Despite your efforts, it's still not very clear for (at least) me.
What if persons used 30 different values for prediction and I used 3?
You are required to assign a probability to each of the values "slots" from 0 to 491 (cents per m
BTC). The probability must be at least 0.0001%.
For your (and mine) convenience, it is possible to group the slots that in your opinion are equally probable, like I did in the example in the OP. If you give eg. 10% probability to the range 0.60-0.69 (which consists of 10 slots), the probability per slot is 10% / 10 = 1%.
You are free to give different probabilities for each of the 491 slots but many will find it better to group them. The grouping does not affect winning chances because the total percentage is divided equally to all the width of the group before applying it in the calculation.
so does "any number of classes" mean i can have 2 guesses?
e.g.
over (10 x price) : 50%
0 - (10 x price) : 50%
I'm sure i'm not the only person that will enter the competition looking to win by gaming the scoring system
Perhaps you need some way of punishing overly broad ranges (or rewarding tight ranges)?
or perhaps simpler, a maximum range size, or standardised ranges?
Like explained above, in the "atomic level" your task is to allocate one million "probability units" to (approximately) 491 slots, so that the slot where the "ball" (Bitcoin price after 30 days from the prediction) falls, contains more of your "probability units" than the other players'.
There is only the minimum of 1 PU (=0.0001%) per slot. There is no maximum, so if in your opinion it is wise to put 999510 PU's in the slot labeled as 65 (and leave all the others with the minimum) you are free to do it.
Let's calculate it out: assume that the slot is a very high probability one, and there are 20 forecasters in the game, and the others have given it a geometric average of 4% probability. You go for 99.95%. If you win, you get 20.2734 points. But the probability of winning (wisdom of crowds) was only 4%, which is 1/25. You would need at least 25 contestants to have a +EV.
If you're out of luck and any of the other 490 slots is realized, such as one with the average 1% probability, your guess of 0.0001% would net you -6308.5374 points.
* *
The grouping of slots is a user interface convenience, which you are free to use or not.
The system punishes reckless behavior, which is giving way too little probability for an event which actually has a chance to happen (only if it happens, of course). Insuring against these is easy, just give a little more weight to them.
The system rewards lucky guesses (especially on events that were not deemed probable by the others (see "reckless behavior" above)), but their EV (expected value = long term success) is still negative. Making a lucky number in a tight band (even a single slot) however does not mean that you need to sacrifice your whole prediction, even a few % will win big if the others
If others introduce volatility to the guesses, making a conservative range of estimates yourself can actually give you a positive outcome over the whole range. In the trial round in my thread, my personal estimate will net a positive score if anything below $3000/
BTC happens in 2014-5-17. This is because many of the others were playing bull and bear. Whichever happens, the correct forecasters will win big and the others lose big, but I will make a few points regardless. After 8 rounds the hotheads have hopefully made a few bad guesses negating the good ones, and I will win
You are sure that you can "game the system", but I am equally sure that the Prediction Contest has very intricate tactics in many levels of the rules, which make sure that the
best forecaster will win! After all, points are awarded
relative to others