Automated Market Maker Curves

Algorithm

Automated Market Maker curves represent a deterministic set of functions defining trade execution prices based on pool liquidity, eliminating the need for traditional order books. These curves, typically utilizing constant product formulas like xy=k, establish a relationship between the quantities of assets within a liquidity pool, influencing price impact with trade size. The algorithmic nature ensures continuous liquidity provision and price discovery, though impermanent loss presents a key risk for liquidity providers. Sophisticated implementations incorporate dynamic fees and multi-asset curves to optimize capital efficiency and mitigate adverse selection.