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Mathematical theory of expanding and contracting economies
1976
by
Morgenstern and Thompson
Mathematical Economics
Game Theory
John von Neumann
Planned Economy
Carl Menger
Methodology
Uncertainty
Stationary Economy
Interest Rates
Economic Goods
Overproduction
Economic Development
Price Theory
Balance of Payments
Price Controls
Economic Efficiency
Innovation
Exchange Rates
Capital Accumulation
Saving
Equilibrium
Deficit Spending
Otto Bauer
Taxation
Paul Samuelson
Infrastructure
Raw Materials
Business Cycles
Oskar Morgenstern
Comparative Advantage
International Trade
David Ricardo
Marshall Plan
Cartels
Subsidies
Labor Mobility
Exploitation
Karl Marx
Division of Labor
Gottfried Haberler
Capital Goods
Price Mechanism
Table of Contents · 111 segments
1
Front Matter and Table of Contents
essay
2
Preface
essay
3
Chapter 1: Scope and Method of Investigation
chapter
4
Chapter 2, Section 1: Introduction to the KMT Closed Model
theoretical
5
Chapter 2, Section 2: Axioms for the KMT Closed Model
theoretical
6
The von Neumann Assumption
theoretical
7
The KMT Assumptions
theoretical
8
Interpretation as a Game Theory Problem
theoretical
9
Existence of Economic Solutions
theoretical
10
Relaxation of the Free Goods and Inefficient Processes Restrictions
theoretical
11
The Introduction of Demand Into the KMT Model
theoretical
12
Exercises to Chapter 2
chapter
13
A Constructive Solution Method for the KMT Model: Introduction
chapter
14
The First Method for Solving Fair Games
theoretical
15
The Second Method for Solving Fair Games
theoretical
16
The Third Method for Solving Fair Games
theoretical
17
Basic Results on Central Strategies and Natural Expansion Factors
theoretical
18
Algorithm for Finding the Natural Expansion Factors
theoretical
19
Numerical Example of the Natural-Factor Algorithm
chapter
20
Historical Remarks on KMT Computation and Existence Proofs
chapter
21
Exercises for Chapter 3
chapter
22
Open Expanding Economy Model: Axioms, Assumptions, and Closed-Economy Special Case
theoretical
23
Chicken-and-Egg Examples for the Open Economy Model
chapter
24
Existence of Solutions for the Open Expanding Economy Model
theoretical
25
Properties of Open-Model Solutions and Range of Expansion Factors
theoretical
26
Chapter 4, Section 4: Further Examples
theoretical
27
Chapter 4, Section 5: Unequal Expansion and Interest Factors
theoretical
28
Chapter 4 Exercises
theoretical
29
Chapter 5, Section 1: Subeconomies in the Closed Model
theoretical
30
Chapter 5, Section 2: Disconnected Subeconomies in the Closed Model
theoretical
31
Chapter 5, Section 3: The Introduction of Aggregation into the Closed Model
theoretical
32
Chapter 5, Section 4: Subeconomies in the Open Model
theoretical
33
Chapter 5 Exercises
theoretical
34
Chapter 6, Section 1: Axioms and Assumptions
theoretical
35
Elementary Examples of Consumption and Savings in the Closed Model
chapter
36
Existence Theorem for the Closed Consumption-Savings Model
theoretical
37
More Complicated Examples: Parametric Curves, Multiple Solutions, and Computation
chapter
38
Consumption of Excess Production and Excess Value
theoretical
39
The Public Sector Model
theoretical
40
Exercises for the Closed Consumption-Savings Model
chapter
41
Consumption and Savings in the Open Model
theoretical
42
Consumption of Excess Production and Excess Value in the Open Model
theoretical
43
Examples of Consumption and Savings in the Open Model
chapter
44
Exercises for the Open Consumption-Savings Model and Opening of Chapter 8
chapter
45
Chapter 8 Introduction: Linear Programming Models for Expanding Economies
chapter
46
A Rural Economy
chapter
47
Technological Change and Agribusiness
chapter
48
The Urban Model
chapter
49
Addition of Service and Luxury Industries
chapter
50
Addition of Disposal and Defense Industries
chapter
51
Addition of Defense Requirement
chapter
52
Comparisons Among the Solutions
chapter
53
Exercises for Chapter 8
chapter
54
Chapter 9 Introduction: Long-Term Planning Models
chapter
55
Determination of Control Variables for the Static Model
chapter
56
Example for the Static Model
chapter
57
The One-Period Dynamic Open Model
chapter
58
Numerical Example of the One-Period Open Dynamic Model
theoretical
59
The N-Period Dynamic Open Expanding Economy Model
theoretical
60
Chapter 9 Exercises on Open Dynamic Models
theoretical
61
Stationarity, Contraction, and Compression of Economies: Introduction
chapter
62
Controlling Economic Growth
theoretical
63
Stationary Economies
theoretical
64
Contracting Economies
theoretical
65
Compression of Economies
theoretical
66
Chapter 10 Exercises on Stationarity, Contraction, and Compression
theoretical
67
The World Model: Introduction
chapter
68
The World Expanding Economy Model
theoretical
69
Existence of Natural World Transfer Prices
theoretical
70
Chapter 11 Section 4: Examples
theoretical
71
Chapter 11 Section 5: Effects on the World Model Solution of Changes in Control Variables
theoretical
72
Chapter 11 Exercises
theoretical
73
Chapter 12 Section 1: Trading Blocks
theoretical
74
Chapter 12 Section 2: Classes of International Transactions
theoretical
75
Chapter 12 Section 3: Causes of International Transactions
theoretical
76
Chapter 12 Section 4: Benefits from International Trade
theoretical
77
Chapter 12 Section 5: International Trade Theory and Expansion
theoretical
78
Chapter 12 Section 6: Summary
theoretical
79
Chapter 13 Section 1: Introduction
theoretical
80
Chapter 13 Section 2: Solutions of Ordinary and Expanding Leontief Models
theoretical
81
Chapter 13 Section 3: Solvability of the Leontief Input-Output Model
theoretical
82
Chapter 13 Section 4: Consistent Aggregation in the Leontief Model
theoretical
83
Chapter 13 Section 5: Expanding Models with Outside Demand
theoretical
84
Chapter 13 Section 6: Generalized Eigensystems
theoretical
85
Chapter 13 Section 7: Final Observations
theoretical
86
Chapter 13 Exercises and Opening Heading of Chapter 14
theoretical
87
Chapter 14: Review of New Concepts and Results Obtained
chapter
88
Chapter 14: The Next Steps
chapter
89
Chapter 14: Empirical Research Questions
chapter
90
Chapter 14: Theoretical Research Questions
chapter
91
Appendix 1: Matrix Game Theory — Definitions, Concepts, and Basic Results
theoretical
92
Appendix 1: Solving Economic Games
theoretical
93
Appendix 1: Theorem of the Alternative and Central Solutions
theoretical
94
Appendix 1: Continuity of the Economic Game Value
theoretical
95
Appendix 2: Linear Programming — Definitions, Concepts, and Basic Results
theoretical
96
Appendix 2: Goal Programming
theoretical
97
Complementary Slackness in Linear Programming
theoretical
98
Appendix 3: A Model of General Economic Equilibrium — Introduction
chapter
99
Von Neumann Model: Economic Problem and Production Processes
theoretical
100
Von Neumann Model: Equilibrium Inequalities and Reduction
theoretical
101
Von Neumann Model: Saddle Point Formulation and Game-Theory Link
theoretical
102
Von Neumann Model: Fixed-Point Lemma and Proof
theoretical
103
Von Neumann Model: Existence, Uniqueness, and Efficiency Characterization
theoretical
104
Appendix 4: Game-Theoretic Solution — Perturbation Theorems
essay
105
Appendix 4: Fair Convex Combination and Theorem 4
essay
106
Bibliography for Kemeny's Appendix 4
bibliography
107
Selective Bibliography for Mathematical Theory of Expanding and Contracting Economies
bibliography
108
Author Index
bibliography
109
Subject Index
bibliography
110
About the Authors
essay
111
Date Due and Catalog Record
bibliography