Before revision: We develop the stochastic Perron's method  in the framework of stochastic target games  , in which one player tries to find a strategy such that the state process almost-surely reaches a given target no matter which action is chosen by the other player.
After revision: We develop the stochastic Perron's method (see e.g. arXiv: 1212.2170) in the framework of stochastic target games , in which one player tries to find a strategy such that the state process almost-surely reaches a given target no matter which action is chosen by the other player.