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Does the Price-Time Priority Rule Apply to Automated Market Makers (AMMs)?

No, the price-time priority rule does not apply to AMMs. AMMs use a continuous pricing function based on the ratio of assets in the liquidity pool.

Trades are executed immediately against the pool based on the smart contract's logic, not against a queue of competing limit orders. The concept of "time priority" is replaced by the sequence of transactions as determined by the blockchain's block producer.

How Do Automated Market Makers (AMMs) Determine the Price of an Asset in a Liquidity Pool?
How Do Automated Market Makers (AMMs) Differ from Traditional Order Book Exchanges in a Smart Contract Context?
Why Do Decentralized Exchanges (DEXs) Often Use Automated Market Makers (AMMs) Instead of Traditional Order Books?
How Does ‘Price-Time Priority’ in an Order Book Compare to Fee-Based Priority in a Mempool?