@article {2004, title = {Small BV solutions of hyperbolic noncooperative differential games}, journal = {SIAM J. Control Optim. 43 (2004) 194-215}, number = {SISSA;21/2003/M}, year = {2004}, publisher = {SIAM}, 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.}, doi = {10.1137/S0363012903425581}, url = {http://hdl.handle.net/1963/2917}, author = {Alberto Bressan and Wen Shen} }