Quote:
Originally Posted by Max Cut
Check out the value given to a 1-chip stack by ICM. Yes, the overvaluing has to do with future considerations as you illustrate.
ICM really only models the value of a stack at a table and personally I don't really think that icm overvalues small stacks that much at all.
Here is an example of the type you suggest, for a standard STT type with 4 players left.
Player: 0, 4500, Equity: 33.3303%
Player: 1, 4500, Equity: 33.3303%
Player: 2, 4499, Equity: 33.3279%
Player: 3, 1, Equity: 0.0115%
So player 3 has roughly 1 hundreth of 1% of the prize pool compared to 33.3% for the others, this is a lot more than the chip value of 1/13500 suggests but here there is always the chance of a crazy AA v KK style clash to give a decent payout to this 1 chip, seems reasonable.
Admittedy, when you are far from a bubble icm does overvalue a single chip
eg, same STT
Player: 0, 2250, Equity: 16.6662%
Player: 1, 2250, Equity: 16.6662%
Player: 2, 2250, Equity: 16.6662%
Player: 3, 2250, Equity: 16.6662%
Player: 4, 2250, Equity: 16.6662%
Player: 5, 2249, Equity: 16.6602%
Player: 6, 1, Equity: 0.0086%
but in this case I think chip ev is also overvaluing a single chip, it's then 0.0074%. The only real chance of getting some money is a couple of really flukey hands with multiple big clashes before we hit the bb or while somehow our 32o hitts hard and wins a few times
Imo the algorithm for icm does drop the $ value in a reasonable way as this small stack size shrinks toward 1 chip.
There will be plenty of old posts about the icm algorithm, I haven't looked but I suspect the search feature will find plenty of good info.