Abstract
The paper is concerned with an n-person differential game in one space dimension. We state conditions for which the system of Hamilton-Jacobi equations for the value functions is strictly hyperbolic. In the positive case, we show that the weak solution of a corresponding system of conservation laws determines an n-tuple of feedback strategies. These yield a Nash equilibrium solution to the noncooperative differential game.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 194-215 |
| Number of pages | 22 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- Control and Optimization
- Applied Mathematics