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

Victor Polterovich and Gennadi Henkin
Authors registered in the RePEc Author Service: Виктор Меерович Полтерович

MPRA Paper from University Library of Munich, Germany

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.

Keywords: innovation; imitation; diffusion; logistic distribution; efficiency; wave solution; stability; Burgers equation (search for similar items in EconPapers)
JEL-codes: O33 O41 (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Published in Matekon 1.26(1989): pp. 3-19

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/22555/1/MPRA_paper_22555.pdf original version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:22555

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().