Published December 25, 2023
| Version v1
Journal article
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Application of Lyapunov–Poincaré method of small parameter for Nash and Berge equilibrium designing in one differential two-player game
Creators
-
1.
Lomonosov Moscow State University
- 2. ФГБУН Центральный экономико-математический институт РАН
- 3. Государственный гуманитарно-технологический университет
Description
The Poincare small parameter method is actively used in celestial mechanics, as well as in the theory of differential equations and in its important section called optimal control. In this paper, the mentioned method is used to construct an explicit form of Nash and Berge equilibrium in a differential positional game with a small influence of one of the players on the rate of change of the state vector.
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Additional details
Identifiers
- ISSN
- 1994-9197