Distribution Formula

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

mDi=min(fυi×mDtot,mDmax)\displaystyle m\mathfrak{D}_{i} = \min(f\upsilon_{i} \times m\mathfrak{D}_{\tiny tot}, m\mathfrak{D}_{\tiny max})

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

The fractional Peer Value is calculated as:

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

or

fυi=(inυtot)1×υi\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( , )min(… \text{ },\text{ } …), it also verifies that the amount received by an individual won’t exceed the cap set for the monthly distribution.

Parameters

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

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

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

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

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

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