Nash Equilibrium Heads Up???

[ColdestCall]

I picked this quote out of the recent extremely lengthy debate about whether Ivey, et. al. could double Daliman & Co.'s win rate at the 200+15 SNGs, which I'm not going to comment on here because it would be distracting. What I am interested in knowing, though, is if someone could explain the following to me:

"Ummmm, isn't there a Nash equilibrium at pushing the top 65% hands and calling with the top 58% hands? In this case can't *I* (and believe me, I'm no Daliman )acheive 50% vs. Phil Ivey (or whomever) the big game wants to match me up with?"

I dont know if the poster was serious or not, because that thread got pretty tangled, but this strikes me as an interesting idea. Specifically, I would like to know what the blind assumptions for such optimal head up play would be, and, if such optimization exists, how would it vary as blinds varied as a percentage of stack sizes. Also, would the strategy require some sort of randomization for push/fold/call decisions? This sounds like some "heavy lifting" math, and I was wondering if anyone here could shed some light on it.

Sorry if this has been discussed already - I used search function but could not find it.

Thanks.