cousin_it comments on Prisoner's Dilemma on game show Golden Balls - Less Wrong

15 Post author: atorm 21 April 2012 12:31AM

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Comment author: cousin_it 25 April 2012 06:33:08PM *  8 points [-]

This game has multiple Nash equilibria and cheap talk is allowed, so correlated equilibria are possible. Here's how you implement a correlated equilibrium if your opponent is smart enough:

"We have two minutes to talk, right? I'm going to ask you to flip a coin (visibly to both of us) at the last possible moment, the exact second where we must cease talking. If the coin comes up heads, I promise I'll cooperate, you can just go ahead and claim the whole prize. If the coin comes up tails, I promise I'll defect. Please cooperate in this case, because you have nothing to gain by defecting, and anyway the arrangement is fair, isn't it?"

Comment author: Alsadius 26 April 2012 02:05:41AM 5 points [-]

This neglects diminishing marginal utility - few people would actually prefer a 50% chance at everything to a 100% chance at half of it. It does solve the coordination problem, though. Interesting approach.