Stability properties of a Cournot-type oligopoly model with time delay
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 o...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-06-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/awutm-2023-0010 |
| _version_ | 1797405106578128896 |
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| author | Culda Loredana Camelia |
| author_facet | Culda Loredana Camelia |
| author_sort | Culda Loredana Camelia |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T03:04:57Z |
| format | Article |
| id | doaj.art-6264f13ec2704351aed28f9b0c7fecd9 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-03-09T03:04:57Z |
| publishDate | 2023-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-6264f13ec2704351aed28f9b0c7fecd92023-12-04T08:02:53ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072023-06-0159112112910.2478/awutm-2023-0010Stability properties of a Cournot-type oligopoly model with time delayCulda Loredana Camelia01West University of Timisoara, Department of Mathematics, Timisoara, RomaniaThe 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.https://doi.org/10.2478/awutm-2023-0010equilibrium pointlocal stabilityoligopoly gamebifurcations34d2091a5091b55 |
| spellingShingle | Culda Loredana Camelia Stability properties of a Cournot-type oligopoly model with time delay Annals of the West University of Timisoara: Mathematics and Computer Science equilibrium point local stability oligopoly game bifurcations 34d20 91a50 91b55 |
| title | Stability properties of a Cournot-type oligopoly model with time delay |
| title_full | Stability properties of a Cournot-type oligopoly model with time delay |
| title_fullStr | Stability properties of a Cournot-type oligopoly model with time delay |
| title_full_unstemmed | Stability properties of a Cournot-type oligopoly model with time delay |
| title_short | Stability properties of a Cournot-type oligopoly model with time delay |
| title_sort | stability properties of a cournot type oligopoly model with time delay |
| topic | equilibrium point local stability oligopoly game bifurcations 34d20 91a50 91b55 |
| url | https://doi.org/10.2478/awutm-2023-0010 |
| work_keys_str_mv | AT culdaloredanacamelia stabilitypropertiesofacournottypeoligopolymodelwithtimedelay |