Preprint 2003-021

Small BV Solutions of Hyperbolic Non-cooperative Differential Games

Alberto Bressan, Wen Shen

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.

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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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