Fraktion Supplier

This function allows to fix automatically every week the new supply of fraktions for a given content and a given profitability

Free Fraktion

Free Fraktion are minted only once when a user is consuming the content for the first time. There is no supply before the minting.

Initial Supply

The number of Fraktions for the initial drop is the same for every content : Date 0

Profitability	Initial Drop	Initial Price

New Supply

Every week (Date 0 + 7 days), we check for every profitability if all the fraktions have been sold.

Case 1 : If all the fraktions haven’t been sold

No more fraktion are supplied

The price of the fraktions that haven’t been minted yet is recalculated depending on the algorithm decribed here.

Case 2 : All the fraktions have been sold

New fraktions are supplied.

The number of new fraktions $n_w$ supplied depends on :

• the number of fraktions minted during the former week

• the velocity at which the fraktions were minted

$n_w$ is in the range of 80% and 200% of the number of fraktions minted the last week, $\rho_{w-1}$.

Let $t_k$ the timestamp when the fraktion $k$ is minted

Let $t_0$ the timestamp of the last weekly anniversary (when the new fraktions were supposed to be supplied the last week). $t_0=t-168$.

$t_0$ and $t_k$ are set in hour

$$n_w=m_{w-1}\times\bigg(80\%+(200\%-80\%)\times \mu_{w-1} \bigg)$$

where

$$\mu_{w-1}=1-\frac{\sum_{k=1}^{m_{w-1}}(t_k-t_0)}{m_{w-1}\times24\times7}=1-\left(\frac{\sum_{k=1}^{m_{w-1}}t_k}{m_{w-1}}-t_0\right)\times\frac{1}{168}$$

Example :