On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control
We consider various approaches for a characteristic function construction on the example of an <i>n</i> players differential game of pollution control with a prescribed duration. We explore the effect of the presence of an absorption coefficient in the game on characteristic functions. A...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/6/961 |
| _version_ | 1797565516542377984 |
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| author | Ekaterina Marova Ekaterina Gromova Polina Barsuk Anastasia Shagushina |
| author_facet | Ekaterina Marova Ekaterina Gromova Polina Barsuk Anastasia Shagushina |
| author_sort | Ekaterina Marova |
| collection | DOAJ |
| description | We consider various approaches for a characteristic function construction on the example of an <i>n</i> players differential game of pollution control with a prescribed duration. We explore the effect of the presence of an absorption coefficient in the game on characteristic functions. As an illustration, we consider a game in which the parameters are calculated based on the real ecological situation of the Irkutsk region. For this game, we compute a number of characteristic functions and compare their properties. |
| first_indexed | 2024-03-10T19:14:19Z |
| format | Article |
| id | doaj.art-b19e0bdf4f674d058241e3f899809f94 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:14:19Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b19e0bdf4f674d058241e3f899809f942023-11-20T03:34:59ZengMDPI AGMathematics2227-73902020-06-018696110.3390/math8060961On the Effect of the Absorption Coefficient in a Differential Game of Pollution ControlEkaterina Marova0Ekaterina Gromova1Polina Barsuk2Anastasia Shagushina3Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 198504 St. Petersburg, RussiaFaculty of Applied Mathematics and Control Processes, St. Petersburg State University, 198504 St. Petersburg, RussiaFaculty of Applied Mathematics and Control Processes, St. Petersburg State University, 198504 St. Petersburg, RussiaEPAM Systems, Inc., 22/2 Zastavskaya St., MegaPark, 196084 Saint Petersburg, RussiaWe consider various approaches for a characteristic function construction on the example of an <i>n</i> players differential game of pollution control with a prescribed duration. We explore the effect of the presence of an absorption coefficient in the game on characteristic functions. As an illustration, we consider a game in which the parameters are calculated based on the real ecological situation of the Irkutsk region. For this game, we compute a number of characteristic functions and compare their properties.https://www.mdpi.com/2227-7390/8/6/961differential gamesprescribed durationcharacteristic functionenvironmental resource managementpollution control |
| spellingShingle | Ekaterina Marova Ekaterina Gromova Polina Barsuk Anastasia Shagushina On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control Mathematics differential games prescribed duration characteristic function environmental resource management pollution control |
| title | On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control |
| title_full | On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control |
| title_fullStr | On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control |
| title_full_unstemmed | On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control |
| title_short | On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control |
| title_sort | on the effect of the absorption coefficient in a differential game of pollution control |
| topic | differential games prescribed duration characteristic function environmental resource management pollution control |
| url | https://www.mdpi.com/2227-7390/8/6/961 |
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