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How Do Arbitrageurs Profit from the Price Difference Caused by the X Y=k Formula?

Arbitrageurs monitor the price ratio in the AMM pool and compare it to the price on external exchanges. If the price of Token A is lower in the pool than on an external exchange, they buy Token A from the pool and sell it on the exchange for a profit.

This buying pressure on Token A in the pool increases its price there. They continue this process until the price ratio in the pool aligns with the external market price, thus bringing the pool back into equilibrium.

How Do Arbitrageurs Profit from the Price Imbalance in a Liquidity Pool?
What Is the Difference between Price-Time Priority and Pro-Rata Order Matching?
What Is the Difference between an Order Book and a Liquidity Pool?
What Is the Role of a “Central Limit Order Book” (CLOB)?