3. The Ghost & the House on Fire

What to do in case of fire Member’s Withdrawal.

Since Āut's PS framework introduces a "staking-your-reputation" algorithm of sort, where PS is a measure of someone's credibility in the ecosystem, as well as a vector to attract and grow continuous, recurring income - then it'd make sense to introduce a Withdrawal fee (wtf).

A predictive coefficient that penalizes the withdrawing-Participants based on the negative impact of their premature abandonment ("ghosting") of the Hub.

In this case, we could take the Generalized Formula:

PSn=min(PSn,c×PSn1)PS_{n}' = min(PS_{n}, c \times PS_{n-1})

And - in case of withdrawal - trigger a new step of normalization for PS.

It would be calculated as:

PSn=PSn×wtfPS_{n}'' = PS_{n}' \times wtf

where wtf is the Withdrawal Fee, calculated as:

wtf=min(p,TcTi)wtf = min(p_{\tiny\ominus}, \frac {T_{c}} {T_{i}})

where:

  • TcT_{c} is the Time Completed in the period

  • TiT_{i}is the Initial Time, the total time at the start of a period

This way, at any point, we will have a wtfpwtf \le p_{\tiny\ominus}, ensuring that wtf would have an equal or lower impact on Member's Rep than the Penalty Factor ( pp_{\tiny \ominus}) for extended inactivity in a given period.

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