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Small BV solutions of hyperbolic noncooperative differential games

TitleSmall BV solutions of hyperbolic noncooperative differential games
Publication TypeJournal Article
Year of Publication2004
AuthorsBressan, A, Shen, W
JournalSIAM J. Control Optim. 43 (2004) 194-215
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.

URLhttp://hdl.handle.net/1963/2917
DOI10.1137/S0363012903425581

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