Wei_Dai comments on Fairness and Geometry - Less Wrong

9 Post author: cousin_it 22 July 2009 10:44AM

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Comment author: Wei_Dai 23 July 2009 11:24:42AM 0 points [-]

If one of the PD players has a third option of "get two bucks guaranteed and screw everyone else" - if the game structure doesn't allow other players to punish him - then no algorithm at all can punish him. Or did you mean something else?

The "good and fair" solution needs to offer him a Pareto improvement over the outcome that he can reach by himself.

Comment author: cousin_it 23 July 2009 03:19:47PM *  0 points [-]

Wei Dai, thanks. I gave some thought to your comments and they seem to constitute a proof that any "purely geometric" construction (that depends only on the Pareto set) fails your criterion. Amending the post.

Comment author: cousin_it 23 July 2009 11:26:58AM *  0 points [-]

Sorry, I was being stupid. You're right.

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