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Coscott comments on Open Thread, September 23-29, 2013 - Less Wrong Discussion
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I am wondering what a PD tournament would look like if the goal was to maximize the score of the group rather than the individual player. For some payoff matrices, always cooperate trivially wins, but what if C/D provides a greater net payoff than C/C, which in turn is higher than D/D? Does that just devolve to the individual game? It feels like it should, but it also feels like giving both players the same goal ought to fundamentally change the game.
I haven't worked out the math; the thought just struck me while reading other posts.
The game you are talking about should not be called PD.
The solution will be for everyone to pick randomly, (weighted based on the difference in C/C and D/D payoff) until they get a C/D outcome, and then just picking the same thing over and over. (This isn't a unique solution, but it seems like a Schelling point to me.)