Core Parameters

$c$ : the constraining factor. It determines the maximum growth of PS from a period to the other. Especially useful with attack vectors such as Cannibal Members.

$iCL$ : Commitment Level. Represents the commitment level (CL) of an individual member (i), ranging from 1 to 10.

$TCP$ : 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).

$tiCL$ : Total Commitment Level in the Community. Sum of all participants' Individual Commitment Levels (iCL). Calculated as $\sum_{j = 1}^{n} iCL_{j}$

$fiCL$ : Fractional Commitment Level per Individual. Fraction of total commitment attributed to each member. It represents the weight that a member’s i has respect to the whole.

$ECP$ : Expected Contribution Points. Calculated as $fiCL \times TCP$.

$ECP'$ : Normalized $ECP$ that considers the Time Factor ( $T$)

$GCP$ : Given Contribution Points. Actual contributions made by a member in a given period.

$PS$ : the Participation Score of a Participant in a Hub $[\tt h \cdot]$. Each participant start with a $PS = 100$.

$p_{\tiny \ominus}$ : the penalty factor in case of inactivity during a given period. With a default value of 0.4, then customizable.

$\overrightarrow P$ : the Performance of a Participant within a Hub - given by the ratio between given and expected contribution points ( $\frac {GCP}{ECP}$) in a given period T, using ECP'.

$\Delta T$ : a time factor that helps determine the actual EC based on the time left in a period —> $EC' = EC \times \Delta(T)$

$wtf$ = Withdrawal Fee in case of a member leaving a community before the end of a period.