Infinite Horizon Noncooperative Differential Games

Details Infinite Horizon Noncooperative Differential Games Infinite Horizon Noncooperative Differential Games

2005-05-11

arxiv.org/abs/math/0505212v1

Mathematics

Analysis of PDEs

25 pages, 7 figures

Scientific paper

For a non-cooperative differential game, the value functions of the various players satisfy a system of Hamilton-Jacobi equations. In the present paper, we consider a class of infinite-horizon games with nonlinear costs exponentially discounted in time. By the analysis of the value functions, we establish the existence of Nash equilibrium solutions in feedback form and provide results and counterexamples on their uniqueness and stability.

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