no, misch, it's pretty boring. stop stirring stuff up, ty.
here's some maths btw (also pretty boring).
doyle - 45m
me - 5m
harrington - 10m
ivey - 10m
let's ignore the fact that this whole question is silly because people wouldn't be open shoving deep stacks and try and give ranges
ivey - AA-QQ/AK
harrington - AA-QQ
doyle - AA-QQ (heck i doubt he calls with QQ but w/e)
equity win tie pots won pots tied
Hand 0: 61.681% 51.60% 10.08% 450514980 88054536.00 { AcAd }
Hand 1: 10.766% 07.11% 03.65% 62122824 31878600.00 { QQ+, AKs, AKo }
Hand 2: 13.777% 10.25% 03.53% 89482830 30806916.00 { QQ+ }
Hand 3: 13.777% 10.25% 03.53% 89482830 30806916.00 { QQ+ }
61% of the time we will win and our stack will be 20m
39% of the time we will lose and our stack will be 0
cEV(call) = (0.61*20m)+(0*0.39) = 18.3m
cEV(fold) = 0 (obviously)
cEV(call) = +13.3m
okay, so we're passing up 13million chips in EV if we fold, but we probably knew that. still, i had to say it.
now let's take a look at the specifics as regards actual $EV.
there is $19m to be won, $1m of which is guaranteed, so $18m to play for. there are 70m chips in play, of which, before cards are dealt, we have 5m, or ~7%.
we're guaranteed $1m and we have 7% (5/70) equity (assuming equal skill levels which is obviously flawed, but seeing as if we assume we're at a skill disadvantage
we should be more inclined to call and I'm going to prove we should call anyway, this is moot) in the remaining $18m. At hand start we have $1.26m in equity.
if we fold, three things can happen. let's boot up pstove again.
equity win tie pots won pots tied
Hand 0: 25.920% 23.29% 02.63% 1111012080 125426752.00 { QQ+, AKs, AKo }
Hand 1: 37.040% 33.85% 03.19% 1614529260 152363284.00 { QQ+ }
Hand 2: 37.040% 33.85% 03.19% 1614529260 152363284.00 { QQ+ }
doyle can win and we will get second guaranteed. this will happen 37% of the time, and we will have 5m of 70m in play but be guaranteed $4m. our equity will be the
$4m we're guaranteed plus 7% of the remaining $12m = $4.84m
harrington can win and we will get third guaranteed. this will happen 37% of the time too, we will have the same 5m of 70m chips. this time we're guaranteed $2m
and our equity is $2m plus 7% of the remaining $16m = $3.12m
ivey can win, we're third guaranteed, 26% of the time. our equity is as above, $3.12m
so if we fold, our equity is (0.37*4.84)+(0.37*3.12)+(0.26*3.12) = 1.79m + 1.15m + 0.81m = $3.75m = +$2.49m
so we gain $2.49m by folding
now let's look at what happens if we call.
39% of the time we lose and our equity is simply the $1m we take for 4th.
61% of the time we win. three things can happen if we win.
doyle can win the side pot, we're second guaranteed. again this will happen 37% of the time, but this time we will have 20m of the 70m in play. guaranteed $4m,
equity is $4m plus 28.5% (20/70) of the remaining $12m = $7.42m
harrington can win the side pot, we're third guaranteed. this happens 37% of the time, and we will have 20m of the 70m left. guaranteed $2m, equity is $2m plus
28.5% of the remaining $16m = $4.56m
ivey can win, yadda yadda yadda, happens 26% of the time, equity is $4.56m too.
so if we win our equity is (0.37*7.42)+(0.37*4.56)+(0.26*4.56) = 2.75m + 1.69m + 1.19m = $5.63m = +$4.37m
we win 61% of the time, so our actual equity if we call is (0.61*5.63m)+(0.39*1m) = $3.82m.
so on the face of it it looks close ($EV(call) is less than $100k more then $EV(fold)), but taking into account the fact that first place is worth a lot more than $12m, the top-heavy prize structuring, the fact that we're at a skill disadvantage and the fact that I rounded our win % down to 61% rather than up to the 62% it's closer to (I got 10 minutes into this before noticing, so I'm not gonna correct it) makes it a pretty basic call.
folding would be reasonable with only a couple of million chips or so though, obviously.