Pushbot Trainer & Optimal shoving ranges. What are the correct ranges to move all-in with from late position in a poker tournament? What hands are good enough to defend against an all-in? Always show this poker hand By Steve Beauregard “Show one, show all,” is the age-old poker saying, applied to those situations when you want to show another player your cards. But other situations are not as clear-cut.

1. Shoving Hands Poker Card Game
2. Shoving Hands Poker Games
3. Shoving Hands Poker Rules
4. Shoving Hands Poker Game

OK, so this can be a good time to swat up on our NASH push fold ranges for when we are short stacked in tournaments, we have constructed 8 charts which show profitable shoves from all the positions on a nine-handed table…

UTG Ranges

So it’s fairly common for players with 10 Big Blinds to think that any pair is an All in, however as we can see from this chart that includes antes of 12.5% pairs 22 and 33 are actually -EV for us to move all in with.
Another big mistake are shoves from small Aces, suited or Off suit are all -EV until we get to hands as strong as A7s+ and A9o+.

Our Range: 44+ A7s+ A9o+ QJs+ KTs+ & KQo+

Biggest mistakes are players thinking hands like KT0 and QTo are shoving, from this position we want to have a solid range, even with just 10 Big Blinds.

UTG+1

This is where things already start to change a little bit with 33 now becoming a Jam, and we can start to shove some suited connectors like T9s+.

KJo is still very borderline so you could look to move in with this hand if you think players will be calling too light for example.

Our Range: 33+ A4s+ ATo+ KJo+ K9s+ Q9s+ J9s+ T9s+

Next, we are going to look at how our ranges open up as we get to the Mid-Position.

MP1 (Mid Position 1)

This is where 22 starts to get a borderline shove and so too do hands like T8s and A3s.

Our Range: 22+ A3s+ ATo+ KJo+ K9s+ Q9s+ J9s+ T8s+ 98s+

MP2 (Mid Position 2)

This is where we can start adding in some offsuit aces and any suited Ace is a profitable move. Its when we start getting closer to the blinds, now far less players to get through we can start opening our range a little more…

Our Range: 22+ A2s+ A8o+ KJ0+ K9s+ QJo+ Q9s+ J8s+ T8s+ 98s+

This is really when we start to get going, late Mid-Postion and the Cut off is where we open up and start shoving some borderline hands!

Shoving Hands Poker Card Game

MP3 (Mid Position 3)

Hands like 22 and KTo are now much more profitable from this position and once pretty borderline suited connector Jams are now printing EV.

Our Range: 22+ A2s+ A3o+ KTo+ K9s+ QT0+ Q9s+ JT0+ J8s+ T8s+ 97s+ 87s+ 76s+

CO (Cut Off)

This is where we can really start to widen our ranges, with even hands like Q6s becoming part of our All in wagering range.

Our Range: 22+ A2o+ A2s+ K9o+ K4s+ QTo+ Q6s+ JT0+ J7s+ T7s+ 97s+ 86s+ 76s+ 65s+

The Widest of all our ranges in late position, it’s time to look at Button and Small Blind Jams.

BTN (Button)

Even hands like K5o, Q3s and 64s are going to be gamble worthy on the Button, with just two players left to get through we can push them off a huge portion of their range, as players aren’t going to call ten big blinds with any old hand, they will need a solid part of their range to want to gamble for a 20bb pot!

Our Range: 22+ A2o+ A2s+ K2o+ K2s+ Q2o+ Q2s+ J9o+ J6s+ T9o+ T6s+ 96s+ 85s+ 75s+ 64s+ 54s+

SB (Small Blind)

The last of all our possible shoving positions, we are not always just going to want to shove from this position, you can view our guide to playing from the small blind for some slightly deeper stacked play, however we are just looking at unexploitable shoves today, so our range to move all in from the SB is going to be wide, as we only have to make one player fold. Let’s take a look:

Our Range: 22+ A2o+ A2s+ K5o+ K2s+ Q9o+ Q3s+ J4o+ J2s+ T6o+ T2s+ 96o+ 93s+ 86o+ 84s+ 76o+ 74s+ 650+ 63s+ 53s+ 43s+

As you can see we are shoving a huge portion of our range here, including any high card combination of hands with a Jack in them or higher and then nearly all suited hands from 43s+, pretty much the only combinations of hands we are not going to be jamming with are offsuit combinations with low cards.

Sum Up

To sum up as you can see from working through all these ranges there is a big drop off when it comes to non-suited hands, suited hands will always have a lot more value than the offsuit combinations. A big example of this is from UTG+1 we will profitably be able to shove with A4s+ but the offsuit aces we will move in with is only ATo+. That is a huge difference, these are the subtle points of knowing your ranges, it can be a good idea to print these off and have them above your grind station.

In coming posts we are going to look up some 6 handed charts for you to refresh your knowledge with.

When can you profitably go all-in with a hand? Which hands can you call an all-in with? Answers to these questions are provided by pushbot charts and equilibrium strategies. This article will provide equilibrium push bot charts for poker tournaments and explain how and when to use them.

Example situation in a tournament

Let’s say we’re in the late stages of a big tournament. The stacks are shallow and most action happens before the flop. We’re in the small blind with a mediocre holding (say K6) and a small stack (say 9 big blinds). It is folded to us. What do we do?

Or, let’s say we’re in the big blind with the same hand and the same stack. Everybody folds to the small blind – a good and aggressive player – and he goes all-in. What do we do now?

Pushbot charts help making decisions in situations like the ones in this example. In this article we’re going to focus on equilibrium pushbot charts which work for push-or-fold decisions between the small blind and the big blind and to some extend between the button and the blinds.

Equilibrium pushbot and callbot charts

The tables below show the maximum effective stack for a profitable push from the small blind against the big blind and the maximum effective stack for a profitable call from the big big blind according to equilibrium strategies. (The effective stack is the smaller of the stack sizes between you and your opponent.)

Equilibrium pushbot chart for moving all-in from the small-blind

You can shove all-in profitably:

• If you are in the small blind,
• everyone before you has folded,
• your effective stack (in big blinds) is smaller than the number given in this table.

Note: the maximum stack size considered is 50 big blinds.

Download this chart as PDF

Calculations by Bill Chen and Jerrod Ankenman (Mathematics of Poker)

Equilibrium callbot chart for calling an all-in in the big blind

Shoving Hands Poker Games

You can call the all-in profitably:

• If you are in the big blind,
• everyone before the small blind has folded,
• the small blind moved all-in,
• your effective stack (in big blinds) is smaller than the number given in this table.

Note: the maximum stack size considered is 50 big blinds.

Download this chart as PDF

Calculations by Bill Chen and Jerrod Ankenman (Mathematics of Poker)

How to use these equilibrium charts?

Let’s go back to the example situations above. We’re in the small blind with K6 and a 9 big blind stack. It is folded to us. What do we do?

Checking the first table reveals that K-6-offsuit has an equilibrium push rating of 15 big blinds. Meaning, as long as our stack is 15 big blinds or smaller we can profitably move all-in.

In the second scenario we’re in the big blind with the same hand and the small blind moves all-in. Now we just check the second table and see that K-6-offsuit has an equilibrium call rating of 11 big blinds. Meaning, as long as our stack is 11 big blinds or smaller we can profitably call against the small blinds all-in.

What the hell are “equilibrium pushbot strategies”?

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No let’s examine how those pushbot and callbot charts above are derived.

Imagine a very simple Texas Hold’em game. Two players play heads-up, the small blind can decide before the flop whether to push or fold. If he pushes, the big blind can now decide whether to call or not. There are no post-flop decisions. Situations like this occur often in later stages of poker tournaments when the stack sizes are small and everybody folds to the blinds.

This simple push-or-fold game can be solved mathematically and optimal strategies can be given for both players. The optimal strategies form a balance for both players (an equilibrium). This means that none of the players can unilaterally improve their strategy.

Determining these strategies is a bit time-consuming and works (in a nutshell) like this: For each possible effective stack size, you check the range with which the small blind can profitably push if the big blind would always call. Then you check with which range the big blind can call profitably against the small blinds range. Now check again which range the small blind can push with, if the big blind only calls with the range found in the previous step. Repeat this until the ranges do not change anymore and then you have found the equilibrium strategies for the given stack size.

This way you can check for all stack sizes which hands can be pushed profitably and which hands can call an all-in profitably. Bill Chen and Jerrod Ankenman did this in the book Mathematics of Poker. The results of these calculations are charts above.

How to work with the equilibrium pushbot charts?

Shoving Hands Poker Rules

For each hand, the charts show the maximum stack size (in big blinds) for profitable pushes and calls according to the equilibrium strategy. The pushbot chart applies when you’re in the small blind and it is folded to you, the callbot chart applies when you’re in the big blind and the small blind open shoves.

For example, if you have J2 in the small blind, you can go all-in with an effective stack of 4.6 big blinds or less profitably. Or if you have T9 in the big blind and the small blind open shoves, you can call profitably with an effective stack of 12 big blinds or less.

Equilibrium pushbot charts from the button

The Equilibrium pushbot chart can also be used from the button. The rough approximation is as follows:

Equilibrium pushbot chart button rule

You can go all-in profitably from the button if your stack is smaller than half the equilibrium pushbot ranking for the hand you are holding.

There is no button rule for calls against a button shove in the big blind.

When can you apply equilibrium strategies profitably?

You should not start pushing your stack from the small blind just because your hand has an equilibrium pushbot ranking of 36 big blinds and you also should not blindly defend your big blind just because your stack is slightly below the equilibrium callbot ranking. The charts above give you a rough idea, which hands you can safely push with and which hands you can safely call an all-in with if your opponent is a good and aggressive player.

Conditions for the equilibrium push-fold-charts

• Late preflop position: The equilibrium pushbot chart only works from the small blind (and to a lesser extend from the button).
• Or Big Blind: The equilibrium callbot chart only works if you’re in the big blind.
• No other players: Both charts assume all other players have folded.
• No Antes: Calculations for the charts assume no antes. With antes the maximum stack size for profitable calls and pushes increases considerably.
• No ICM: No tournament specific mechanisms are considered for those charts. “Profitable” throughout this article means profitable when looking at chip-EV. In many tournament situations you have to call much tighter and can push much looser than the charts indicate.
• Skilled opponent: The charts assume your opponents are skilled, aggressive players that will call or shove with reasonable ranges. If the tightest player at the table shoves into you from the small blind, you better don’t call with K9 and a 20 big blind stack, just because the equilibrium chart says so. You fold because his range is much more narrow than any equilibrium strategy suggests.

Like the Sklansky Chubukov rankings, the equilibrium rankings help you to develop an idea which hands are good enough to merit an all-in and which hands are good enough to call an all-in against an aggressive opponent.

How do equilibrium rankings and Sklansky Chubukov rankings differ?

Another approach to explore profitable shoving ranges are the Sklansky Chubukov rankings.

While the Equilibrium strategy assumes your opponent has a realistic calling (or pushing) range, the Sklansky Chubukov strategy always assumes the worst case, namely that the opponent always calls when he has a better hand than you (or at least gets sufficient odds).

Meaning, you can push much looser using the equilibrium strategy, since this strategy takes into account that the opponent also folds some better hands. Suited connectors in particular gain significant value when using the equilibrium strategy: They have a good equity against the typical calling (and also pushing) range, which is why they are comparatively strong hands. Take 65 for example. The hand has a Sklansky Chubukov ranking of only 3.1, meaning you can only push with 3.1 or fewer big blinds. But according to the Equilibrium strategy you can push profitably with up to 29 big blinds – a huge difference.

Shoving Hands Poker Game

Relevant Resources

• Sklansky Chubukov rankings
• Pushbot trainer
• Equilibrium charts with ante (HoldemResources.net)
• Nash equilibrium in poker explained (poker VIP)
• Mathematics of Poker (Amazon)

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