A note on the stability of Cournot points of duopoly models with time delay

In this paper, we consider duopoly models with delays. We find the conditions to have an asymptotically stable fixed point, called Cournot points. Furthermore, we show that in some cases, the stability regions decrease when the delay grows, but the delay does not affect the stability in other cases. Finally, our results are applied to well-known duopoly models.

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Publication Details

Journal
Journal of Dynamics and Games
Published
2025-04-14
DOI
https://doi.org/10.3934/jdg.2025013
Primary Topic
Merger and Competition Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

A note on the stability of Cournot points of duopoly models with time delay

José S. Cánovas
1 links
Journal of Dynamics and Games
Merger and Competition Analysis
article

A note on the stability of Cournot points of duopoly models with time delay

José S. Cánovas
article en

Abstract

In this paper, we consider duopoly models with delays. We find the conditions to have an asymptotically stable fixed point, called Cournot points. Furthermore, we show that in some cases, the stability regions decrease when the delay grows, but the delay does not affect the stability in other cases. Finally, our results are applied to well-known duopoly models.

Journal of Dynamics and GamesVol. 13(0)
European Commission, European Regional Development Fund, Agencia Estatal de Investigación
Openalex Percentile: Top 89%
Merger and Competition Analysis
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A note on the stability of Cournot points of duopoly models with time delay — José S. Cánovas · Journal of Dynamics and Games (2025) | TGRS Research Map | TGRS