the sweet spot is top 7. once you're there, price pools increase quite fast. in this SNG example it's like, first you beat 80% of the field, and then price rapidly goes up afterwards, but first prize is actually only like 9x that of 7th.
Compare with like a 1000 person mtt,then you might have to beat 85% of the field to get to the bubble, but the increase isn't that big until you've beaten 99%, and first prize is what, 100x that of the bubble? Basically to go from the bubble to final table in an MTT you're gonna have to double up multiple times (150 becoming 9, so your stack should be 16x bigger, or doubling 4 times).
I dunno math well enough to break it down fully, but it's like, it just seems to me intuitively that chip accumulation becomes much more important in the second scenario, while survival is much more important in the first. To look at some very basic scenarios for chip accumulation vs tournament life that might illustrate the difference between an MTT and SNG we can picture the following scenario. It's obviously unrealistic and really lacking, but it might illustrate the point.
Say that you always have a 50% chance of doubling your chips and a 50% chance of going broke, and there are 8 players left in the SNG. Everyone has 5k chips. Doubling up at this point leaves you with 10k vs 6 players with 5k, whereas losing leaves you dead. if you get to 10k, then you still need to double up twice to get all the chips and win the tournament - but 50% of the time, you lose 11% of the top payout. For simplicity we can say that the other players with 5k stacks will also flip with each other shortly after, so there's one more flip needed when there are 4 players left, and then one more when there are 2.
'Cursory' math would lead me to believe that taking a flip on the bubble of this tourney would lead to losing 50% of the time, 25% of the time getting 4th, 12.5% getting 2nd and 12.5% getting first. adding 25% of 4th, 12.5% of 2nd and 1st, we get around 10% total. With 8 players and 100% to fight for, you certainly shouldn't do something that leaves you with less than 12.5%. If I get it right, this basically means that in an even stack 45 man SNG bubble, you would want at least a 62.5% chance of winning before calling an allin would pay off. (assuming no dead money, as 62.5 is to 50 what 12.5 is to 10.)
Looking at a random MTT that finished yesterday with 1104 entries, 144th place (bubble) was $70, whereas 10th place (FT bubble) was 419, and 9th place was $507. First price was $7700. Here we can see that with the field going from 144 to 12 (so with it becoming 1/12th the size), the prize pool actually only became 6 times bigger. But if you get to 9th with equal stacks, then your expected value is around $3000. (FT prize money added up = 27000). While $419 is only 6 times the initial bubble for making the field 1/12th the original size, $3000 is more than 40 times the initial bubble, for making the field 1/15th the original size. In this scenario, taking flips with 150 people left makes way more sense.
Say once again, all stacks are equal. 150 people left. Taking the initial flip here leaves you with a 50% chance of nothing. Then the other 50% leaves you with: 25% 75th place ($100), 12.5% chance of 38th ($141), 6.25% chance of 19th ($185) and somewhere around 3.12% chance of FT ($3000). Adding those we get expected value of $160 or so, equating to getting in the top 20% of the still present field. In the SNG, flipping on the bubble would however leave you with an average outcome lower than 4th place (equating to getting below top 50% of the still present field.)
This basically just looks at how in an MTT, flipping on the bubble isn't -ev the way it is in an SNG. It doesn't even take into account how having a big stack is key for further chip accumulation without flips, which is probably the main reason why you'd take a MTT gamble that you wouldn't take in an SNG.
Also this was like the first time I tried to use math to showcase something in like, many years, bear with me if I fucked up. xd
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