From optimal control to non-cooperative differential games: a homotopy approach

• Autorzy: Bressan A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimal control; non-cooperative differential games; Nash equilibrium solution; optimal feedback control

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 4A
• Strony: 1081--1106
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Bressan A.

• Department of Mathematics, Penn State University, University Park, Pa. 16802, USA,

Bibliografia

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