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The SAGE Heads Up Poker System


The SAGE System in Heads Up Poker

Say you manage to get to the final table of a large field MTT and get into a heads up situation.  It can be a pretty difficult situation to master especially when your stack is only 10BBs deep.

But what if I told about a system that allowed you to play HU in a mathematically un-exploitable way?  Well, introducing…the SAGE system!

(SAGE stands for Sit and Go End Game System).

The SAGE system was introduced in Lee Jones’ ‘Winning Low Limit Holdem’.   It outlines how to play HU poker with less than 10BBs in a mathematically un-exploitable way.  It uses power rankings on the cards that you’re dealt, letting you know when to push/shove.

First, let’s look over the conditions for when the SAGE System can be used:

  • Heads Up at the end of a No-Limit Holdem MTT or SNG
  • One prize
  • Average stack-size is less than 10BBs
  • The SB shoves all-in from the button.  We have to make a decision whether to call or fold.

So, what is this SAGE System?

If there are any economists reading this than you should be familiar.  The SAGE system is an “equilibrium strategy” for Game Systems, which means that if either opponent were to deviate from the SAGE strategy their expectation will go down (thus the others would go up).  What this means for you is that no matter whether you’re playing the Dan Harrington or Chris Ferguson, it puts you in a level playing field effectively making it a coin-toss situation (subject to differences in chip stacks).  Thus, it’s a great system for when you’re up against a much better opponent than you.  It brings the odds more into your favour.

The SAGE system ranks each of the possible 169 starting hands in Texas Holdem according to their Power Rankings in Heads Up situations.  AA is the best; 32 off suit is the worst etc…

Optimal Top Percentage and Cutoff Hands

R SB Top % SB Cutoff
Hand
BB Top
%
BB Cutoff
Hand
SB
Edge
1 89% 6-2 suited 100% 3-2 offsuit 0.010
2 79% 6-4 suited 89% 6-2 suited 0.051
3 74% 9-5 offsuit 70% 7-5 suited 0.061
4 71% 10-4 offsuit 60% J-5 offsuit 0.047
5 68% 9-6 offsuit 53% 9-7 suited 0.026
6 64% 7-6 suited 48% Q-2 suited 0.002
7 61% 10-4 suited 42% Q-7 offsuit -0.018
8 58% J-2 suited 39% K-2 suited -0.042
9 55% 9-8 offsuit 36% 3-3 -0.063

How to interpret the above table:

  • The “R” column is the ratio of the short stack to the big blind, after the blinds have been paid. So if the short stack is 10,000 and the big blind is 2,000, R=5.
  • The “SB Top%” is the percentage of hands that you should call all-in from the SB.
  • The “BB Top%” is the same thing but for BB.
  • The “SB Cutoff Hand” and “BB Cutoff Hand” is the worst hand in that criterion.
  • “SB Edge” is the expected amount that SB can win, in terms of big blinds, if both players follow this system.

Simplified Version for Live Games

As interesting as these nerdy calculations are, it’s not the sort as practical in a live tournament setting.  SAGE System simplifies the entire process into two steps, computing a Power Index (PI) and then using PI to know when to call.

How to Work Out PI

  • Take the “power number” of each card in its rank (e.g. 10 = 10, J = 11, Q = 12, etc..).
  • Take the power number for your highest card and double it.
  • Add the power number to your lowest card.
  • For Pocket Pairs, add 22.
  • For suited connectors, add 2.
  • The sum is the Power Index of your hand!.

Once you know the PI value of your hand, you can use the SAGE table below to know when to jam an opponent’s shove from SB or BB according to R.  This strategy can be used for any HU situations such as SNGs, MTTs or especially satellite tournaments when there’s only one prize.

The SAGE Table

R Jam(SB) Call(BB)
1 17 (any)
2 21 17
3 22 24
4 23 26
5 24 28
6 25 29
7 26 30

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