Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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AN ALTERNATIVE APPROACH FOR TIME LAG IN A GAME MODEL WITH R&D SPILLOVERS

Authors

  • Luca Guerrini

Keywords:

duopoly, Hopf bifurcation, R&D, time delay.

DOI:

https://doi.org/10.17654/0972096022001

Abstract

In this paper, a dynamic duopoly game model of R&D competition is built. The local stability of the Nash equilibrium point is discussed. We found that the system may lose its stability and produce complex dynamic behavior.

Received: November 5, 2021
Accepted: December 29, 2021

References

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B. A. Pansera, L. Guerrini, M. Ferrara and T. Ciano, Bifurcation analysis of a duopoly game with R&D spillover, price competition and time delays, Symmetry 12 (2020), 257-268.

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W. Zhou and X.-X. Wang, On the stability and multistability in a duopoly game with R&D spillover and price competition, Discrete Dyn. Nat. Soc. (2019), Art. ID 2369898, 20 pp. https://doi.org/10.1155/2019/2369898.

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Published

2022-01-31

Issue

Vol. 112 (2022)

Section

Articles

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How to Cite

AN ALTERNATIVE APPROACH FOR TIME LAG IN A GAME MODEL WITH R&D SPILLOVERS. (2022). Far East Journal of Applied Mathematics, 112, 1-9. https://doi.org/10.17654/0972096022001