Distribution Formula

Each period, the allocation of $AUT is calculated through:

$\displaystyle m\mathfrak{D}_{i} = \min(f\upsilon_{i} \times m\mathfrak{D}_{\tiny tot}, m\mathfrak{D}_{\tiny max})$

where $f\upsilon_{i}$ is the fractional Peer Value ( $\upsilon$ ) of an individual respect to the Peer Values of all other ĀutID holders.

The fractional Peer Value is calculated as:

$\displaystyle f\upsilon_{i} = \frac{\upsilon_{i}}{\displaystyle \sum_{i}^{n}{\upsilon_{\text{\tiny tot}}}}$

or

$\displaystyle f\upsilon_{i} = \displaystyle (\sum_{i}^{n}{\upsilon_{\text{\tiny tot}}})^{-1} \times \upsilon_{i}$

which is exactly the same, but looks much prettier.

This formula distributes to each ĀutID holder an individual share of the Periodic distribution of $AUT - based on their Peer Value respect to the Peer Value of all holders.

Being based on a $min(… \text{ },\text{ } …)$, it also verifies that the amount received by an individual won’t exceed the cap set for the monthly distribution.

Parameters

• $m\mathfrak{D}_{i}$ is the monthly distribution of $AUT to the individual ĀutID holder $(i)$.

• $\upsilon_{i}$ is the Peer Value of the ĀutID holder $(i)$.

• $\sum \upsilon_{\text{tot}}$ is the total Peer Value of all ĀutID holders.

• $m\mathfrak{D}_{\text{tot}}$ is the total amount of $AUT allocated for distribution in that particular month.

• $m\mathfrak{D}_{\text{max}}$ is the maximum amount of $AUT that any individual ĀutID holder can receive in a Period.