Small BV Solutions of Hyperbolic Noncooperative Differential Games

Alberto Bressan · Wen Xian Shen

29 citations0/0 files storedSIAM Journal on Control and Optimization

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Game Theory and Applications Optimization and Variational Analysis Guidance and Control Systems

Abstract

The paper is concerned with an n-person 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 noncooperative differential game.

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1972Stochastic differential games 2004Semi-cooperative strategies for differential games

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2007Self-Organization in Pedestrian Flow

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