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Has there been research on Prisoner's Dilemma where the players have limited amounts of memory for keeping track of previous interactions?
That question's potentially ambiguous: does "previous interactions" mean previous moves within a single game, or previous games played? If the former, quite a bit of research on the PD played by finite state machines would fit. If the latter, Toby Ord's work on the "societal iterated prisoner's dilemma" would fit.