Bifurcation Dynamics of a Cournot game model with finite number of competing firms via the OGY method
Supervisor Name
Abdelrahim Mousa
Supervisor Email
asaid@birzeit.edu
University
Birzeit University
Research field
Mathematics
Bio
https://sites.google.com/a/ritaj.ps/abdelrahim-mousa/home
In this project we aim to extend the new work published by M. Azioune et al. (see [1]) by considering finite number of competing firms in a Cournot model. We will derive the best responses and the corresponding equilibrium solutions for this game. We will study the stability of these equilibria (attractor or repulsive) and their dependence on the parameter rates. We will show any chaotic behavior through numerical simulations and control such behavior to stabilize the system by employing the OGY method. [1] M. Azioune, M. S. Abdelouahab and R. Lozi. Bifurcation Analysis of a Cournot Triopoly Game with Bounded Rationality and Chaos Control Via the OGY Method, International Journal of Bifurcation and Chaos, Vol. 35, No. 08, 2530019 (2025).
