Abstract
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 θ € [0,1] accounts for the strength of the second player. When θ= 0, the second player adopts a myopic strategy and the game reduces to an optimal control problem for the first player. As θ becomes strictly positive, Nash equilibrium solutions can be obtained by studying a bifurcation problem for the corresponding system of Hamilton-Jacobi equations.
Original language | English (US) |
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Pages (from-to) | 1081-1106 |
Number of pages | 26 |
Journal | Control and Cybernetics |
Volume | 38 |
Issue number | 4 |
State | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Applied Mathematics
- Modeling and Simulation