Basically if opponent raises you, you need to defend a certain percentage to stop opponent from profiting.

I'm trying to apply this to my heads up sit and go games.

Let's take this scenario.

It's a hyper turbo heads up sit and go game.

The blinds are 10/20

Stacks are 500 each.

I open to 40, my opponent ships for 500.

So we look at this and see that opponent is risking 480 chips to win 540 chips(His big blind, plus my min raise.)

So, he needs to win 480/(540)

Which is equal to 88.888% of the time.

That means if I fold to him shove more than 11.111% of the time he will auto profit.

So I cannot allow that to happen, seems straight forward so far.




This is where I am stuck though...




This is an image showing that if I raise 100% of hands, and defend in that 11% range as I talked about, my opponent will actually profit with any 2 cards by shoving.






Clearly I don't understand something.

So my question is -

What am I not understanding?

i dont think so.

You shouldn't care about autoprofit when you fold x amount of hands because it's useless. First of all you have equity when you call so he doesn't lose his whole stack when called and secondly the answer that derives from that question leads to a strategy that is so suboptimal it's not even worth discussing.

I've done quite a lot of math on basic reshoving/calling ranges and what it comes down to is how often SB is opening. If he is opening 100% you're basically playing a push-fold game for 12,5BB which is easy to solve.

If you open 100% of your SBs, shoving J3s becomes profitable for your opponent. As long as your opponent is not shoving wide enough over your opens, you're exploiting him. Basically you want to open a range that is somewhat playable when he flats but also allows you to call a decent percentage when shoved on. That means 73o is probably not in that range if you seek some sort of balance. The deeper your stack here the more you can open because it becomes less profitable to 3bet but considering 25BB you can't go too crazy.

I have some generic ranges that will work for 25BB against a lot of opponents. It's opening between 55%-70% of hands, reshoving about 20% yourself while calling with hands that have 46% equity against your opponents reshoving range. For a 60% opening range you can call about 25% of those hands.

If you want to do the math on this yourself just write down the equity equation for both the BB and SB. For SB you just calculate if you have 46% equity with that hand, for BB the equation is composed of fold equity and actual equity when called both multiplied by their frequency. Note by the way that the profitability of your reshove is almost entirely dictated by the amount of hands SB opens. He can tweak his calling range to be optimal against you but your equity doesn't change much. Every time he adds a weaker hand you gain equity in the pot and lose fold equity, when he folds too much you're crushed at showdown but gain heaps of folds.

Dead money.

Because of the blinds, it's profitable to open a wide range. Because of your minraise and propensity to raise-fold, it's profitable for villain to shove over your minraise.
Since villain is shoving 100% of his range, and you've already put money in the pot, it should be profitable for you to call with more than 11% of hands. If 11% is the correct number (I haven't done the math), that's fair enough. When the positions are reversed, you can shove over villain's minraise and maybe he'll make the mistake of making a -EV call.
The equilibrium strategy might be one where you don't open 100% of hands, since tightening your range will mean villain profitably can't jam on you so often, as your calling range will be stronger.

Cliffs: You can calculate minimum defence frequencies that prevent a villain making a profit, but what you should be doing is finding out which hands will make profit for you.