The aim of this study is to analyse a discrete-time two-stage game with R&D competition by considering a continuous-time set-up with fixed delays. The model is represented in the form of delay differential equations. The stability of all the equilibrium points is studied. It is found that the model exhibits very complex dynamical behaviours, and its Nash equilibrium is destabilised via Hopf bifurcations.

Bifurcation Analysis of a Duopoly Game with R&D Spillover, Price Competition and Time Delays

Ciano, T.
Methodology
2020-01-01

Abstract

The aim of this study is to analyse a discrete-time two-stage game with R&D competition by considering a continuous-time set-up with fixed delays. The model is represented in the form of delay differential equations. The stability of all the equilibrium points is studied. It is found that the model exhibits very complex dynamical behaviours, and its Nash equilibrium is destabilised via Hopf bifurcations.
2020
duopoly; Hopf bifurcation; R&D; time delay
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14087/11604
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