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http://hdl.handle.net/11701/45332
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | He, Yang | - |
dc.contributor.author | Petrosyan, Leon A. | - |
dc.date.accessioned | 2024-04-22T20:41:00Z | - |
dc.date.available | 2024-04-22T20:41:00Z | - |
dc.date.issued | 2024-03 | - |
dc.identifier.citation | He Y., Petrosyan L. A. A note on cooperative differential games with pairwise interactions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 1, pp. 91–108. https://doi.org/10.21638/11701/spbu10.2024.108 | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2024.108 | - |
dc.identifier.uri | http://hdl.handle.net/11701/45332 | - |
dc.description.abstract | In this paper, a differential game with pairwise interaction in a network is proposed. For explicitly, the vertices are players, and the edges are connections between them. Meanwhile, we consider the cooperative case. One special characteristic function is introduced and its convexity is proved. The core is used as a cooperative optimality principle. The characteristic function allows the construction of a time-consistent (dynamically stable) solutions, such as the Shapley value and the core. Finally, the results are illustrated by an example. | en_GB |
dc.description.sponsorship | This research was supported by the Russian Science Foundation (project N 22-11-00051, https://rscf.ru/project/22-11-00051/). | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 20; Issue 1 | - |
dc.subject | cooperative games | en_GB |
dc.subject | differential network games | en_GB |
dc.subject | pairwise interactions | en_GB |
dc.subject | pairwise interactions | en_GB |
dc.subject | characteristic function | en_GB |
dc.subject | the Shapley value | en_GB |
dc.subject | time-consistency | en_GB |
dc.title | A note on cooperative differential games with pairwise interactions | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
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Файл | Описание | Размер | Формат | |
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vestnik_spbu10_2024_091.pdf | 555,53 kB | Adobe PDF | Просмотреть/Открыть |
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