%0 Journal Article
%T A strategy-based proof of the existence of the value in zero-sum differential games
%A Juan Pablo Maldonado L¨®pez
%A Miquel Oliu-Barton
%J Mathematics
%D 2013
%I arXiv
%X The value of a zero-sum differential games is known to exist, under Isaacs' condition, as the unique viscosity solution of a Hamilton-Jacobi-Bellman equation. In this note we provide a self-contained proof based on the construction of $\ep$-optimal strategies, which is inspired by the "extremal aiming" method from Krasovskii and Subbotin.
%U http://arxiv.org/abs/1301.6409v1