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Re:Amazon ‘flooded by fake five-star reviews’ – report by FakeComments on Tuesday April 16, 2019 @12:39PM (#19675113)
That doesn’t require infinite length, just indeterminate length and more than a single round (on average, or with certain rate).

And I’m not sure that it doesn’t apply to the case where:

A) You can’t determine when the game will end, and

B) There’s very often several rounds.

That seems to cover “society”, in a broad sense.

Re:Amazon ‘flooded by fake five-star reviews’ – report by philipov on Tuesday April 16, 2019 @02:03PM (#19675826)
Yes, that's what I'm saying. Whether it applies to society or not depends on how often you have repeat interactions with the same person. For example, in a big city where you can expect to never run into someone again, I would expect people to favor Betray over Cooperate. Whereas, in a small village where you can't escape the people around you, I would expect people to favor Cooperate.