Risk Oriented -- Better Than Nash Equilibrium Pushing Ranges

30wall.pngThe Nash-equilibrium push-fold chart is a good resource for new HU SNG players. But, it can be improved on. There is a maximally exploitative all-in range that is solvable with math. The only two variables that need to be considered are your opponents calling range and your effective stack size.

 
First, I will posit the assumption that no opponent will call with more than 30% of their hands. If this is the case, then the following chart illustrates the hands you should push with based on stack size.

Chart #0: Opponent Calls Your All-in 30% Of The Time
30wall.png

Teal: Push <20BB
Red: Push <15BB
Purple: Push <10BB
Blue: Push <7.5BB

A 30% Calling range is very loose and means the opponent knows that you are pushing light and is trying to call light in order to exploit you.
For the rest of these charts, the following legend applies.

Blue: Always Push These No Matter What (Unexploitable)
White: Push If Opponent's Folding Range Includes a SINGLE Hand Colored in Red

Chart #1: 12BB Effective Stacks
12bb.pngChart #2: 11BB Effective Stacks
11bb.pngChart #3: 10BB Effective Stacks
10bb.pngChart #4: 9BB Effective Stacks
9bb.pngChart #5: 8BB Effective Stacks
8bb.pngChart #6: 7BB Effective Stacks
7bb.png
Chart #7: 6BB Effective Stacks

6bb.png

Blue: Always Push These No Matter What (Unexploitable)
White: Push If Opponent's Folding Range Includes a SINGLE Hand Colored in Red
 
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