So I invested 1 bitcoin and was wondering how much the "virtual 1x kelly bankroll" was. Since you need at least 100 bitcoins invested for the special 10x kelly and I know there was a guy with 300 on 10x - I kinda assumed he is the only one and the rest on 1x kelly.
So (x=BR of 1x investors, y=10x investor BR) with max profit:
x*0.01+y*0.1=45.120425
makes:
(45.120425-y*0.1)/0.01=x
And also for total BR:
957.952783 = x+y
With this you can solve it:
(45.120425-y*0.1)/0.01=957.952783-y
((45.120425-y*0.1)/0.01)+y=957.952783
y= 394.899
x= 957.952783-394.899 = 563.053783
So the 300 btc whale has 394.899 invested by now. And the "normal 1x kelly" investors 563.053783.
If I calculate my % of the BR that is given on the invest page:
1/0.00022272*1.005008 =
4512.42816092The bankroll seems 4512 and 10x394.899+563.053783 is exactly
4512.043783. So the math works out fine and at least it looks like I am not being cheated
So basically the 10x whale gets 394.899*10/4512.42816092*100 = 87.5% of the profits (and losses) for having 394.899/957.952783*100 = 41.2% of the bankroll. Isn't that a bit silly?
The thing is AFAIK when the max profit in each bet is below 394.899*0.01+(394.899*0.01/0.875*0.125) = 4.51313142857 - even the 10x whale is not risking more than 1x kelly. Right? So even though he does get a relatively bigger share of the losses (and profits), kelly-wise he is only risking more than 1x when the bet is bigger than 4.5 BTC?
And I have 1.005008/957.952783*100 = 0.1049% of the bankroll, but get 5 times less: 1.005008/4512.42816092*100=0.022272% of the profits.
Just seems strange to me. Right now I am personally very tempted to invest 5 BTC instead of the 1 BTC that I would actually like to risk on this dice invest site. So it seems to me that the "
10x solution so you guys know I won't scam" is actually pushing small investors to invest/risk more?
IMO it should:
- Let everyone invest on 0.5 - 10x kelly, instead of a 100 btc minimum limit?
- Share the profits on 1x kelly based share of bankroll, and only give more to 10x kelly investors in case the bet was not covered by 1x kelly max bet. (But this does not really have the advantage of not risking too much on the site, I think? Only advantage of bigger max profit?)
What ya guys think?
Ps, I never read much into the kelly criterion, if I misunderstand something, pls correct me