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Strategy: Push or Fold in Heads-up
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Strategy: SNG: Sit and Go Tournaments

Push or Fold in Heads-up

by PokerStrategy.com



2.3. Remarks about the charts

You can clearly see that as opposed to the A-hands in chart 1, the stacks need to be smaller in order to push with K-hands, which is logical as a king in heads-up is by far not as strong as an ace. Furthermore, the hands of the category Connectors + One-Gappers are better suited against the tighter player type (15%). Against (15%) a hand like 98 (S=28.9, or 36.5 when suited, resp.) comes off slightly better than A2 (S=28.8, or 36.4 resp.); against (22%) and certainly against (29%) A2 is clearly ahead (concerning the maximum stack size for a +EV push).

If you compare the values in the different columns, so the different calling ranges, you notice: (SV) is always the smallest value. The value of (SV) is really the lowest estimate. Even if we revealed the cards and the opponent was able to perfectly calculate the win probabilities and pot odds, a push with this stack size would still be +EV.

The other values are related depending on the strength of the hand:
For relatively weak hands (e.g. K5o) (29%) is smallest, at a certain strength of the hand (e.g. A2o) the value (29%) is higher than (22%), and finally for strong hands (e.g. A7o) (15%) is the smallest of the three values.
That's because with weak hands, we're clearly behind all three calling ranges if we get called, and thus the push benefits more from the fold equity, than in the case of a stronger hand. The fold equity is highest against the (15%) range and lowest against (29%) though.

Of course a push is, even when being +EV, not always the best decision. With monsters like AA, KK or QQ, a slowplay with relatively big stacks is often more profitable, and with hands with a good playability like AK, KQ, KTs etc., and any hands from chart 4, a raise is often more profit-yielding as well.

The values in the columns of the category (SV) correspond more or less with the so-called Sklansky – Chubukov rankings.

If we assume Villain's calling range to be somewhere in between those categories, we can also use the average value or pick the smaller value alternatively. That way, we play safe and round down our pushing range.


Example:
We have 44 and assume that Villain's calling range is a bit tighter than (15%). If we use the value 41.3 from the (SV) column, we're on the safe side, but we can also pick a rough average value between (15%) and (SV), about 50. This corresponds with an opponent who is even tighter, or calls more profitably against us in his opinion, than with the (15%) calling range, yet not quite as perfect as with the imaginary SV.

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