DoomModeObv - It is not a profitable play.
In HU play, you want to get your opponent down to the bare blinds so all you have to do is go all in a few times with ATC and he is out. Lets say you have 3 2 OS three times in a row and he is going to be all in three times in a row with the blinds. And lets say he is holding A K OS each of these three times. Your ~35% underdog, meaning you will win only 35/100, or 7/20, or .35/1. So out of the three times you have him all in, you will win roughly 1.05 times (according to statistics).
If you want to give him your SB to try and pick up another hand the next hand (which you know he is going to shove with ATC in the SB if you folded there) then by all means go for it. HU is however you want to play. In fact, poker in general is however you want to play or however you see that makes you to the most profit.
But me personally, if he/she is down to a little less than 2.5BB, I am shoving with ATC to gamble. I know I will not win all of the times I shove to gamble, but I do know I have a chance of KO'ing him or her right then and there. And if you have the chips to do it, why not?
Want a real challenge? PM me about the Chris Ferguson challenge! (which I can now say I have completed myself!)
"I came into this world against my consent, and I will leave this world against my will." -Phil Laak
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