Before answering Doog I want to quickly confute the martingale argument. Charging a variable fee that is 0.01-0.1% or, more simply, a flat fee of ~10
uBTC wouldn't alter the martingale strategies at all. It would at most penalize the dust bettors of which:
a) We choose to not care since they are contributing less than 0.1% of total amounts wagered on the site
OR
b) we allow them to play for free as long as they're betting amounts that are lower than, say, 1
mBTCIn either case, the most generally played martingales would be hardly affected in case of the flat fee. They would be slightly affected but not by much in case of the variable fee. (I personally prefer flat fee).
Now, on to Doog. You wouldn't be disincentivized by the new profit scheme. With a flat fee being paid, your job becomes that of enabling large amounts of bets which, ultimately, benefit the investors also since the 1% house edge is more and more guaranteed the more bets (not necessarily wagered amounts) are placed on the site. One variant of the flat fee could even be that when the bankroll wins a bet, the investors pay the fee for that bet while when the player wins the player pays.
It is not true that overtime investors would be paying the same amount. The current scheme places friction on the upside of the bankroll while exposing us investors to a larger downside. If some whale comes in and chooses to place subsequent 100+ btc bets, we the investors are risking huge downside. This is especially true since large bets are few and far between and the law of large numbers doesn't really apply to them. In these circumstances the investors are just stuck with the variance of the whale's betting strategy. If we have to pay a 10% fee on any profit we make in these circumstances, the EV for the investors is easily made negative.
Just follow the math. Let P be the probability of a bank win off of a given bet and Q be that of a loss. For convenience let M be the multiplier of the bet. The 1% house edge boils down to a very simple relationship between Q and M, namely:
QxM=0.99In the absence of a Doog fee, the EV of a bet is (in units of the betting amount):
EV = P-(M-1)xQ = P-[(0.99/Q)-1]xQ = P-0.99+Q = P-0.99+(1-P) = 0.01Where the normalization condition P+Q=1 was used in the last step. Let's now factor in Doog's cut:
EV = 0.9xP-(M-1)xQ = 0.01-0.1xPIt's easily seen that whenever P is greater than 0.1 (i.e. anything less than 90% bet from the bettor's perspective) the EV for the bankroll is negative. This would confirm the general perception in the trollbox that 90+% betting schemes have been very profitable for the house. Mind you that this doesn't imply anything for the gambler... he's playing the normal house odds with negative
EV=-0.01.
Hence, at the current state of affairs, the investors can expect to lose money whenever gamblers bet at less than 90%.
The EV calculation shown above can be generalized for a different "Doog tax" which I will denote as G. Currently, G=0.9. Repeating the calculation results in:
EV=0.01-(1-G)xPwhich is negative whenever
P>0.01/(1-G).
Clearly, unless
G=1, there will always be percentage threshold beyond which the EV for investors is negative. Considering that a lot of gamblers bet at probabilities that are less than 90%, this is something which should be seriously addressed.
Now, in Doog's defense, one might argue that this EV calculation which already considers a large number of bets being made, also assumes that a cut is being taken whenever the house wins. In reality though, Doog takes his cut only once a week thus allowing us to play at a positive EV for a week at a time and, only on sundays, paying the cut to Doog.
This argument can be easily confuted though by compounding all weekly bets into one average bet after which, in case of a bank win, Doog takes his cut. We can then reproduce the same exact calculation for the investor EV as before. The one key parameter that we need is the average betting probability weighted by the bet wager size. DOOG... if you could supply me with this number I'd be very grateful.
In other words, for every bet made on a weekly basis denote
P1,2,...,n the probability at which each bet was placed and
K1,2,...,n the amount wagered. Then the average betting probability is:
=SUM{PnKn}/SUM{Kn}
If
is less than 90% then we have a serious problem on our hands!
Last but not least, I'd like to tackle the all too easy standard of "if it ain't broke, don't fix it".
Lets stop for a moment and discuss honestly about what it means for something to be broken.
The house profit is a quarter of what it should be. Granted that this was due to a "very lucky" streak by the biggest whale bettor of all times (Nakowa), and that the biggest loss the site incurred happened on a timescale of about a week, the above mathematical EV argument shows that the investors risk to incur a larger burden than they should granted the money that they put up. In some circumstances they even stand to lose with a higher probability than the bettors themselves!
It is for all these reasons that I continue to press for a serious consideration of a flat betting fee in exchange for full profit in the pockets of the investors.
I look forward to receiving the piece of data I requested.