| Title | Small BV solutions of hyperbolic noncooperative differential games |
| Publication Type | Journal Article |
| Year of Publication | 2004 |
| Authors | Bressan, A, Shen, W |
| Journal | SIAM J. Control Optim. 43 (2004) 194-215 |
| Abstract | The paper is concerned with an n-persons 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 non-cooperative differential game. |
| URL | http://hdl.handle.net/1963/2917 |
| DOI | 10.1137/S0363012903425581 |
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