Extended Abstract: In the literature of voluntarily repeated Prisoner’s Dilemma type games (Fujiwara-Greve and Okuno-Fujiwara, 2009, etc.) with no information flow, the focus is on how long-term cooperation is established. In this paper we investigate how non-cooperative and cooperative players co-exist. In many incomplete information versions of a similar model (Ghosh and Ray, 1996, etc.), inh...