Can this program be used to find nash equilibrium for situations that are not only push/fold?
For example 9 players with equal stacks of 1500 with blinds at 50/100. Button can either raise to 2.5bbs or fold. SB can push or fold. BB can push or fold. Button can either call a push or fold.
If button was only allowed to push or fold we could use a Nash calculator and easily get the results. For example:
http://www.holdemresources.net/hr/sn...alculator.html
Button would push 27%, SB calls 9% and BB calls 11%. BB would overcall with TT AKs. If we ignore ICM and only use chip EV then button can push 29%, SB calls 14% and BB calls 15%.
Seems reasonable that button raising range should be wider and that also SB and BB pushing ranges should be wider than their calling ranges if button pushes. Button is risking 250 to win 150 so if he wins the blinds 250/400=62.5% or more he can steal the blinds with ATC.
So if the blinds are pushing with 14% and 15% button will win the blinds 73% of the time and would have +EV with raise/folding 72o. But if button is raising ATC then SB and BB can push a much wider range. This will result in button having to tighten his range.
Is there any way to calculate the 'optimal ranges' for this situation? Similar to the Nash push/fold scenario but where button instead raises to 250. Either with chipEV (for cash games against short stacks) or $EV for SnG.