  We study quitting games and define the concept of absorption paths, which is
an alternative definition to strategy profiles that accomodates both discrete
time aspects and continuous time aspects, and is parameterized by the total
probability of absorption in past play rather than by time. We then define the
concept of sequentially 0perfect absorption paths, which are shown to be limits
of $\epsilon$-equilibrium strategy profiles as $\epsilon$ goes to 0. We finally
identify a class of quitting games that possess sequentially 0-perfect
absorption paths.
