Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
The class of differential games with continuous updating is quite new, there it is assumed that at each time instant, players use information about the game structure (motion equations and payoff functions of players) defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. A linear-quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. In this paper, it is particularly interesting that the open-loop strategies are used to construct the optimal ones, but subsequently, we obtain strategies in the feedback form. Using these strategies the notions of Shapley value and Nash equilibrium as optimality principles for cooperative and non-cooperative cases respectively are defined and the optimal strategies for the linear-quadratic case are presented.
Original language | English |
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Title of host publication | Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings |
Editors | Alexander Kononov, Michael Khachay, Valery A. Kalyagin, Panos Pardalos |
Publisher | Springer Nature |
Pages | 212-230 |
Number of pages | 19 |
ISBN (Print) | 9783030499877 |
DOIs | |
State | Published - 1 Jan 2020 |
Event | 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020 - Novosibirsk, Russian Federation Duration: 6 Jul 2020 → 10 Jul 2020 |
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 12095 LNCS |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference | 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020 |
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Country/Territory | Russian Federation |
City | Novosibirsk |
Period | 6/07/20 → 10/07/20 |
ID: 62445314