Originally Posted by LukeSilver
the Book assumes they are shoving with any two cards so is different on that example.
Yeah, assuming people do shove any 2 random cards, then yes, you should call with 77, but fold AK in that situation.
However, while there are situations where your opponents will be shoving any 2, those situations are pretty few and far between.
I think you're trying to learn the wrong things from ICM modeling. ICM just gives you an actual way to turn the value of the chips in your stack into real money
Here's an example. 4 players left in a 9 seat $10 sit & go on the bubble. Here is the ICM monetary value/tournament equity of the chip stacks they have.
Player A: 7000 chips, $33.97
Player B: 2700 chips, $21.85
Player C: 2100 chips, $18.51
Player D: 1700 chips, $15.66
Notice that player A has 4 times as many chips as player D, but he only has twice the tournament equity. It should be obvious why this is, because even if player A has all the chips in the tournament, he can only win half the prize pool (first place). And the value of his chips are worth even less than that, because even though his stack is very large in comparison to the field, it does not assure him a first place finish.
Use this tool to sort out situations where you may have chip pot odds
to call/shove/fold, but you do not have enough tournament equity to make a particular play.