Balanced growth in a modified von Neumann model

Subject. This article deals with the problem of constructing a Leontief's input–output matrix. Objectives. The article aims to determine the rules for constructing a Leontief's input–output matrix on the basis of data on production time and quantity of product output. Methods. For the study, I used the methods of logical and mathematical analyses. Results. The article formulates the rules for constructing a Leontief's input–output matrix, taking into account differences in the time of production, quantity of output, as well as the conditions for the reproduction of the resources expended. It summarizes these rules for the J. von Neumann model. Conclusions. The proposed approach to the analysis of the material mechanism of economic reproduction defines the relationship between the quantitative and cost characteristics of the production and consumption of products and resources. This relationship opens up new opportunities for the application of input–output models to create simple and accurate algorithms for identifying and predicting the macroeconomic trends.

Balanced growth with von Neumann technology

Dynamic Economic Systems ◽

10.4324/9781315496290-6 ◽

2019 ◽

pp. 53-69

Author(s):

John.M Blatt

Keyword(s):

Von Neumann ◽

Balanced Growth

The von Neumann Model as a Chaotic Attractor

Chaotic Economic Dynamics ◽

10.1093/0198283350.003.0003 ◽

1990 ◽

pp. 30-40

Author(s):

Richard M. Goodwin

Keyword(s):

Chaotic Attractor ◽

Von Neumann ◽

Neumann Model

On a Generalized Von Neumann Model

International Economic Review ◽

10.2307/2525627 ◽

1965 ◽

Vol 6 (1) ◽

pp. 115 ◽

Cited By ~ 3

Author(s):

Hanjiro Haga ◽

Mikiro Otsuki

Keyword(s):

Von Neumann ◽

Neumann Model

Modeling of Stochastic Von Neumann Model of Mobile Service

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.474-476.11 ◽

2011 ◽

Vol 474-476 ◽

pp. 11-14

Author(s):

Fang Qin Xu ◽

Lei Jiang

Keyword(s):

Singular Systems ◽

Mobile Services ◽

Mobile Service ◽

Output Process ◽

Input Output ◽

Parameter Uncertainties ◽

Von Neumann ◽

General Systems ◽

The Stability ◽

Neumann Model

A stochastic Von Neumann model to describe companies’ input-output process on mobile services is provided. Through the theories from input-output economics, an extended singular stochastic Von Neumann model on mobile service is researched. The problem of stability of this kind of stochastic Von Neumann model on mobile services is researched. A new mathematic method is applied to study the singular systems without converting them into general systems. The parameter uncertainties are considered. A new stability criterion for the extended stochastic Von Neumann model is given to ensure the stability of input-output model.

Extension of Von Neumann Model of National Economic System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.55-57.101 ◽

2011 ◽

Vol 55-57 ◽

pp. 101-104

Author(s):

Yong Heng Li ◽

Xia Li

Keyword(s):

Linear System ◽

Economic System ◽

Discrete Time ◽

Singular System ◽

Von Neumann ◽

Sufficient Stability Condition ◽

National Economic ◽

Economical System ◽

The Stability ◽

Neumann Model

The Von Neumann Model on national economical system is investigated. A new discrete-time input-output model on national economic system based on the classic Von Neumann Model is provided and the stability of this kind of model is researched. This new system belongs to the singular system. By the new mathematic method, this singular linear system will not be converted into the general linear system. Finally, a sufficient stability condition under which the discrete-time singular Extended Von Neumann Model is admissible is proved.

The von Neumann model of measurement in quantum mechanics

10.1063/1.4861702 ◽

2014 ◽

Cited By ~ 1

Author(s):

Pier A. Mello

Keyword(s):

Quantum Mechanics ◽

Von Neumann ◽

Neumann Model

PRIVATE AND PUBLIC CONSUMPTION AND SAVINGS IN THE VON NEUMANN MODEL OF AN EXPANDING ECONOMY

Kyklos ◽

10.1111/j.1467-6435.1967.tb00855.x ◽

1967 ◽

Vol 20 (4) ◽

pp. 387-410 ◽

Cited By ~ 18

Author(s):

Oskar Morgenstern ◽

Gerald L. Thompson

Keyword(s):

Von Neumann ◽

Public Consumption ◽

Private And Public ◽

Neumann Model

ON A GENERALIZED VON NEUMANN MODEL

Metroeconomica ◽

10.1111/j.1467-999x.1980.tb00606.x ◽

1980 ◽

Vol 32 (1) ◽

pp. 51-62 ◽

Cited By ~ 6

Author(s):

Neri Salvadori

Keyword(s):

Von Neumann ◽

Neumann Model

Do Prudent Agents Play Lotteries? Von Neumann's Contribution to the Theory of Rational Behavior

Journal of the History of Economic Thought ◽

10.1080/10427710500509714 ◽

2006 ◽

Vol 28 (1) ◽

pp. 95-109 ◽

Cited By ~ 6

Author(s):

Nicola Giocoli

Keyword(s):

Game Theory ◽

Set Theory ◽

100Th Anniversary ◽

Economic Behavior ◽

Rational Behavior ◽

John Von Neumann ◽

Von Neumann ◽

Balanced Growth ◽

The Relationship ◽

Fixed Point Techniques

The year 2003 marked the 100th anniversary of the birth of John von Neumann (1903–1957), one of greatest geniuses of the last century. Beyond contributing to fields as diverse as set theory, quantum mechanics, atomic energy, and automatic computing, von Neumann has also had a decisive influence upon modern economics. From the invention of game theory to the axiomatization of expected utility, from the introduction of convex analysis and fixed-point techniques to the development of the balanced growth model, the von Neumann heritage can be clearly traced in several areas of our discipline. The aim of this paper is to clarify the relationship between the two concepts of rationality he devised in his classic 1944 book Theory of Games and Economic Behavior, written with the collaboration of the Austrian economist Oskar Morgenstern (von Neumann and Morgenstern 1953).