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The paper is devoted to the optimality conditions as determined by Pontryagin’s maximum principle for a non-cooperative differential game with continuous updating. Here it is assumed that at each time instant players have or use information about the game structure defined for the closed time interval with a fixed duration. The major difficulty in such a setting is how to define players’ behavior as the time evolves. Current time continuously evolves with an updating interval. As a solution for a non-cooperative game model, we adopt an open-loop Nash equilibrium within a setting of continuous updating. Theoretical results are demonstrated on an advertising game model, both initial and continuous updating versions are considered. A comparison of non-cooperative strategies and trajectories for both cases are presented.
Язык оригинала | английский |
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Название основной публикации | Mathematical Optimization Theory and Operations Research |
Подзаголовок основной публикации | 19th International Conference, MOTOR 2020, Revised Selected Papers |
Редакторы | Yury Kochetov, Igor Bykadorov, Tatiana Gruzdeva |
Издатель | Springer Nature |
Страницы | 256-270 |
Число страниц | 15 |
ISBN (печатное издание) | 9783030586560 |
DOI | |
Состояние | Опубликовано - 2020 |
Событие | 19th International Conference on Mathematical Optimization Theory and Operations Research,MOTOR 2020 - Novosibirsk, Российская Федерация Продолжительность: 6 июл 2020 → 10 июл 2020 |
Название | Communications in Computer and Information Science |
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Том | 1275 CCIS |
ISSN (печатное издание) | 1865-0929 |
ISSN (электронное издание) | 1865-0937 |
конференция | 19th International Conference on Mathematical Optimization Theory and Operations Research,MOTOR 2020 |
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Страна/Tерритория | Российская Федерация |
Город | Novosibirsk |
Период | 6/07/20 → 10/07/20 |
ID: 70984324