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Course/Module 10/Topic 2 of 4Advanced

Automated Market Makers & DEXs

Deep dive into how Automated Market Makers work, the mathematics behind constant product formulas, liquidity provision, and advanced DEX mechanisms.

50 minBy Priygop TeamLast updated: Feb 2026

How AMMs Work

Traditional exchanges use order books where buyers and sellers place limit orders. AMMs replace this with liquidity pools and mathematical formulas. Uniswap's constant product formula: x × y = k, where x and y are the quantities of two tokens and k is a constant. When you buy Token A, you add Token B to the pool and remove Token A — the ratio changes, which changes the price. Larger pools have lower price impact (slippage). Curve uses a modified formula optimized for stable pairs (USDC/USDT) with very low slippage. Uniswap v3 introduced concentrated liquidity — LPs can choose specific price ranges, dramatically improving capital efficiency (up to 4000x). Liquidity providers earn a fee on every trade (typically 0.3%) proportional to their share of the pool.

DEX Comparison

  • Uniswap v3: Concentrated liquidity, multiple fee tiers (0.01%, 0.05%, 0.3%, 1%), supports ERC-20 pairs. Dominant DEX by volume
  • Curve Finance: Optimized for stable assets — extremely low slippage for stablecoin swaps. CRV token governance and vote-escrow tokenomics
  • Balancer: Multi-token pools (up to 8 tokens) with custom weights — enables index fund-like pools. Smart Order Router for best prices
  • PancakeSwap (BNB Chain): Uniswap fork on BSC — lower fees, high volume from Binance ecosystem users
  • dYdX: Decentralized perpetual futures exchange — order book model (not AMM), leveraged trading up to 20x
  • 1inch: DEX aggregator — splits trades across multiple DEXs to find the best price. Essential tool for large trades
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