Preprint 2003-021

Small BV Solutions of Hyperbolic Non-cooperative Differential Games

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.

Paper:

Available as PDF (304 kbytes), PostScript (320 kbytes) or gzipped PostScript (128 Kbytes; uncompress using gunzip).

Author(s):

Alberto Bressan, <bressan@sissa.it>

Wen Shen, <shen@sissa.it>

Publishing information:

To appear in SIAM Journal On Control and Optimization

Comments:

(25 pages)

Submitted by:

<shen@sissa.it> March 19 2003; updated September 16 2003.