Quote:
Originally Posted by nexone
How to do the math? I know how to do the math If we are the caller (like if we getting 2 to 1 we need 33% equity to call) How about the shover?
Assume villain always calls. His range is ATC. In that case, the math is basically the same as when you're calling a jam. Your required equity is just the amount you're risking (your shove) divided by the size of the final pot.
If you jam X bb to steal 1.5bb and villain is in the BB and always calls, he's calling (X-1)bb.
If you're on the button, the final pot will be 2X + 0.5bb, and you contributed X.
That means you need to win X/(2X +0.5).
e.g. if X = the size of your jam = 10bb total, the equity you require is 10/(20+0.5) = 48.8%
If you're in the SB, then you're risking 9.5bb into a final pot of 20bb, so you need 9.5/20 = 47.5% equity.
To get 47.5% equity vs ATC, the optimal range is 22+,A2s+,K2s+,Q2s+,J3s+,T6s+,97s+,87s,A2o+,K2o+,Q3 o+,J6o+,T7o+,98o, which is 57.5% of hands, but it's a somewhat different range to the optimal "Nash" push range for 10bb (which is a different 56.5% if I remember correctly).
When villain always calls, high cards generally have more value. If he calls optimally, then the hands he calls with are stronger than average, and you'll have better success jamming some of the lower suited connectors, since these do pretty well against Ax/Kx/Qx.
To use a very basic example, if villain calls shoves with Q5o or 86o, then you love getting it in with Q6o (dominating). But if he never calls with a worse queen than QT, you'd much rather jam 76s than Q6o, since 76s will be "two live cards".