Heads Up Game Theory exercise

[TNixon]

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If you're familiar with SAGE then you probably know the answer to the first problem .

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And btw, SAGE doesn't say push any 2 at 3bbs.

It says push wide, but not any 2.

But SAGE also takes into account that the hand that is ranked at the 66% mark (hand 33 in your game) has some chance of beating a top 10% hand (90 - 100). In your game, 33 *never* beats anything higher than 90.

So SAGE should give looser push recommendations than would be appropriate for your game, where the hand that starts behind can never catch up.