📉Dynamic Incentives

The supply curve $P$ in Equation ( 1 ) is adjusted by applying a token utilisation measurement factor $v$ to the time count parameter $t$. For example, if $v$ = 50% on a constant basis, $P(t)$ would calculate${P(0), P(0.5), P(1)...}$ for calculation periods {0, 1, 2...}.

In this way emissions react and are correlated to system economic utilisation.

Defining initially:

S: tokens staked expressed as a proportion of circulating supply, S ∈ [0, 1].

L: tokens held in the Core LP pool with a hard currency pair, expressed as a proportion of circulating supply, $L ∈ (0, 1]$

Where $v=0$ if $U=0$, otherwise:$U=S+L$

$$U=S+L$$

[ v = U \cdot \left[ \frac{2LS}{S^2 + L^2} \right]^2 \

Figure 5: Utiity $v$

Figure 6: Rescaled Upsilon

Figure 7: Supply Visulisation