How Is the Price of Assets Maintained within an Automated Market Maker (AMM) Pool?

The price is maintained by a constant function formula, such as x · y = k, where x and y are the quantities of the two assets in the pool, and k is a constant. When a trader buys one asset, they reduce its supply and increase the other's, which algorithmically adjusts the price ratio to reflect the trade.

What Is an Automated Market Maker (AMM) and How Does It Relate to Smart Contracts?
How Does the Constant Product Formula (X Y=k) Govern the Price within a Liquidity Pool?
In Derivatives, How Does a “Basis Risk” Parallel the Challenge of the Nothing-at-Stake Problem?
How Does the Lack of a Central Order Book on an Automated Market Maker (AMM) DEX Change the Nature of Front-Running?
How Is the Concept of “Slippage” Related to the AMM’s Mathematical Formula?
How Is the Value of a Tokenized Physical Asset Maintained?
How Is Slippage Calculated in an Automated Market Maker (AMM) Environment?
How Is the “Peg” of a Stablecoin Maintained, and What Causes It to Break?

Glossar