Middle Position Push/Fold Range at 15 BB with BB Ante (9-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 Middle Position push at 15BB (9-Max) with a BB ante?

The Middle Position pushes 13% of hands at 15BB (9-Max) with a big blind ante. The most marginal hands at this frequency are JTs, QTs, ATo.

How much wider does the Middle Position shove at 15BB with a big blind ante?

5 percentage points: 13% of hands with the ante against 8% without it. The ante brings 12 more hands (72 of 1,326 combos) into the shoving range, including ATs, A9s, KQs, KJs, KTs, QJs, AJo, ATo.

Is JTs a shove from the Middle Position at 15BB with a BB ante?

It is a mix: with a big blind ante the Nash solution shoves JTs 46% of the time from the Middle Position at 15BB in 9-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. 15BB means 15 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.