What Is the Significance of the Constant Product Formula (X Y=k)?

The constant product formula, x y=k, is the core algorithm used by many AMMs like Uniswap. It dictates that the product of the quantities of the two assets in the pool (x and y) must remain constant (k).

This formula ensures that there is always liquidity available for a trade, no matter how large. It automatically determines the new price ratio after a swap, creating a smooth, continuous price curve.

How Would This Formula Change for a Liquidity Pool Governed by a Constant Mean or Constant Sum Formula?
What Are the Advantages and Disadvantages of Using a Constant Sum Formula versus a Constant Product Formula in an AMM?
How Does the Constant Product Formula Work in a Basic AMM?
How Does the Constant Product Formula (X Y=k) Govern AMMs?
What Is the Primary Mathematical Formula Used by AMMs to Maintain Pool Balance?
How Does the Constant Product Formula (X Y=k) Work in an AMM?
What Is the ‘K’ in the Formula, and Why Is It Essential to the Pool’s Function?
How Does the Constant Product Formula X Y = K Mathematically Dictate the Price in a Liquidity Pool?

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