A bonding curve is a mathematical rule linking a token’s quoted price to supply, reserves or another defined measure of market state. In token issuance systems, a smart contract can use this rule to price purchases and, where supported, redemptions.
How the curve sets a price
In a common reserve-backed model, buyers deposit a reserve asset and receive newly issued tokens. Redeeming tokens burns them and releases reserves according to the curve. An upward-sloping curve raises the marginal price as supply expands, but other shapes and one-way issuance arrangements are possible.
A purchase spanning several points on the curve has an average execution price different from the initial marginal quote. Its total cost accumulates the amounts paid for the quantity bought along that interval, plus applicable fees. A displayed starting price therefore does not necessarily apply to every token in a large order.
Uses and limitations
Bonding curves can support token distribution, automated liquidity and community funding without matching every purchase with a separate seller’s order. The economic result depends on the curve’s shape, reserve rules and any transition to another trading mechanism.
A rising curve does not guarantee profit or permanent demand. Selling can move the price downward, and redemption depends on the implemented rules and available backing. Contract bugs, administrative powers, transaction ordering and abrupt demand changes can all affect holders.