Analysis of a Cournot-Bertrand Duoploy Game with Differentiated Products: Stability, Bifurcation and Control
Asian Research Journal of Mathematics · pp. 115–125 · Published 23 Aug 2022
10.9734/arjom/2022/v18i1030422Abstract
this work, we investigate a Cournot-Bertrand duopoly model with product differentiation between two different firms, where one company uses price as a decision variable and the other uses quantity. The stability of the Nash equilibrium point is investigated, and the role of the parameters on the model stability is studied. It is shown that the system experiences three different types of bifurcations when the parameters go through the different boundary curves of the stability region. Furthermore, the model's bifurcation is controlled using a hybrid control strategy.
Cited by 3
Yu-Chung Chang · Quantum Information Processing · 2025
Yu-Chung Chang · Physica Scripta · 2025
Ahmad Suleman, Rizwan Ahmed, Fehaid Salem Alshammari · AIMS Mathematics · 2023
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