Variations on the Prisoner's Dilemma

The Prisoner's Dilemma is familiar to us all, or ought to be. It has been discussed to death, yet never entirely resolved. There are several popular "best" strategies, and different reasons for favoring one or another. We will play a couple of variants of this game, and perhaps get some new insight into -- or at least new appreciation for -- the dilemma.

Attendees should be familiar with the basic problem (https://en.wikipedia.org/wiki/Prisoner%27s_dilemma), but Ben will not reveal the variants until we are ready to play, on the theory that intuitive first reactions are worth exploring.

Ben made these variants up, has not tested them, and doesn't know whether anyone has tried them before, so whether they will be interesting, illuminating and/or fun is anyone's guess.

(Note: Skyler is crossposting this, but Ben's the one running it.)