Individual skill

token-bonding-curves

Use when implementing bonding curve token sales, automated market makers with supply-dependent pricing, or continuous token models. Covers linear, polynomial, logarithmic, and Bancor-style curves.

skills/token-bonding-curves/SKILL.md

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# Token Bonding Curves

## Concept

A bonding curve is a mathematical function that defines the price of a token as a function of its supply. As supply increases, price increases along the curve. Tokens are minted on buy and burned on sell, with a reserve backing the curve.

```
price = f(supply)
cost_to_buy(n) = integral(f, supply, supply + n)
proceeds_from_sell(n) = integral(f, supply - n, supply)
```

## Curve Types