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Economic Activity Analysis

1954

by Morgenstern

Oskar MorgensternJohn von NeumannMathematical EconomicsCarl MengerEquilibriumGustav CasselPhysiocracyPlanned EconomyVilfredo ParetoMarginal UtilityCompetitionEconomic GoodsGame TheoryJohn HicksPaul SamuelsonProductivityInterest RatesResource AllocationInnovationBalance of PaymentsMarket StructureMonopolyPerfect CompetitionWagesJohn Maynard KeynesMicroeconomicsInternational TradeMonopolistic CompetitionProfit and LossEmpiricismDiminishing ReturnsLudwig von MisesMethodologyAgricultureFrancis Ysidro EdgeworthClassical EconomicsAustrian SchoolKnut WicksellAlfred MarshallUncertaintyAdam SmithDavid RicardoEconomic CalculationLeon WalrasIrving FisherEconomies of ScaleJohann Heinrich von ThunenPrice TheoryBusiness Cycles

Table of Contents · 116 segments

1
Front matter, title page, copyright, and government reproduction noticechapter
2
Prefaceessay
3
Contributorsbibliography
4
Table of contentschapter
5
List of tablesbibliography
6
Introduction by O. Morgensternessay
7
Models of General Economic Equilibrium: purpose, historical background, and Walrasian setuptheoretical
8
Walrasian definitions, notation, and individual equilibrium equationstheoretical
9
Walrasian market equilibrium, average-cost pricing, and Wald uniqueness conditionstheoretical
10
Criticisms and practical modifications of the Walrasian systemtheoretical
11
Leontief's Input-Output Modeltheoretical
12
von Neumann's Modeltheoretical
13
The Air Force Modeltheoretical
14
The Input-Output System--Its Nature and Use: Introductionessay
15
The Input-Output Modeltheoretical
16
The Assumptions of the Input-Output Modeltheoretical
17
Some Applications of the Input-Output Model: Introductionessay
18
Projection of Output and Employmentessay
19
Analysis of the Effect of Foreign Tradeessay
20
The Analysis of Price Changesessay
21
Conclusion to Morgenstern's Discussion of Input-Output Applicationsessay
22
Aggregation in the Input-Output Model: Introductionessay
23
Procedure for Aggregation in the Input-Output Modeltheoretical
24
Problems Encountered in Aggregation: Criteria, Classifications, and Data Difficultiestheoretical
25
IV. Mathematical Aspects of Aggregation in Input-Output Analysistheoretical
26
The Treatment of Foreign and Domestic Trade and Transportation Charges in the Leontief Input-Output Table, Section Iessay
27
Section II Introduction: BLS Input-Output Tables and Accounting Differencesessay
28
Omitted Trade Margins on Manufacturers' Direct Salesessay
29
Manufacturers' Own Branches and Omitted Trade Profitsessay
30
Interplant Transfers within Integrated Firmsessay
31
Matrix Adjustments for Omitted Trade Marginsessay
32
Calculating and Allocating Trade Marginsessay
33
Significance of Omitted Trade Margins in Coefficients and Inversesessay
34
Operational Equivalence of Alternative Import, Trade, and Transportation Accountingtheoretical
35
Description of Princeton and Leontief Models Comparedessay
36
Computational Procedure for Comparing Accounting Methodstheoretical
37
Results of Comparing Princeton and Leontief Accounting Methodsessay
38
The Problem of Constancy in Input-Output Coefficientstheoretical
39
Appendix A: Reconciliation of Two 1939 Input-Output Tablesessay
40
Errors of Classification in Input-Output Industry Unitsessay
41
Appendix B: Table List and Industry Classificationessay
42
Appendix B Tables II.1-II.5: Omitted Trade Margins and Adjusted Inversesessay
43
Appendix B Tables III.1-III.6: Princeton and Leontief Coefficient Matricesessay
44
Appendix B Tables III.7-III.10: Inverses and Output-Estimate Differencesessay
45
Introduction to Inequalities for Minkowski-Leontief Matricesessay
46
Contents and Notationtheoretical
47
Part I, Section 1.1: Moduli of Matricestheoretical
48
Part I, Section 1.2: Two Instances of Matrix Modulitheoretical
49
Part II, Section 2.1: Non-Negative Matrices Satisfying the Cauchy-Hadamard Conditiontheoretical
50
Part II, Section 2.2: Upper Bounds for the Determinant of I - Atheoretical
51
Part II, Section 2.3: Lower Bounds for the Determinant of I - Atheoretical
52
Part II, Section 2.4: Estimates for Diagonal Elements of the Inverse of I - Atheoretical
53
Matrices with Complex Numbers: Section Introductiontheoretical
54
Lemma 3.1: Inequalities for Adjoint Matrices with Complex Entriestheoretical
55
Determinant Bounds for I - A under Complex Column-Sum Conditionstheoretical
56
Equivalent and Indecomposable Matrices; Strengthening Classical Nonsingularity Resultstheoretical
57
Further Estimates for Determinants of Complex Matricestheoretical
58
Quasi-Inverse and Modulus-Based Bounds for Adjoint Rows and Determinantstheoretical
59
Matrices with Non-Negative Elements: Adjoint, Determinant, and Quasi-Inverse Inequalitiestheoretical
60
Applications to Related Constants of I - Atheoretical
61
Invariant Properties of Minkowski-Leontief Matricestheoretical
62
Appendix I: Further Inequalities from the Quasi-Inverse Diagonaltheoretical
63
Bibliography for Inequalities for Minkowski-Leontief Matricesbibliography
64
Some Mathematical Concepts for Linear Economic Models: Introductionessay
65
An Inequality for Characteristic Valuestheoretical
66
Carl Neumann's Seriestheoretical
67
The Resolventstheoretical
68
The Modulus of A and Its Relation to the Dominant Characteristic Value of AA'theoretical
69
The Modulus of L = I - Atheoretical
70
Note on the Quasi-Inverse of a Square Matrix: Its Economic Significance and an Applicationtheoretical
71
Inner Products of Vectors Relative to a Symmetric, Positive-Definite Matrixtheoretical
72
Convexity Property of Minkowski-Leontief Matricestheoretical
73
Economic Significance and Geometrical Meaning of Determinantstheoretical
74
Volume of Net Productiontheoretical
75
Economic Interpretation of the Adjoinstheoretical
76
Properties of Leontief-Type Input-Output Matrices: Introductiontheoretical
77
Determinantal Bounds for Leontief-Type Matricestheoretical
78
Characterization of Singular Leontief-Type Matricestheoretical
79
The Positive Nature of the Inverses of Leontief Matricestheoretical
80
Bibliography to Properties of Leontief-type Input-output Matricesbibliography
81
Characteristic Roots of Input-Output Matricestheoretical
82
"Continuous" Programmingessay
83
Matrices and Treestheoretical
84
An Economic Application of "Matrices and Trees"essay
85
Generalization: Trees, Leontief Determinants, and Principal Minorstheoretical
86
Exceptional Cases for Tree Construction in Leontief Systemstheoretical
87
Numerical Computations: Overview and Table I Input Coefficientstheoretical
88
Numerical Computations: Table II Inverse of I-Atheoretical
89
Numerical Computations: Tables III-V Characteristic Polynomial and Eigenvaluestheoretical
90
Numerical Computations: Tables VI-IX Characteristic Values and Vectorstheoretical
91
The Logic of the Laws of Return: Prefaceessay
92
Introduction to Meta-Economic Analysis of the Laws of Returnessay
93
The Law of Diminishing Return on Landtheoretical
94
Properties of the Production Functiontheoretical
95
What Follows from the Boundedness of the Production Function?theoretical
96
The Classical Proofs of the Law of Diminishing Returns on Landtheoretical
97
L. v. Mises' Proof of the Law of Diminishing Returnstheoretical
98
Boehm-Bawerk's Prooftheoretical
99
Wicksell's Prooftheoretical
100
The Impossibility of Proving Diminishing Product Increments from the Production Function Properties Consideredtheoretical
101
The Proposition of Non-Increasing Product Increments and Super-Additivitytheoretical
102
Relationship Between Diminishing Average Product and Diminishing Product Incrementstheoretical
103
Economic Goods and the Laws of Returntheoretical
104
Concluding Remarks on Production Functions, Value, and Logical Methodtheoretical
105
Experiment and Large Scale Computation in Economics: Front Matter and Contentsessay
106
Introduction: Thought Experiments, Physical Experiments, and Computationessay
107
The Development Towards Computation in Economicsessay
108
Relation Between Computation and Experimentessay
109
The Direct Experiment and Measurementessay
110
V.A. Direct Experiments in Economicstheoretical
111
V.B. Indirect Experiments: Definitions and Public Calculationstheoretical
112
V.B. Indirect Experiments: Private Business Calculationstheoretical
113
V.B. Indirect Experiments of Economic Sciencetheoretical
114
VI. Non-Theoretical Data Generation by Computationtheoretical
115
VII. Concluding Remarkstheoretical
116
Index and Library Date Due Recordsbibliography