Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating
We have built and investigated analytically and numerically a differential game model of Cournot oligopoly with consideration of pollution, network structure, and continuous updating. Up to this time, games with network structure and continuous updating were considered separately. We analyzed time c...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Games |
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| Online Access: | https://www.mdpi.com/2073-4336/16/1/9 |
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| author | Guennady Ougolnitsky Alexey Korolev |
| author_facet | Guennady Ougolnitsky Alexey Korolev |
| author_sort | Guennady Ougolnitsky |
| collection | DOAJ |
| description | We have built and investigated analytically and numerically a differential game model of Cournot oligopoly with consideration of pollution, network structure, and continuous updating. Up to this time, games with network structure and continuous updating were considered separately. We analyzed time consistency for a cooperative solution of the game. For a specific example, we built a non-empty subgame perfect subcore. We considered stochastic versions of the proposed model and received results similar to the deterministic case. |
| format | Article |
| id | doaj-art-03235df2d5e643a9868336c6f3169452 |
| institution | DOAJ |
| issn | 2073-4336 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Games |
| spelling | doaj-art-03235df2d5e643a9868336c6f31694522025-08-20T03:12:05ZengMDPI AGGames2073-43362025-02-01161910.3390/g16010009Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous UpdatingGuennady Ougolnitsky0Alexey Korolev1Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, 344090 Rostov-on-Don, RussiaSaint Petersburg State Electrotechnical Institute, 197022 St. Petersburg, RussiaWe have built and investigated analytically and numerically a differential game model of Cournot oligopoly with consideration of pollution, network structure, and continuous updating. Up to this time, games with network structure and continuous updating were considered separately. We analyzed time consistency for a cooperative solution of the game. For a specific example, we built a non-empty subgame perfect subcore. We considered stochastic versions of the proposed model and received results similar to the deterministic case.https://www.mdpi.com/2073-4336/16/1/9differential game theoryCournot oligopolynetwork structurecontinuous updatingtime consistencysubgame perfectness |
| spellingShingle | Guennady Ougolnitsky Alexey Korolev Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating Games differential game theory Cournot oligopoly network structure continuous updating time consistency subgame perfectness |
| title | Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating |
| title_full | Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating |
| title_fullStr | Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating |
| title_full_unstemmed | Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating |
| title_short | Differential Games of Cournot Oligopoly with Consideration of Pollution, Network Structure, and Continuous Updating |
| title_sort | differential games of cournot oligopoly with consideration of pollution network structure and continuous updating |
| topic | differential game theory Cournot oligopoly network structure continuous updating time consistency subgame perfectness |
| url | https://www.mdpi.com/2073-4336/16/1/9 |
| work_keys_str_mv | AT guennadyougolnitsky differentialgamesofcournotoligopolywithconsiderationofpollutionnetworkstructureandcontinuousupdating AT alexeykorolev differentialgamesofcournotoligopolywithconsiderationofpollutionnetworkstructureandcontinuousupdating |