TY - JOUR
T1 - Small BV solutions of hyperbolic noncooperative differential games
JF - SIAM J. Control Optim. 43 (2004) 194-215
Y1 - 2004
A1 - Alberto Bressan
A1 - Wen Shen
AB - 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.
PB - SIAM
UR - http://hdl.handle.net/1963/2917
U1 - 1783
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -