OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT
Hree variants of the dynamic model of a duopoly are considered. Here’s one of the stationary points is the Cournot point. We study the movement around these points and the optimal investment control in a linear approximation. The equations of dynamics of variables for equilibrium, developing and cri...
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| Format: | Article |
| Language: | English |
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Publishing House of the State University of Management
2018-08-01
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| Series: | Вестник университета |
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| Online Access: | https://vestnik.guu.ru/jour/article/view/1121 |
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| author | Y. Aganin |
| author_facet | Y. Aganin |
| author_sort | Y. Aganin |
| collection | DOAJ |
| description | Hree variants of the dynamic model of a duopoly are considered. Here’s one of the stationary points is the Cournot point. We study the movement around these points and the optimal investment control in a linear approximation. The equations of dynamics of variables for equilibrium, developing and crisis markets in a linear approximation are obtained. A quasi-optimal Pareto maximization strategy for the vector prot criterion, using a linear convolution of the criteria along with the linearization of the dierential dynamics equations in the vicinity of the stationary points, is proposed. |
| format | Article |
| id | doaj-art-0ba133089e2c4e32b92ab39f4cceb74c |
| institution | Kabale University |
| issn | 1816-4277 2686-8415 |
| language | English |
| publishDate | 2018-08-01 |
| publisher | Publishing House of the State University of Management |
| record_format | Article |
| series | Вестник университета |
| spelling | doaj-art-0ba133089e2c4e32b92ab39f4cceb74c2025-02-04T08:27:56ZengPublishing House of the State University of ManagementВестник университета1816-42772686-84152018-08-01089910510.26425/1816-4277-2018-8-99-1051121OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINTY. Aganin0Государственный университет управленияHree variants of the dynamic model of a duopoly are considered. Here’s one of the stationary points is the Cournot point. We study the movement around these points and the optimal investment control in a linear approximation. The equations of dynamics of variables for equilibrium, developing and crisis markets in a linear approximation are obtained. A quasi-optimal Pareto maximization strategy for the vector prot criterion, using a linear convolution of the criteria along with the linearization of the dierential dynamics equations in the vicinity of the stationary points, is proposed.https://vestnik.guu.ru/jour/article/view/1121duopolydynamic modellinear approximationinvestmentoptimal control |
| spellingShingle | Y. Aganin OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT Вестник университета duopoly dynamic model linear approximation investment optimal control |
| title | OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT |
| title_full | OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT |
| title_fullStr | OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT |
| title_full_unstemmed | OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT |
| title_short | OPTIMAL CONTROL OF INVESTMENTS AROUND COURNOT POINT |
| title_sort | optimal control of investments around cournot point |
| topic | duopoly dynamic model linear approximation investment optimal control |
| url | https://vestnik.guu.ru/jour/article/view/1121 |
| work_keys_str_mv | AT yaganin optimalcontrolofinvestmentsaroundcournotpoint |