- Tytuł:
- From optimal control to non-cooperative differential games: a homotopy approach
- Autorzy:
- Bressan, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/970911.pdf
- Data publikacji:
- 2009
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal control
non-cooperative differential games
Nash equilibrium solution
optimal feedback control - Opis:
- We propose a new approach to the study of Nash equilibrium solutions to non-cooperative differential games. The original problem is embedded in a one-parameter family of differential games, where the parameter 0 ∈ [0,1] accounts for the strength of the second player. When 0 = 0, the second player adopts a myopic strategy and the game reduces to an optimal control problem for the first player. As 0 becomes strictly positive, Nash equilibrium solutions can be obtained by studying a bifurcation problem for the corresponding system of Hamilton-Jacobi equations.
- Źródło:
-
Control and Cybernetics; 2009, 38, 4A; 1081-1106
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł