AMM Model

Algorithm

Automated Market Makers (AMMs) represent a significant departure from traditional order book exchanges, utilizing mathematical formulas to price assets and facilitate trades without requiring centralized intermediaries. These algorithms typically employ a constant product formula, such as xy=k, where x and y represent the quantities of two tokens within a liquidity pool, and k remains constant during trades. The core function of the algorithm is to maintain this invariant, adjusting prices based on the relative changes in token quantities resulting from buy and sell orders, inherently creating price discovery through supply and demand dynamics. Consequently, AMMs introduce a novel mechanism for liquidity provision and price determination in decentralized finance (DeFi) ecosystems.