Button Push/Fold Range at 12 BB with BB Ante (6-Max)

Range legendPush alwaysMixedFold

Top-left = strongest hands (AA), pairs on the diagonal. Upper-right = suited, lower-left = offsuit. Brighter green = always push. Dim = fold.

What percentage of hands should the Button push at 12BB (6-Max) with a BB ante?

The Button pushes 43% of hands at 12BB (6-Max) with a big blind ante. The most marginal hands at this frequency are Q9o.

How much wider does the Button shove at 12BB with a big blind ante?

9 percentage points: 43% of hands with the ante against 34% without it. The ante brings 14 more hands (104 of 1,326 combos) into the shoving range, including K4s, K3s, K2s, Q5s, J6s, T6s, K9o, J9o.

Is Q9o a shove from the Button at 12BB with a BB ante?

It is a mix: with a big blind ante the Nash solution shoves Q9o 42% of the time from the Button at 12BB in 6-max. With no ante the same hand is shoved 1% of the time.

What does this chart assume about the ante and stack size?

With a big blind ante the Big Blind posts 1 extra big blind for the whole table, so 2.5bb is in the pot before anyone acts instead of 1.5bb. 12BB means 12 big blinds behind everything already posted: the blinds and, for the Big Blind, the ante. The ranges are chip-EV Nash equilibria with no ICM, solved from 1 to 25bb against the Nash calling ranges of the players left to act.