If one were to play a super turbo SNG and only push or fold and push or fold on the basis of a *perfect* Nash equilibrium push fold strategy then,

1. one would be playing an unexploitable strategy (which may or may not be optimal)

2. the strategy is only optimal against an opponent who is also playing the same strategy and is suboptimal but nonetheless still profitable against a different strategy.

3. If the opponent deviates from an unexploitable strategy then you profit and if he plays the same unexploitable strategy then you both break even excluding rake -> you both just lose the rake as the number of games tends to infinity.



Are these three points correct?

Does playing an unexploitable HU strategy in Super Turbo HUSNGs mean that as the number of games tends to infinity then you will at worst only lose rake and at best turn a profit? If the average HUSNG player does not play an unexploitable strategy then surely you would stand to profit from playing one yourself.



Thanks,
this is just a random question that popped into my head as I don't play HU games but I thought I would ask some peeps to see if what I was thinking was at all correct.