Doppler Curve Lab — interactive

A whitepaper-based model of Doppler's Dutch-auction dynamic bonding curve and Multicurve mechanisms. This is a simulation, not on-chain data. The core math is ported from the doppler-sim Python engine; an in-page test block (bottom) checks the port against known values.

Sniping cost reduction

Tokens to graduate

Realized avg price

Avg price vs single curve

Liquidity vs price

Single constant-liquidity position (flat) vs the Multicurve staircase (more liquidity near tickUpper). Multicurve whitepaper Figs. 1–3.

Tokens sold per price bin

The single curve front-loads cheap tokens to early buyers (dy/dp<0, eq. A.4); Multicurve flattens the distribution.

Dutch-auction price path

Origin-tick decay mapped to price, p(t)=1.0001^bc(t) (eq. 3.5–3.6), under the chosen demand level.

Doppler Curve Lab · MIT · model based on the Doppler v1 & Multicurve whitepapers · see RESEARCH_NOTE.md and NOTES.md in the repo. Intentional simplifications: the curve is normalized so its top tick maps to price 1.0, and only the marketCap end/start ratio sets the tick span — which is why the absolute marketCap level and the numeraire price do not affect the geometry; additional curves are layered as progressively narrower ranges toward the top tick, split by the chosen share; the Dutch auction models the price path, not the per-epoch two-position liquidity placement.