Competition Among Manufacturers in Technological Innovation in the Market with Delayed Information

Silvério Dos Santos JSS, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Katia A. G. Azevedo, Katia A. G. Azevedo, Paulo Torresan, Katia A. G. Azevedo, Paulo Torresan, Paulo Torresan, Katia A. G. Azevedo

Abstract

The search for information in memory of technological competition
  process 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.

Keywords

delay-differential equation, endogenous competition, stability, Hopf-bifurcations, innovation technology, delayed information

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