Competition Among Manufacturers in Technological Innovation in the Market with Delayed Information
DOI:
https://doi.org/10.29020/nybg.ejpam.v7i2.2022Keywords:
delay-differential equation, endogenous competition, stability, Hopf-bifurcations, innovation technology, delayed informationAbstract
The search for information in memory of technological competitionprocess in the market is analysed using techniques widespread in
biomathematics. Here we examined the effects that delayed
information causes in choosing strategies process on the part of
manufacturers to supplant a technology by introducing an alternative
one. A differential-equation system with delays is presented to
describe the dynamics of an endogenous model with memory.
Situations of competition in which the market has several
manufacturers using the same technologies and are in competition are
analyzed. Conditions for stability and existence of periodic
oscilations by means of Hopf bifurcation is investigated.
Downloads
Published
2014-05-08
Issue
Section
Mathematical Modeling and Numerical Analysis
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.
How to Cite
Competition Among Manufacturers in Technological Innovation in the Market with Delayed Information. (2014). European Journal of Pure and Applied Mathematics, 7(2), 156-165. https://doi.org/10.29020/nybg.ejpam.v7i2.2022