Nonlinear stochastic effects of substitution - An evolutionary approach

E. Bruckner, W. Ebeling, M. A. Jiménez Montaño, A. Scharnhorst

Research output: Contribution to journal/periodicalArticleScientificpeer-review

Abstract

Technological innovations have been investigated by means of substitution and diffusion as well as evolution models, each of them dealing with different aspects of the innovation problem. In this paper we follow the well known research traditions on self-organisation models of complex systems. For the first time in the literature we show the existence of a specific niche effect, which may occur in the first stage of establishment of a new technology. Using a stochastic Master equation approach, we obtain analytical expressions for the survival probabilities of a new technology in smaller or larger ensembles. As a main result we demonstrate how a hyperselection situation might be removed in a stochastic picture and thresholds against the prevailing of a new technology in a step-by-step process can be overcome.

Original languageEnglish
Pages (from-to)1-30
Number of pages30
JournalJournal of Evolutionary Economics
Volume6
Issue number1
DOIs
Publication statusPublished - 1996

Keywords

  • Evolution
  • Innovation
  • Master equation
  • Survival probability
  • Technology

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