Calculating EC and other dependent & independent params
Last updated
Last updated
EC is the most important parameter in the Āut's Participation framework.
It determines the expected contributions of a contributor of a Hub during a specific period.
It’s based on the Commitment Level chosen by the Individual Member, and it’s necessary to determine the ratio between the promise / commitment of a contributor, and their actual participation.
It’s calculated as:
where:
TCP: Total Contributions Points in a Community. Sum of all contributions points available in a community in a given period. They can be acquired by members by completing tasks and interactions. Each Task and Interaction has a custom weight (spacing between 1 and 10).
fiCL: Fractional Commitment Level per Individual
Deep-dive: Fractional Commitment Level
The Fractional Commitment Level is the iCL of a Hub’s participant (j) in relation to the total.
It is calculated as where is the sum of all Participants’ iCL, calculated as the ratio between and individual’s commitment level, and the sum of all the commitment levels of all Participants to a Hub in a given period:
with:
: individual Commitment Level of j
: sum of all iCLs of participants in the Hub :
where:
This way it's possible to create a generalized abstraction to factor in participants who join a community after the start of the period T.
This works simply by accounting all absolute time available in a community in relation to each individual member:
This allows for a continuous calculation of EC for all members in different, arbitrarily small intervals within the same period T.
We may consider a time factor ( or ) to determine EC based on the time left in a period:
;
;
, from which we extrapolate a fractional