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Manfred comments on [LINK] Prisoner's Dilemma? Not So Much - Less Wrong Discussion

4 Post author: torekp 20 May 2014 11:38PM

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Comment author: Manfred 21 May 2014 08:18:48PM *  4 points [-]

Looks like they deliberately use a conservative formulation of the "detrimental characteristics of a PD." Both players are required to have a dominant strategy, that leads to a situation where both are worse off than the optimal square.

A more expansive formulation would be something like "there is a Nash equilibrium that is not Pareto optimal." If the preference-ranking version of the PD is something like [[11],[24]][[42],[33]], this means that we'd also notice something interesting about the game [[22],[14]][[41],[43]], etc.

Comment author: torekp 22 May 2014 12:39:39AM 4 points [-]

I find the narrow definition of "PD-type" games useful. You raise a good question though, to which the author's answer is

we find a total 34 (=4.68%) games which have a unique inefficient Nash-equilibrium.

Comment author: tut 03 June 2014 04:10:27PM *  0 points [-]

there is a Nash equilibrium that is not Pareto optimal

Like Stag Hunt.

What they argue is that mechanisms for producing mutual cooperation in games like your more expansive formulation but that don't match the deliberately conservative formulation might have been important in the evolution of cooperativeness.