Automated Market Maker Curves

Automated market maker curves are the mathematical formulas that determine the price of an asset based on the ratio of tokens in a liquidity pool. Unlike traditional order books, these curves allow for continuous liquidity without the need for buyers and sellers to match directly.

The most common model is the constant product formula, which ensures that the product of the reserves of two tokens remains constant. These curves are the backbone of decentralized exchanges, enabling efficient trading for a wide range of assets.

However, they are susceptible to impermanent loss, which occurs when the price of the deposited assets changes, resulting in a lower value compared to holding the assets in a wallet. Understanding the properties of these curves is essential for liquidity providers and traders alike.

They are a fundamental innovation in decentralized financial market architecture. The choice of curve design can significantly impact the efficiency and slippage of the trading venue.