishing Average Product and Diminishing Product Increments
theoretical
103
Economic Goods and the Laws of Return
theoretical
104
Concluding Remarks on Production Functions, Value, and Logical Method
theoretical
105
Experiment and Large Scale Computation in Economics: Front Matter and Contents
essay
106
Introduction: Thought Experiments, Physical Experiments, and Computation
essay
107
The Development Towards Computation in Economics
essay
108
Relation Between Computation and Experiment
essay
109
The Direct Experiment and Measurement
essay
110
V.A. Direct Experiments in Economics
theoretical
111
V.B. Indirect Experiments: Definitions and Public Calculations
theoretical
112
V.B. Indirect Experiments: Private Business Calculations
theoretical
113
V.B. Indirect Experiments of Economic Science
theoretical
114
VI. Non-Theoretical Data Generation by Computation
theoretical
115
VII. Concluding Remarks
theoretical
116
Index and Library Date Due Records
bibliography