Munich Personal RePEc Archive

An Evolutionary Model with Interaction between Development and Adoption of New Technologies

Polterovich, Victor and Henkin, Gennadi (1989): An Evolutionary Model with Interaction between Development and Adoption of New Technologies. Published in: Matekon , Vol. 26, No. 1 (1989): pp. 3-19.

[img]
Preview
PDF
MPRA_paper_22555.pdf

Download (3MB) | Preview

Abstract

We propose a difference-differential equation that reflects interactions between innovation and imitation processes to describe the evolution of the distribution curve of firms by efficiency levels. An explicit solution of this equation is obtained for arbitrary finite initial conditions. It is shown that this equation admits one-parametric family of logistic waves, and that arbitrary solution exponentially converges to one of the waves. This result explains two stylized empirical facts: the "logistic" shape of diffusion curves and the stable form of production capacities distribution by efficiency levels. Possible generalizations, modifications and applications are discussed.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.