AMM Curves

Algorithm

Automated Market Maker (AMM) curves represent mathematical functions that define the relationship between asset prices and liquidity within a decentralized exchange. These curves, often expressed as x y = k (Constant Product Market Maker), dictate how reserves are adjusted during trades, ensuring liquidity remains available. Variations like Constant Sum, Constant Mean, and hybrid models exist, each impacting price impact and slippage differently. The selection of a specific curve is a crucial design decision, influencing the AMM’s efficiency and susceptibility to arbitrage opportunities.