We consider a duopoly game model of R&D (research and development) rivalry between two high-tech firms with time delay, in which a monopoly sector with R&D spillover is studied using a mixture of game theory and nonlinear dynamics theory. The local asymptotic stability of the equilibrium point is studied by analyzing the corresponding characteristic equation. It is found that the delay can lead the system dynamic behavior to exhibit stability switches and Hopf bifurcations appear.
Hopf Bifurcation Analysis in a Modified R&D Model with Delay / Ferrara, M.; Guerrini, L.; Cao, Y.; Gangemi, M.. - In: AXIOMS. - ISSN 2075-1680. - 11:4(2022), p. 148. [10.3390/axioms11040148]
Hopf Bifurcation Analysis in a Modified R&D Model with Delay
Ferrara M.
Supervision
;Gangemi M.Membro del Collaboration Group
2022-01-01
Abstract
We consider a duopoly game model of R&D (research and development) rivalry between two high-tech firms with time delay, in which a monopoly sector with R&D spillover is studied using a mixture of game theory and nonlinear dynamics theory. The local asymptotic stability of the equilibrium point is studied by analyzing the corresponding characteristic equation. It is found that the delay can lead the system dynamic behavior to exhibit stability switches and Hopf bifurcations appear.| File | Dimensione | Formato | |
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