Title: Chopping Post by: ACE2M on September 19, 2006, 10:05:56 AM Anyone got a decent formula for chopping tourneys?
e.g. 4 players remain and the structure is 1st 5600, 2nd 2900, 3rd 1800, 4th 1200 Chipstacks = 170,000, 160,000, 60,000, 45,000 with blinds at 2000/4000 no antes. All good players. Title: Re: Chopping Post by: byronkincaid on September 19, 2006, 10:18:06 AM email Stars support and get them to do a chip count. insist repeatedly that whatever position you are in always gets a bit extra. go on tilt when they refuse and push all in every hand.
Title: Re: Chopping Post by: totalise on September 19, 2006, 10:20:18 AM Quote Anyone got a decent formula for chopping tourneys? yes... player A: anyone wanna chop? you: no that structure is mathematically perfect another way is to issue the money via chip counts: ie 4 players left... each of them is g'ted 1200 (because the worst they can do is finish 4th)... so total prize pool is 11,500... subtract the money g'teed to each (4800) which leaves 6,700, and then apportion that according to the chips 435,000 chips in play: 170k guy has 39.08% 160k guy has 36.78% 60k guy has 13.79% 45k guy has 10.34% then just mulitply that with the remaining prize pool 6700*0.3908 = $2618.36 6700*0.3678 = $2464.26 6700* 0.1379 = $923.93 6700 * 0.1034 = $692.78 170k gets $1200+2618.36 = $3,818.36 160k gets $2464.26 + $1200 = $3,614.26 60k guy gets $1200 + $923.93 = $2123.93 45k guy gets $1200 + $692.78 =$1892.78 add it up to make sure it tallys, and its $11,500 (67cent difference due to rounding) one of the main problems with this chop is that it gives more value to the big stack, but its not by a huge margin, and its difficult to get an accurate chip chop when theres 5 or 6 people in the deal.. so generally its good enough Naturally the premise is that it assumes your chances of winning correlates to the amount of chips you have, ie 170k guy has 39% of the chips in play, so he should win 39% of the time. If all the players are of equal skill, then this will be accurate, but if you are a better player you will win more then 39% of the time, so should angle for more money, the same applies to when you are a short-stack. Title: Re: Chopping Post by: Sark79 on September 19, 2006, 10:24:52 AM I thought this was going to be a cooking thread
Title: Re: Chopping Post by: ACE2M on September 19, 2006, 10:27:56 AM Quote Anyone got a decent formula for chopping tourneys? yes... player A: anyone wanna chop? you: no that structure is mathematically perfect another way is to issue the money via chip counts: ie 4 players left... each of them is g'ted 1200 (because the worst they can do is finish 4th)... so total prize pool is 11,500... subtract the money g'teed to each (4800) which leaves 6,700, and then apportion that according to the chips 435,000 chips in play: 170k guy has 39.08% 160k guy has 36.78% 60k guy has 13.79% 45k guy has 10.34% then just mulitply that with the remaining prize pool 6700*0.3908 = $2618.36 6700*0.3678 = $2464.26 6700* 0.1379 = $923.93 6700 * 0.1034 = $692.78 170k gets $1200+2618.36 = $3,818.36 160k gets $2464.26 + $1200 = $3,614.26 60k guy gets $1200 + $923.93 = $2123.93 45k guy gets $1200 + $692.78 =$1892.78 add it up to make sure it tallys, and its $11,500 (67cent difference due to rounding) one of the main problems with this chop is that it gives more value to the big stack, but its not by a huge margin, and its difficult to get an accurate chip chop when theres 5 or 6 people in the deal.. so generally its good enough Naturally the premise is that it assumes your chances of winning correlates to the amount of chips you have, ie 170k guy has 39% of the chips in play, so he should win 39% of the time. If all the players are of equal skill, then this will be accurate, but if you are a better player you will win more then 39% of the time, so should angle for more money, the same applies to when you are a short-stack. Thanks. I forgot to include the £500 saver. So £3200 - 1st and 2nd and £2000 - 3rd and 4th seems pretty reasonable. Title: Re: Chopping Post by: Sheriff Fatman on September 19, 2006, 12:23:57 PM In a heads up situation the 'mathematically correct' method is give each player 2nd place prize money and to use relative chip counts to apportion the balance between two players. The theory is that the proportion of chips in play equates to the relative chances of the players winning.
The same method can be used for more players at the table, but the calculations quickly become complicated to the extent that they couldn't reasonably be done at the time. For example, even with only 4 players, as in this case, calculating 3rd place probabilities gets pretty involved. Adding more players gives an exponential increase in complexity. Ultimately, it is possible to come up with a Probability Table of each players likely finish, after which its a simple method of applying the payouts to give an EV calculation, as below: A B C D Total Chips 170,000 160,000 60,000 45,000 435,000 1st 39.08% 36.78% 13.80% 10.34% 100.00% 2nd 33.50% 33.73% 18.46% 14.31% 100.00% 3rd 20.26% 21.47% 32.19% 26.09% 100.00% 4th 7.16% 8.02% 35.55% 49.26% 100.00% Total 100.00% 100.00% 100.00% 100.00% EV £3,610.56 £3,520.53 £2,314.16 £2,054.75 £11,500 Totalise's method is the only realistic way of coming up with something which approximates this in a short space of time. Comparing the numbers above with his figures you will see that they aren't a million miles out but that, as he stated, the approximation favours the big stacks. Sheriff Title: Re: Chopping Post by: Snatiramas on September 19, 2006, 01:14:16 PM Please remember there is no perfect way to do this..........my prefered route is to get heads up and not try to do 4 way splits..............never suggest a split...........wait for others to show their ideas...........be prepared to say no........take into account whether you are going to play with these people again............ large number of runners and deals do not normally add up to a good deal
Hang on didn't I do a six way deal once..............ignore all of the above Title: Re: Chopping Post by: Snatiramas on September 19, 2006, 01:15:21 PM I thought this was going to be a cooking thread In that case might I sugest a sharp knifeTitle: Re: Chopping Post by: TightEnd on September 19, 2006, 02:11:45 PM If you are the shortie in any multi way deal discussion don't be afraid to say no/play hardball and hold out for more than your share of the EV...just keep going on about how you are one double up away from threatening and you should be able to cut yourself something worth doing.
Title: Re: Chopping Post by: Sheriff Fatman on September 19, 2006, 02:46:58 PM Or you could go for the Tighty solution which is to get all in pre-flop one hand before a deal is done with AQ vs AK, suck out, and ensure everyone deals with roughly even stacks!
Not that I'm bitter or anything! ;grr; Sheriff Title: Re: Chopping Post by: TightEnd on September 19, 2006, 02:50:21 PM Or you could go for the Tighty solution which is to get all in pre-flop one hand before a deal is done with AQ vs AK, suck out, and ensure everyone deals with roughly even stacks! Not that I'm bitter or anything! ;grr; Sheriff shortstacked with AQ I pushed, nothing to see here Title: Re: Chopping Post by: Karabiner on September 19, 2006, 02:58:41 PM If you are the shortstack when the deal is done, always remember that you should get more than the "pure" mathematical value of your chips. On the other hand if you are the chipleader you should be prepared to accept slightly less than the "pure" mathematical value. This is because I believe that there are some implied values that need taking into account.
IMHO of course. Title: Re: Chopping Post by: Sheriff Fatman on September 19, 2006, 02:58:54 PM shortstacked with AQ I pushed, nothing to see here The push was fine (actually it was an all-in call). It was the outcome I objected to! However, my 'live cards' have since recovered the difference I'm sure! ;goodvevil; Sheriff Title: Re: Chopping Post by: TightEnd on September 19, 2006, 03:00:53 PM If you are the shortstack when the deal is done, always remember that you should get more than the "pure" mathematical value of your chips. On the other hand if you are the chipleader you should be prepared to accept slightly less than the "pure" mathematical value. This is because I believe that there are some implied values that need taking into account. IMHO of course. thats what I was trying to say, only you said it much more elegantly Title: Re: Chopping Post by: Graham C on September 19, 2006, 03:18:26 PM I can feel 50p coming on :D
Title: Re: Chopping Post by: Snatiramas on September 19, 2006, 03:22:53 PM shortstacked with AQ I pushed, nothing to see here The push was fine (actually it was an all-in call). It was the outcome I objected to! However, my 'live cards' have since recovered the difference I'm sure! ;goodvevil; Sheriff Hmmmm let me think 8 2 off suit...........pot to kettle...oh my aren't you dark Title: Re: Chopping Post by: Sheriff Fatman on September 19, 2006, 03:37:19 PM Hmmmm let me think 8 2 off suit...........pot to kettle...oh my aren't you dark It was the same tournament as that hand too! Anyhow, I think it was the memories of that hand that taught you the powers of 93o! I should be on a percentage of you for that! Sheriff Title: Re: Chopping Post by: AndrewT on September 19, 2006, 04:33:36 PM If you are the shortstack when the deal is done, always remember that you should get more than the "pure" mathematical value of your chips. On the other hand if you are the chipleader you should be prepared to accept slightly less than the "pure" mathematical value. This is because I believe that there are some implied values that need taking into account. IMHO of course. You're right. In a tournament with more than one prize, each chip you win is worth slightly less than the chips you already have. Title: Re: Chopping Post by: ACE2M on September 19, 2006, 04:36:46 PM With £6k to chop 4 ways do you think based on the chip counts that
£3200 £3200 £2000 £2000 Was a fair chop? Title: Re: Chopping Post by: Snatiramas on September 19, 2006, 04:40:18 PM I have seen worse
Title: Re: Chopping Post by: Sheriff Fatman on September 19, 2006, 04:54:52 PM With £6k to chop 4 ways do you think based on the chip counts that £3200 £3200 £2000 £2000 Was a fair chop? Apart from the fact that £1100 has gone missing somewhere. (NB: I assume the £6k is calculated after allocating everyone 4th place money of £1200). Sheriff Title: Re: Chopping Post by: ACE2M on September 19, 2006, 04:58:02 PM £400 as a saver for 10th i forgot to add again. Yes all taking 1200 for 4th.
Title: Re: Chopping Post by: Sheriff Fatman on September 19, 2006, 05:13:22 PM £400 as a saver for 10th i forgot to add again. Yes all taking 1200 for 4th. 3200 + 3200 + 2000 + 2000 + 400 = £10,800. The original prize pool quoted was £11,500. Title: Re: Chopping Post by: matt674 on September 19, 2006, 07:28:12 PM £400 as a saver for 10th i forgot to add again. Yes all taking 1200 for 4th. 3200 + 3200 + 2000 + 2000 + 400 = £10,800. The original prize pool quoted was £11,500. They are generous tippers ;) I hear the Valet took the rest of the week off............ |