What is AMM?

An AMM (Automated Market Maker) is an algorithm that enables trading without order books. Instead of matching buyers with sellers, AMMs use mathematical formulas to price assets based on supply in liquidity pools.

The constant product formula: x * y = k

Where x and y are token quantities, and k stays constant. When you buy token x, you add y to the pool, changing the ratio and thus the price.

Popular AMM models:

• Uniswap (x*y=k): Simple, works for all pairs
• Curve (StableSwap): Optimized for stablecoins, minimal slippage
• Balancer: Multi-asset pools with custom weights

Advantages: Always-on liquidity, no counterparty needed, permissionless listing. Disadvantages: Impermanent loss, MEV exploitation, capital inefficiency.

How the constant product formula works in depth: In the x * y = k model, the pool always maintains a fixed product of its two token reserves. When a trader buys token A, they deposit token B, increasing B's supply while decreasing A's. The price shifts along a curve, meaning larger trades cause proportionally more slippage. This differs fundamentally from traditional order book exchanges where prices are set by discrete buy and sell orders placed by market makers and traders.

Role in the DeFi ecosystem: AMMs are the backbone of decentralized finance, enabling 24/7 trading without intermediaries. They power not just spot trading but also stablecoin swaps, derivative platforms, and cross-chain bridges. Their permissionless nature means any token can have a market from day one, democratizing access to liquidity that previously required professional market makers.