Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.
Original language | English |
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Title of host publication | Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings |
Editors | Michael Khachay, Yury Kochetov, Panos Pardalos |
Publisher | Springer Nature |
Pages | 635-650 |
Number of pages | 16 |
ISBN (Print) | 9783030226282 |
DOIs | |
State | Published - 1 Jan 2019 |
Event | 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 - Ekaterinburg, Russian Federation Duration: 8 Jul 2019 → 12 Jul 2019 |
Name | Lecture Notes in Computer Science |
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Publisher | SPRINGER INTERNATIONAL PUBLISHING AG |
Volume | 11548 |
ISSN (Print) | 0302-9743 |
Conference | 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 |
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Country/Territory | Russian Federation |
City | Ekaterinburg |
Period | 8/07/19 → 12/07/19 |
ID: 44440319