Computing the Natural Factors of a Closed Expanding Economy Model.

Abstract

In 1956 Kemeny, Morgenstern and Thompson published a generalization of von Neumann's expanding economy model and showed that there were a finite number of economically interesting expansion factors which in turn determine subeconomies. In 1967, Hamburger, Thompson and Weil showed how to compute the maximum and minimum expansion factors. In 1970-72 Thompson and Weil provided a characterization of the factors as generalized eigenvalues. In the present paper a constructive algorithm for finding all the natural factors of the closed model is presented. It is based on finding central solutions to matrix games and an improved version of the Hamburger, Thompson, Weil technique referenced to above. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1974
Accession Number
AD0779083

Entities

People

  • Gerald L. Thompson

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Matrix Games

Readers

  • Game Theory.
  • Graph Algorithms and Convex Optimization.