  We study two-player zero-sum stopping games in continuous time and infinite
horizon. We prove that the value in randomized stopping times exists as soon as
the payoff processes are right-continuous. In particular, as opposed to
existing literature, we do not assume any conditions on the relations between
the payoff processes. We also show that both players have simple epsilon-
optimal randomized stopping times; namely, randomized stopping times which are
small perturbations of non-randomized stopping times.
