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Distribution Formula

PreviousReputation MiningNextConditional Liquid Staking Tokens: a Participation-based Vesting primitive

Last updated 4 months ago

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})mDi​=min(fυi​×mDtot​,mDmax​)

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

The fractional Peer Value is calculated as:

fυi=υi∑inυtot\displaystyle f\upsilon_{i} = \frac{\upsilon_{i}}{\displaystyle \sum_{i}^{n}{\upsilon_{\text{\tiny tot}}}}fυi​=i∑n​υtot​υi​​

or

fυi=(∑inυtot)−1×υi\displaystyle f\upsilon_{i} = \displaystyle (\sum_{i}^{n}{\upsilon_{\text{\tiny tot}}})^{-1} \times \upsilon_{i}fυi​=(i∑n​υtot​)−1×υi​

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{ } …)min(… , …), 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}mDi​ is the monthly distribution of $AUT to the individual ĀutID holder (i)(i)(i).

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

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

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

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