Mini
17
4.9k
resolved Jun 23
Resolved
NO

This market will resolve according to a quasi-arithmetic mean of its probability. If the mean is larger than 50%, it resolves YES. Otherwise, it resolves NO.

The particular mean I am using is the f-mean with f(p) = sgn(p-.5)*(p-.5)^2. In other words, I take the difference of the probability p from 50%, square it, add a positive sign if it's >50% and a negative sign if it's <50%, and take the average of that over the entire time the market is open (time-weighted, as always). Then I convert it back into a number between 0 and 1 (everything is symmetric between p and 1-p here, so 0.5 would be the mean if the average of sgn(p-.5)*(p-.5)^2 is 0).

The standard arithmetic mean is exactly equivalent to this procedure if you replace (p-.5)^2 with |p-.5|. In other words, this market is like a standard arithmetic mean market, except with all the probabilities weighted by their distance from 1/2. This means it rewards you more for bringing the market to more EXTREME probabilities. For example, holding it at 70% helps Team YES four times as much as holding it at 60%, instead of just twice as much. Therefore, the typical strategy of, "Don't waste effort bringing the market that much higher/lower than 50%, instead keep it slightly above or below for a long time," might not work as well.

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@PlasmaBallin Resolves NO.

i assume this resolves to no given that i don't think anyone held the probablity at 277%

is it even possible to win at this point?

*for the market to resolve yes. I don't know what I meant when I wrote that

You just have to hold the probability at 277%, no big deal

I'm guessing the complex math actually deters people from trying a gambit

current average: 0.3635391917174859

required for 50.0%: 0.5796181530936948

(Note, this average is the required f-mean, not the arithmetic mean)

Still plenty of time for any whales to step in to manipulate the market. I am disappointed by the current lack of wiggles!

We NOs fought them and crushed their hope!

bought Ṁ10 NO

This is definitely a more interesting version!