On a Generalized 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.

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

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