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How Do Automated Market Makers (AMMs) in DeFi Replace Traditional Market Makers?

AMMs use a mathematical formula, such as $x cdot y = k$, and liquidity pools to determine asset prices and facilitate trades. They replace the human decision-making and inventory management of traditional market makers.

Instead of profiting from a bid-offer spread, AMMs earn a fee from each transaction, which is distributed to liquidity providers. The price impact acts as the effective spread.

What Is an Automated Market Maker (AMM) in the Context of a DEX?
How Do Liquidity Providers (LPs) in a DEX Earn Fees?
What Is Impermanent Loss and How Does It Affect Liquidity Providers for Derivative Pools?
Can Smart Contracts Completely Replace Traditional Legal Agreements?