Small BV Solutions of Hyperbolic Non-cooperative Differential Games
Alberto Bressan, Wen Shen
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.
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- Alberto Bressan,
- Wen Shen,
- Publishing information:
- To appear in SIAM Journal On Control and Optimization
- (25 pages)
- Submitted by:
March 19 2003; updated September 16 2003.
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