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You come back at with some silly argument about how rake would make it unprofitable to play against a perfect player. Obviously we wouldn't be playing poker if such players existed (in any significant number). A better argument would have been that a Nash strategy is unprofitable to play (given rake) against a bad player. That, i know you can't prove and i'm certain is not the case. A nash poker strategy is quite complex, and gives opponents plenty of room for mistakes.



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You haven't a clue what's Nash equilibrium for hold'em. No one knows it. But we do know many of the most successful players deviate from it. You don't really think Ivey, Negreanu, or Hansen are using optimal strategy, do you?

In poker it's about using the best exploitive strategy. This strategy will blow up if opponents' knew what you were doing and exploited you. Still it's the best EV strategy.