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Reducing variance by mincash or playing +chip EV and risk to bust?
Nervous Mike
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January 28, 2015 - 6:08 pm
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Hello TPE,

Had a discussion on skype with a couple of friends but I wanna run it by the bright brains of TPE also.
I will copy / paste the conversation and would gladly take any advice from the sharp minds!

Mike: Btw, what approach does people nowdays have to ITM bubble play? Do we look to mincash or we take a spot that is +chip ev but risk ourself to bust? I mean as variance is big in poker, do people adjust to that?

Other dude: Just to clarify are we talking on the bubble or just after we’ve cashed?

Mike: just before ITM bubble, we have not cashed yet

Other dude: I imagine there’s a lot of factors, like your stack size, how top heavy the payout structure is, how many buy in’s a min cash is worth and how +E.V you think the spot is.

Mike: lets say 8-10bb, you know it’s close, probably a flip. If you call you risk to bust. If you don’t take the spot you can mincash but probably blind out and have a very hard time to win. Do we still always aim to win or we do mincash and take it from there? Let’s say the mincash is around 2 buy ins or so.

Other dude: I don’t think we should actively seek flips on the bubble, if the value of the spot is marginal folding is probably better

Mike: just something I have been thinking about lately as people do a lot of things to reduce variance, mincashing more can be such a thing too maybe

Other dude: Bubble plays always interesting, I think I over-adjust by never giving people credit for a hand. I think on a short stack aim to make the money and with a large stack try and build a stack. It also depends if we have fold equity or not. We don’t want to be calling off 44 to a sb shove but we want to shove it from the small blind. Be interested in what other people think

Mike: yeah I know about abuse stack, but I just say in general if this can be a way to reduce variance, let’s say you have a big agro stack pushing around the table on the bubble, you sit in big blind with AJo, you know you most likely are ahead of his shove range and he jam from the hijack. Do you make a call here or just fold, move on, blind out and mincash?
You know that if you win that hand, you get ~18bbs, and can jam on smaller stacks to the left yourself and maybe get up to 20-25bbs before ITM bubble is over and start to play it from there

Other dude: What do we think he’s shoving? any 2 or broadway cards, pairs and Ax’s

Mike: connected hands, any A, K, suited Qs, well can really be any 2
so question is, to reduce variance, we just forget what hand we have, aim to mincash and then try find a spot after we reach ITM?
As people mix in a lot of SnG’s etc in the MTT schedule as variance reducers

Other dude: I think AJo is probably to good to fold v.s his shoving range

Mike: yeah exactly, it’s too good to fold, but do we fold and mincash or take the hand and go with it and risk to bubble? From a variance perspective

Another dude: to answer that, we ALWAYS PLAY TO WIN this is the main goal ^ the decisions into close calls shouldn’t matter if we are “hoping to mincash”. We are playing to win, so if the spot is right, we take it

Other dude: There’s probably more $E.V in calling off. V.S a random hand we win 63.5% and lose 36.5%. If we think we can outplay the table and take advantage of the bubble we finish high enough on average to justify the times we bust.
If min-cashing means so much to your bankroll you shouldn’t be playing those stakes in the first place.

Mike: When you play 15-24 tables, a lot of bubble busting can make huge impact on your roll even if you play with 300 buy ins. That’s why I’m asking

Sen
Sunday Major
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January 29, 2015 - 9:23 am
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Just as a reminder, as conservative the “300 buyin rule” may seem, it could still be the case that it should be a higher number. Like 500 – 1000 buyins. This is simply because the field size has such a huge impact on variance. Stars tournaments on sundays often exceed 5000 or even 10000 players, and if you want a chance of less than 5% of going broke these extreme numbers like 500+ buyins could be appropriate. I played about 1k+ tournaments per month on stars.eu and on average had 2 months with winnings and one month losing.

I couldn't stand these long periods of losing money while working hard (even though I tried everything to work on my mental game etc.), so I decided to migrate to smaller sites with smaller fields. Since then I didn't have a losing month, I didn't even have a losing week! Sure, I rarely make more than $500 in one tournament, but I finally got rid of the insane variance big-field tournaments bring and the associated confidence- and mood swings.

Okay, sorry for the ramble, you may think “hello? the topic was bubble play not MTT variance”, but  trust me I read the whole post. And I can 100% relate to the thinking involved. And I truly believe that other dude's statement

If min-cashing means so much to your bankroll you shouldn't be playing those stakes in the first place.

is the whole answer. If your bankroll is $10k and you play a $75 tournaments with a $125 min-cash prize, this money will probably matter to you. Not much but enough to affect your play OTB. Especially if you are 16+ tabling. If it was only a $25 tournament with a $45 min-cash you will probably take your small edges more easily and make more money in the long run.

So, to answer your initial question, I believe you should play stakes where you can easily make every +chipEV decision on the bubble and abuse it vs weaker opponents whenever possible without putting much though on “Oh I can't afford to bubble this”.

NeverAA
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January 29, 2015 - 10:41 am
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I think the dude is right about saying we play it to win it. I would go for the win and the only way to do that is to play loose. Luck has to be on our side a bit because there are no guarantees we will get a better hand soon enough.

The last thing I would like to lose in a tournament is fold equity. I dont know maybe you are a tight player but I am about 27-30/17-20 vpip/pfr.

Also, I have been playing with very low bankroll and enrolling to tournaments totalling 300-400 dollars per session and I dont even think about it. I only think about analyzing and winning it all. Maybe I am a psycho, but after all the hours I put in, I wanna have the glory. 

One thing I can mention is I am playing in nj networks. So there are no huge fields. I am mixing up the tournaments I play and compensate for a loss in a big tourney with a win in a smaller tourney, instead of a mincash of another big tourney.

Foucault

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January 29, 2015 - 12:48 pm
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Very well said, Sen. If you're going to play MTTs, you just have to accept that a lot of variance comes with that. You shouldn't enter the tournaments and then tie yourself in knots trying to find ways to reduce variance. If you want less variance, play something else.

That doesn't mean playing to win (which I guess means maximizing cEV?) is always correct, either. Sometimes, such as when you have a short stack on the bubble, it can be correct to sacrifice a lot of cEV to lock up a cash. That's got nothing to do with variance, though, it's just about how the prize pool is distributed in that particular tournament.

JD
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February 1, 2015 - 8:44 am
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I've always went by feel.  To use that AJo example if the bubble was likely to burst in the next hand or two I would fold, otherwise I would stick my chips in.  It just feels right to me, however after reading this thread I thought it might be useful to consider some mathmatical justifications.  Here's what I came up with.  Keep in mind I these are just guestimates, and I'm not even sure a program like ICMIZER can calculate equity with 50, 100, or whatever players remain after the bubble bursts.  However I think it's more productive to aurgue with the variable presented, or consider others, rather than using cliches like “go for the win” and “you cant wait around for kings and aces”.  Anyway here's my logic.

 

Scenerio 1 – You fold 1-2 more hands and you're ITM with 8bb.  So you have a 95%+ (not 100% cause I'm sure you're not folding AA, and AA loses sometimes) of getting to the bubble with 8bb, and your equity roughly translates into 1.2 * MC (the min cash amount).

 

Scenerio 2 – You call AJo and have a 63% of getting past the bubble with about 18bb.  Because of the whole ICM 'the chips you lose arent worth as much as the chips you gain' thing you get 2.25 times as many chips but your equity doesn't increas as much, so it's close to 2 * MC.

 

So using these variables Scenerio 1 (.95 * 1.2 * MC) is actually less than Scenerio 2 (.63 * 2 * MC).  However this assumes you're facing a random hand, and in practice I'm not folding AJ to a range that I think approaches 100%, unless I'm gaurenteed the bubble is bursting as soon a I click the fold button.  So the more likely hands between the that decision point and the bubble actually bursting the less good Scenerio 1 is, the greater the hand vs range equity the better Scenerio 2 is.  This is for standard format.  I'm sure tubors and hyper turbos change the calculus in ways I don't fully understand.  I'm more likely to call off lighter in those formats, it just feels right.

 

Now there is a $5 tournament I sometimes play that I don't really care much about.  In that tournament I'm alway makeing the +chipEV play no matter what, but my goal there is not to maximize my cash equity.  I'm looking to get to the final table as much as possible just so I can get more practice in FT scenerios.  So in that one tournament I'm “going for the win” and “If I'm not first I'm last”, but the max EV play there would be to not even play it and pull up a cash game or SNG.

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