SAGE: The Sit and Go Endgame System
How many times have you found yourself heads-up in a sit-n-go? First place pays you 50% of the prize pool while second place leaves you with only 30%. In order to be a winning SNG player, you must make sure that you're winning more than your fair share of heads-up contests. But surely this is not something that can be taught, right? Experience is the best teacher and until you've managed to play a number of heads-up contests, you can't possibly be expected to take home the lion's share of a SNG's prize pool. Right?
Wrong! Experience is a great teacher but won't necessarily translate into a greater return-on-investment on your SNG play. If you want to make more money than the next guy (or gal), you should instead look to the Sit And Go Endgame (SAGE) system.
SAGE is a heads-up strategy developed by Lee Jones (author of Winning Low Limit Hold'em) and James Kittock (a math professor and all-round brainiac). What can SAGE do for you? In a nutshell, SAGE is a solid and unexploitable heads-up strategy that can help you overcome weak and strong players alike in a heads-up, no-limit hold'em situation. What does this mean for you, the lowly sit-n-go player? More money!
In order to use SAGE properly, the following conditions must exist:
For example, if you find yourself heads-up with a stack size of t3000 against your opponent's stack size of t10500 with blinds of t300/t600, welcome to SAGE country! Why? You're current ratio is:
Ok, so it's time to use SAGE. How does it work?
SAGE works in two steps:
Determing your hand's power index is simple:
Determining your hand's power index is crucial to using SAGE correctly, so let's go through a few examples.
First, we assign the power numbers to the cards: K♣ is worth 13 points; T♣ is worth 10 points.
The power index is equal to twice the value of the higher ranked card (2 x K♣ = 2 x 13 = 26) plus the power number assigned to the other card (T♣ = 10 points): so, your power index = 26 + 10 = 36. And since your hand is suited, we add 2 points to the current power index: 36 + 2 = 38.
Assign the power numbers: J♥ = 11, T♦ = 10. Double the higher ranked card's power number and add both cards power numbers together: power index = 2 x 11 + 10 = 32. Since the cards are neither suited nor paired, the power index remains at 32.
How good are rockets in terms of the SAGE power index? Each ace is worth 15 points. Double the power number for one of the aces which gives you a power index of 45 (2 x 15 + 15). And now, add 22 points to the power index since you are holding a pocket pair: 45 + 22 = 67! Nice...
Now that you've got your power index, how do you use that information to crush your heads-up opponent? In the table below, there are three columns:
Let's go through some examples just to make sure that we all understand how SAGE works.
Blinds 300/600
HERO (t11000)
SB (t1500)
BB (t1000)
Hero is dealt J♠ 8♠
Answer: Ok, this was a trick question. There are still 3 players left so SAGE does not apply in this situation. Although, for what it's worth, this is an easy push by the Hero.
Blinds 400/800
HERO (t5000)
BB (t8500)
Hero is dealt K♠ 2♦
Answer:
Since Hero is holding the short stack, the ratio is calculated as t5000/t800 = 6. The SAGE JAM/CALL TABLE lists a power index of 25 in the Jam column and 29 in the Call column in the row corresponding to a Ratio of 6. The Hero is in the small blind, so we are going to compare the Hero's power index to the value shown in the Jam column: 25. Hero's power index is (K♠ x 2) + 2♦ = (13 x 2) + 2 = 28.
According to SAGE, Hero should push all-in with K♠ 2♦ in this spot.
Blinds 400/800
SB (t5200)
HERO (t8300)
Hero is dealt 9♠ 8♠; SB pushes all-in for t5200.
Answer:
Ok, so our Hero has a choice to make: call the all-in or fold and wait for a better spot. Let's go through the process:
Since the Hero's power index of 28 < 29, Hero folds.
Blinds 500/1000
HERO (t3500)
BB (t9000)
Hero is dealt T♦ 2♣
Answer:
Well, our Hero is getting pretty low here but how desperate should he be? Let's see what SAGE tells us:
Since the Hero's power index of 22 >= 22, Hero pushes.
Blinds 200/400
SB (t700)
HERO (t12800)
Hero is dealt Q♠ Q♣; SB pushes all-in for his remaining t700.
Answer:
The quick answer: call! Let's double-check SAGE and see if our unexploitable strategy agrees with our snap-decision:
Since the Hero's power index of 58 blows "any" out of the water, Hero calls.
Before finishing up, there are a few more things that should be noted when it comes to using SAGE.
Although SAGE is an unexploitable strategy, it is not always the optimal strategy. As the Ratio of the small stack to the big blind increases past 7 and even beyond 10, SAGE starts to break down. If you find yourself completely out-matched when it comes to heads-up play against your opponent (e.g. you're playing heads-up with Chris Ferguson), feel free to use SAGE no matter what the Ratio. By resorting to a fit or fold strategy, your opponent will not be able to outplay you; although, you'll most likely find your opponent folding hand after hand until finally picking up a monster and putting you out of your misery.
On the flip-side of the coin, if you completely outclass your heads-up opponent, feel free to stick with what's working for you. Although you'll be hard-pressed to beat the results that SAGE will give you, you may not want to gamble for first prize when you're almost positive that you can take out your opponent using conventional methods.
In general, you should try and play poker when the SAGE Ratio is above 7: doing so will give you some heads-up experience and, frankly, it can be rather fun to outplay your opponent after a hard-fought SNG battle.
One word of warning: SAGE is incredibly easy and incredibly powerful. If you were to play your very best heads-up game against an opponent using SAGE, I would not like your chances. SAGE works by completely stifling your opponent's creativity and poker abilities. It is a claustrophobic, suffocating feeling to be on the receving end of an opponent using SAGE. When you decide to bring SAGE to the table, don't be surprised to find your opponents folding hand after hand as you continue to push your entire stack into the pot. Surprisingly, this happens an awful lot and is immensely satisfying: imagine being handed first-prize money without having to play a single hand!
For those of you who take your poker seriously, I have just given you the blueprints to one of the greatest weapons you will ever use in a sit-n-go (or multi-table tournament) endgame. I guarantee that you will find that your first place finishes will greatly overshadow your second place finishes if you stick to using SAGE whenever heads-up.
I'd very much like to hear the success stories of my readers who've employed SAGE to great success, so please feel free to comment and let others know how well the SAGE system has worked for you.
Enough talk - go make some money!



10 comments:
Very interesting stuff...thanks for posting...
Very interesting, but I would love to test my HU game against the SAGE strategy. If you are interested in maybe playing a few HU games to try it out, let me know. My email is highonpoker AT yahoo. I'm okay with low stakes $1 games, or I'll even front you the buy-ins just for the sake of testing the SAGE out against my feel-based style of play. Lemme know, cause it might make for some interesting posts.
Interesting (Thanks tripjax for pointing to this post).
It reminds me of a system that I ran into, just when I got started in poker, created by Edward Hutchinson. I have no idea who he is, or if he has any credentials in the pokersphere.
I never really took the time to apply it, or even learn it in detail, but it does look a bit like SAGE. SAGE is somewhat simpler tho, but the difference in scoring your hand is pretty small.
Let's have some more on SAGE. I'm curious about the best strategy to
a) identify a SAGE-player
b) take his money
/j. (flushdance.blogspot.com)
Tripjax -
Thanks for linking to this post. I can always use the hits.
Jordan -
I'll e-mail you if I ever get the chance to play poker again. Right now, I've been getting less than 15 minutes of free time a night. As soon as I find my schedule clearing up a little, I'll let you know.
I know that SAGE will only work as the blinds get big, so I'd be willing to bet that you'd knock me out well before SAGE even kicked in.
Joxum -
There have been many attempts to quantify which cards to play against certain opponents or in specific situations. SAGE seems to be the only system that I know of that is correct to use in every situation.
I'll address your other questions in a post.
What happens if SB just calls and you don't have requisite cards to push. Does SAGE cover post-flop play in any way?
NorthernBob -
If SB calls and you don't have a pushing hand, you should just play the hand as you normally would.
If you feel that SB's limp means he's likely to fold to a push, then you can feel free to shove any-two-cards.
Or you can see a free flop and try to outplay your opponent post-flop. Of course, post-flop is where poker separates the good players from the bad. Unfortunately, SAGE cannot help in this regard: you'll have to rely on your wits and your poker experience.
Just because SAGE is "unexploitable" and "mathematically correct", doesn't mean it is the best system to use in the end game. What if I know my opponent can be easily raised out of a pot if he misses the flop, no matter how short stacked he is?
SAGE may be a handy tool that a pokerbot or beginner could use, but it totally ignores profiling.
Cal -
True enough. Unexploitable strategy may not be the optimal strategy. If you have a huge edge over your opponent, you could try and play poker. Then again, with less than 10 BBs left in the effective stack, pushing all-in every hand is not far from the best strategy.
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