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Dynamic Incentives

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Last updated 10 months ago

The supply curve PPP in Equation ( 1 ) is adjusted by applying a token utilisation measurement factor vvv to the time count parameter ttt. For example, if vvv = 50% on a constant basis, P(t)P(t)P(t) would calculateP(0),P(0.5),P(1)...{P(0), P(0.5), P(1)...} 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]L ∈ (0, 1]L∈(0,1]

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

U=S+LU=S+LU=S+L
[ v = U \cdot \left[ \frac{2LS}{S^2 + L^2} \right]^2 \
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Figure 5: Utiity vvv
Figure 6: Rescaled Upsilon
Figure 7: Supply Visulisation