Turbo HU SNG - когда и как переключать скорости?

Сообщение от Karn

Приветы За первые 4-6-10 минут я за счет гиперагрессивной игры в подавляющем большинстве игр ( процентах в 80-90) добиваюсь значительного перевеса по фишкам - обычно в 2-3 раза, иногда в 4.

Сообщение от maluta33

28 турниров, значит ты просто попал в струю апстрика, не обольщайся не все так просто в HU SNG
можно попробовать минирейз (2ББ) вместо 3бб, но надо понимать реакцию оппа.
его простое 3бет аллин будет плюсовой на этих блайндах.
Есть отличный пост, лень/и занят тоже переводить ее
HUSNG Theory: Revisiting 3-Bet Shoving with 25BB Effective Stacks
Hi all,

This is my first post. I’ve been inspired to write it after reading the excellent post Insane_Steve made on the same subject. I read that post with great interest and have thought about it’s implications a lot - particularly on how wide I can shove against an opponent’s raise given his raise size and his calling range. If you haven’t read the post, you can find it here:

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What I kept asking myself after reading the original post, was how is our opponent’s range influenced by our own holding? And what our total equity would be when called? (Including the value we have the times when we split pots, not just when we win or lose).

This post is my own attempt to answer those questions.

I’ve kept to the same scenarios as Insane_Steve outlined in his original post (I hope that is okay with you Insame_Steve). Generally, the outcomes in each scenario are similar e.g. if your opponent is raising wide and calling tight then most of your value lies in fold equity. However, there are some interesting differences in relative hand rankings, and how wide you can continue to shove, even as your opponent widens his calling range.

Anyway, all this actually depends on the accuracy of my methodology and of my calculations. Please feel free to berate me if I’m way out in left field on this - I’m here to learn and improve my own game after all.

In order to make everything transparent, I’ve included a step-by-step guide for the first scenario. For the remaining scenarios I’ve just noted the actual results of my calculations. If there are any errors, I apologise in advance for them.

Anyway, here’s the post. I hope it provides some further food for thought.

****

Situation:

We are playing an aggressive opponent and, after the blinds are posted, each player has at least 1,250 chips. Villain raises his button 2/3 of the time. Blinds are 25/50. Effective stacks are 25BB

Action:

Villain raises 3x to 150.

You hold one of the following hands:

22
A2
JT
75
32

Question:

Given our starting hand, how many chips can we expect to earn from shoving over the top of villain’s raise?

Answer:

It depends on what range of hands our villain will call or fold...but also what influence our own holding has on the number of possible hand combinations within his range.

****

Scenario #1:

Our villain has a tight calling range of 66+, ATo+, A9s, and KQ.

What exactly does this mean? If we plug the range into Pokerstove then we know that this calling range represents 10.4% of hands, but it’s important to not that the Pokerstove number represents 10.4% of all possible 1,326 starting hand combinations.

138 Combinations in Calling Range
1326 Possible Starting hands

10.4% = 138/1326

However, we already know two of the cards in play. The presence of our own hand automatically limits the possible starting hand combinations for our villain to 1,225.

So, the question is, given our own hand, how many combinations of hands lie within the villain’s calling range?

The answers, for each hand, are as follows:

22 138 combos
A2 118 combos
JT 124 combos
75 135 combos
32 138 combos

So, our own hand has an effect on the number of possible hand combinations our villain will call with.

Given that our villain has 1,225 possible hand combinations, we can easily find the % of hands that our villain will call, given our own starting hand:

22 138 combos => villain calls 11.27% of his range
A2 118 combos => villain calls 9.63% of his range
JT 124 combos => villain calls 10.12% of his range
75 135 combos => villain calls 11.02% of his range
32 138 combos => villain calls 11.27% of his range

We also know that in each case our villain will fold 1-(% of % of Range Called / % PFR)

22 138 combos => villain calls 11.27% of his range => villain folds 83.11% of the time
A2 118 combos => villain calls 9.63% of his range => villain folds 85.56% of the time
JT 124 combos => villain calls 10.12% of his range => villain folds 84.82% of the time
75 135 combos => villain calls 11.02% of his range => villain folds 83.48% of the time
32 138 combos => villain calls 11.27% of his range => villain folds 83.11% of the time

When we 3-bet our villain’s 3x raise, we can expect to win:

The Size of Preflop Pot * % Villain Folds

22 => 166.22 cEV when villain folds
A2 => 171.12 cEV when villain folds
JT => 169.65 cEV when villain folds
75 => 166.96 cEV when villain folds
32 => 166.22 cEV when villain folds

Naturally, our villain may also call. If he does, we need to know what equity our own hand has against his calling range. From Pokerstove we get the following:

22 => 38.314% equity against calling range
A2 => 31.458% equity against calling range
JT => 36.923% equity against calling range
75 => 32.609% equity against calling range
32 => 25.823% equity against calling range

And, as we already know the the % of time our villain folds, we also know how often he will call our shove:

22 => 38.314% equity against calling range => 16.89% of the time villain calls shove
A2 => 31.458% equity against calling range => 14.44% of the time villain calls shove
JT => 36.923% equity against calling range => 15.18% of the time villain calls shove
75 => 32.609% equity against calling range => 16.52% of the time villain calls shove
32 => 25.823% equity against calling range => 16.89% of the time villain calls shove

What is our cEV in each case when the villain calls our shove?

To answer this, we also need to consider the amount of chips we can win when we are called (the Size of Pot When Called), as well as the amount of chips we could lose when we are called (the Size of Our Shove).

Our cEV when called will be:

Villain Call % * ((Equity When Called * Size of Pot When Called) - the Size of Our Shove))

Size of Pot When Called = 2,575 (25 SB + 50BB + 150 Raise + 1,250 Shove + 1,100 Call)

Size of Shove = 1,250

Calculating this through, we find the following cEV for each of our starting hands when our villain calls our shove:

22 => -44.49 cEV when villain calls our shove
A2 => -63.54 cEV when villain calls our shove
JT => -45.41 cEV when villain calls our shove
75 => -67.69 cEV when villain calls our shove
32 => -98.81 cEV when villain calls our shove

Naturally, we are interested in the total cEV of our shove. As there are only two possible outcomes (our villain folds or he calls) we can simply sum the results of both sets of calculations:

22 => 166.22 cEV (fold) => -44.49 cEV (calls) => 121.73 Total cEV
A2 => 171.12 cEV (fold) => -63.54 cEV (calls) => 107.58 Total cEV
JT => 169.65 cEV (fold) => -45.41 cEV (calls) => 124.24 Total cEV
75 => 166.96 cEV (fold) => -67.69 cEV (calls) => 99.16 Total cEV
32 => 166.22 cEV (fold) => -98.81 cEV (calls) => 67.41 Total cEV

Conclusions:

If villain is opening wide (66.7%) and calling tight (10.4% of all possible starting hands) then:

3-bet shoving any two is +cEV

Your edge in 3-bet shoving comes from fold equity. You have the highest fold equity when you hold an ace in your hand, as this reduces the number of hand combinations in your opponents calling range. Low cards and low pairs perform worse in terms of fold equity.

However, if you are called it is best to have a pair or a mid-to-high suited connector than a bad ace. With this calling range for Villain, it actually turns out that A2o outperforms all suited connectors up to 76s.

Overall, from our given hands, total cEV on the 3-bet shove play is highest with JTs against this range. The pair comes a close second, followed by the weak ace.

Additionally, it turns out that even if our opponent min-raises his button we can still profitably shove 32o with the defined (tight) calling range for our villain.

****

Scenario #2

Villain now has a wider calling range of 44+, A8o, A5s+, KJo+, KTs

Following the same methodology as above, the results are:

22 => 148.60 cEV (fold) => -51.10 cEV (calls) => 97.49 Total cEV
A2 => 155.94 cEV (fold) => -78.91 cEV (calls) => 77.04 Total cEV
JT => 153.25 cEV (fold) => -54.49 cEV (calls) => 98.76 Total cEV
75 => 150.56 cEV (fold) => -87.00 cEV (calls) => 63.55 Total cEV
32 => 148.60 cEV (fold) => -141.67 cEV (calls) => 6.93 Total cEV

Conclusions:

3-bet shoving over the 3x raise is still +cEV with any two.

Your edge in 3-bet shoving still comes from fold equity. You still have the highest fold equity when you hold an ace in your hand. Low cards and low pairs still perform worse in terms of fold equity.

Again, if you are called it is best to have a pair or a mid-to-high suited connector than a bad ace. The ace continues to outperform the low suited connectors though.

Once more, from our given hands, total cEV on the 3-bet shove play is highest with JTs against this range - although now the advantage over the pair is negligible. The weak ace comes in third again.

Amazingly, shoving 32o only begins to show a loss in total cEV once our opponent begins to raise 2.8BB or less.

****

Scenario #3

Again we widen our opponent’s calling range to 22+, A2o+, KTo+, K9s+, QJ+, QTs, JTs

The results are as follows:

22 => 118.49 cEV (fold) => -43.30 cEV (calls) => 75.19 Total cEV
A2 => 129.26 cEV (fold) => -83.26 cEV (calls) => 46.00 Total cEV
JT => 122.16 cEV (fold) => -67.66 cEV (calls) => 54.50 Total cEV
75 => 118.73 cEV (fold) => -115.25 cEV (calls) => 3.38 Total cEV
32 => 118.73 cEV (fold) => -210.28 cEV (calls) => -91.55 Total cEV

Conclusions:

All of our hands, apart from 32o remain +cEV.

We continue to lose fold equity as our opponent calls with a wider range, but our fold equity still remains highest with the ace in our hand, followed by JTs, which is closely followed by the low card hands.

When we are called, the pair now increases in value, relative to the villain’s calling range in Scenario #2. All other hands lose value, although the relative ranking remains the same.

Total cEV is highest with the pair for the first time

Now let’s add A8

A8 => 129.26 cEV (fold) => -13.14 cEV (calls) => 116.26 Total cEV

Fold equity is as with A2o, reflecting that we reduce our opponents calling range by the same amount of combinations.

When we are called A8o outperforms all hands considerably, including the pair, and has the highest total cEV by a wide margin.

****
Scenario #4

Villian’s calling range is now 22+, A2o+, K7o+, any suited K, Q8o+, Q6s+, J9o+, J7s+, T7s+, 97s+, 87s, 76s.

We remove the low cards from our shoving range and replace with A8 and 55.

22 => 74.92 cEV (fold) => -35.52 cEV (calls) => 39.40 Total cEV
A2 => 85.45 cEV (fold) => -39.74 cEV (calls) => 45.70 Total cEV
JT => 81.77 cEV (fold) => -52.63 cEV (calls) => 29.14 Total cEV
A8 => 88.14 cEV (fold) => 54.32 cEV (calls) => 142.45 Total cEV
55 => 74.92 cEV (fold) => 60.12 cEV (calls) => 135.04 Total cEV

Although our fold equity is reduced considerably for all hands, all hands have + cEV. Fold equity is highest with aces in our hand. If villain is calling this wide we can value shove our stronger aces as well as stronger pairs.

****
Scenario #5

Villain raises tighter from the button - 25%. He has the same calling range as in Scenario #1.

The important thing to note is that our villain will be calling our shove way more often. We still have fold equity, but we are leveled by his calling range to such an extent that none of our hands are +cEV

22 => 109.88 cEV (fold) => -118.70 cEV (calls) => -8.82 Total cEV
A2 => 122.94 cEV (fold) => -169.52 cEV (calls) => -46.58 Total cEV
JT => 119.02 cEV (fold) => -121.16 cEV (calls) => -2.14 Total cEV
75 => 111.84 cEV (fold) => -180.87 cEV (calls) => -69.04 Total cEV
32 => 109.88 cEV (fold) => -263.63 cEV (calls) => -153.76 Total cEV

****

Lessons Learned Against this Opponent:
When our opponent is raising wide and calling tight from his button, we can shove a wide range of hands and have +cEV. Even as he loosens his calling requirements most of our hands will have +cEV
Most of our value in 3-bet shoving comes from fold equity
It is better to have a pair or mid-high suited connector when he calls
Against the tighter calling ranges, you can expect to earn more from a hand like JTs than 22
Bad aces out perform lower suited connector hands, even as our opponent widens his calling range
When our opponent calls really wide, we still have +cEV with most of our hands. Stronger aces like A8o and pairs like 55 go way up in value
Once our opponent tightens up, 3-bet shoving , even with a pocket pair against a 3x raise, can show minus cEV

Есть и статьи имеено по минирейзу и как с ним бороьтся, если интересно выложу.