<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The paper studies a Cournot game involving <italic>n</italic> private firms, where the firms’ interactions are analyzed in a discrete-time setting with time delay. The past production levels of other private firms have an impact on the production levels of each private firm. We performed a local stability analysis on the nonlinear system associated with the model and found that it has only one equilibrium point, which is asymptotically stable if and only if some conditions involving the number of firms, the degree of product di erentiation and the time delay are fulfilled. In addition, numerical examples are presented in this paper, which illustrate the theoretical results obtained.</p>
</abstract>

The paper studies a Cournot game involving n private firms, where the firms’ interactions are analyzed in a discrete-time setting with time delay. The past production levels of other private firms have an impact on the production levels of each private firm. We performed a local stability analysis on the nonlinear system associated with the model and found that it has only one equilibrium point, which is asymptotically stable if and only if some conditions involving the number of firms, the degree of product di erentiation and the time delay are fulfilled. In addition, numerical examples are presented in this paper, which illustrate the theoretical results obtained.

Stability properties of a Cournot-type oligopoly model with time delay

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The paper studies a Cournot game involving n private firms, where the firms’ interactions are analyzed in a discrete-time setting with time delay. The past...

Stability properties of a Cournot-type oligopoly model with time delay

Published Online: Sep 21, 2023

Page range: 121 - 129

DOI: https://doi.org/10.2478/awutm-2023-0010

Keywords
equilibrium point, local stability, oligopoly game, bifurcations

© 2023 Loredana Camelia Culda, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Stability properties of a Cournot-type oligopoly model with time delay

Published Online: Sep 21, 2023

Page range: 121 - 129

DOI: https://doi.org/10.2478/awutm-2023-0010

Keywordsequilibrium point, local stability, oligopoly game, bifurcations

© 2023 Loredana Camelia Culda, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
equilibrium point, local stability, oligopoly game, bifurcations