Middle Position Push/Fold Range at 10 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 10BB (9-Max) with a BB ante?

The Middle Position pushes 19% of hands at 10BB (9-Max) with a big blind ante. The most marginal hands at this frequency are T9s, A8o.

How much wider does the Middle Position shove at 10BB with a big blind ante?

8 percentage points: 19% of hands with the ante against 11% without it. The ante brings 16 more hands (108 of 1,326 combos) into the shoving range, including A9s, A8s, A7s, A6s, A5s, A4s, KQo, QJs.

Is T9s a shove from the Middle Position at 10BB with a BB ante?

It is a mix: with a big blind ante the Nash solution shoves T9s 42% of the time from the Middle Position at 10BB 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. 10BB means 10 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.