Does the prisoner dilemma have a non-pure strategy Nash equilibrium?

239 Views Asked by At

I would like to know whether this Prisoner Dilemma has a non-pure strategy Nash Equilibrium:

here is the link.

1

There are 1 best solutions below

0
On BEST ANSWER

A pure strategy is considered a special case of a mixed strategy, so it technically has a mixed strategy of playing defect with probability one and cooperate with probability zero. However there is no non-pure mixed strategy Nash equilibrium in a prisoner's dilemma because both players have strictly dominant strategies. Any possible mix with a positive weight on cooperating would be strictly dominated by a pure strategy of defecting.