How to expand Prestige through external Data Sources

The basic Prestige model can be infinitely expanded, compartmentalizing the different sources in an approach such as $\displaystyle \frac {\sum \Delta K_{S}} {\sum S}$, where:

• $\Delta K$: the change in the parameters calculated from the individual sources S between an interval and the other, and

• $S$: the external Source of reference.

The purpose of expansions is incorporating external factors or metrics into the Prestige calculation - such as historical / financial data from existing DAOs or off-chain communities - from platforms such as Dune Analytics, or the community's impact / recognition within the broader ecosystem.

In this case we consider the basic Prestige as AV, the Absolute Value, in its extended formula:

$$AV_{n} = \begin{cases} AV_{(n-1)} \times min(\Delta K, c) \text{ if } \Delta K \ge 1 \\ \\ AV_{(n-1)} \times max(\Delta K, pf) \text{ if } \Delta K < 1\end{cases}$$

where:

• AV is the Absolute Value, calculated using the extended formula for Prestige.

• $whatever$ is any external Source (S).