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Old 10-24-2007, 01:47 PM
curtains curtains is offline
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Join Date: May 2003
Location: Philadelphia
Posts: 13,960
Default Re: Terrible money bubble spot in 100r

[ QUOTE ]
reading this thread it seems that the obvious answer is the correct one, that hero should fold. just for the hell of it i fooled around with the numbers and came up with some curious/interesting results.

first, i screwed around with poker stove an tried to find hero's equity against various ranges of utg+1 and sb if hero should call. for instance, if utg+1 has exactly AA and sb has exactly KK, hero has 17% equity. if utg+1 and sb both moved in with top 10%, hero's equity is 21.6%. with this data, for the sake of simplicity assume hero has about 20% equity vs any reasonable ranges.

quite frankly, i have a difficult time putting precise ranges on utg+1 and sb, since the shove by utg+1 is a little odd with a cripple in the bb and a huge stack in the sb, so , again, for simplicity i'll assume their ranges are similar.

that being stipulated, if hero folds, sb wins 50% of the time putting hero itm and utg+1 wins 50% of the time doubling up and leaving hero with 543 chips after he posts the next hand. his chance of cashing at this point is close to zero.

therefore hero's equity of folding is $903.6 / 2 = +451.80 hence , the logic of folding.

but let's explore what happens if hero decides to call. 80% of the time he loses and bubbles.

20% of the time he wins and his stack moves up to 16,329 chips and he is still alive.

of the 20% of the time his cards hold up, 50% of that time the sb wins the side pot and utg+1 bubbles and hero wins $903.60 and is still in the tourney with 16,329 chips and can possibly move up. the other 50% of that time, utg+1 will win the side pot and there will still be 19 left with hero with 16,329 chips, still alive, but with zero monies. so hero's immeadiate equity of calling equals $903.60 x 10% = $90.36. obv that folding is better than calling by $451.80 - $90.36 = $361.44.

but that's not the whole story. the 20% of the time hero calls and wins the show down, he not only gets the cash equity, but 16,329 chips that may enable him to win a lot more money with 18 or 19 players left. how much money would hero have to win to make calling = folding ???

if x equals the equlibrium point in dollars that hero needs to win with his 16,329 chips the 20% of the time he wins the showdown to make equity of folding = equity of calling then .8($0) + .2($X) = $351.44 or x = $1,807.44

so, if i didn't unmercifully bollox this math up, if apestyles calls and the 20% of the time his hand holds up, if he can win $1,807.44 with the 16,329 chips he has, then calling is just as good as folding.

can apestyles take 5.5 bb's and move up substantially with 18 or 19 players left ?? i don't know the structure of the payouts, but at least 2 players at his table will have around 20k in chips, so it.s's not out of the question for a top player.........

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If hero folds they still have a non-zero chance of cashing. Saying it's zero is really innaccurate, you just have to double up one or two times to get back in it, or hope for a bust on another table in the next few hands, all of which is very possible.
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