AMM design evolution — Uniswap v1/v2/v3/v4 + variants (Curve / Balancer / TraderJoe)

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Overview

Since the emergence of 2018 年 Uniswap v1 , AMMs (Automated Market Makers) have evolved through 4 stages, with variants developing in parallel. The core of the design follows the progression constant product (x*y=k) → stable swap → concentrated liquidity → custom hooks, with each stage driving the liquidity efficiency, capital efficiency, and extensibility of the entire DEX ecosystem. It is the foundational technology that made DEXs viable as an alternative to order-book-style CEXs.

Uniswap lineage

• v1 (2018-11): ETH ↔ ERC20 pairs only · constant product (x*y=k) · 1% fixed fee · LP provides at a single ratio
• v2 (2020-05): direct ERC20 ↔ ERC20 pairs · flash swap (borrow → arb → repay in a single transaction) · built-in TWAP oracle · 3 -tier fees
• v3 (2021-05): concentrated liquidity — LPs can concentrate liquidity by choosing any price range · 4 -tier fees (0.01/0.05/0.30/1.00%) · capital efficiency up to 4000x for equivalent liquidity
• v4 (2024-): hooks — arbitrary logic can be injected into swap/LP events (dynamic fee / on-chain limit order / custom oracle) · singleton contract (all pools aggregated into 1 contract) · 50%+ gas reduction + extensibility

Variant AMMs

• Curve (2020-02): stable swap = constant sum + constant product hybrid · specialized for stablecoins / wrapped assets to minimize slippage · emission-allocation competition (curve war) via CRV + veCRV gauges
• Balancer (2020-03): multi-token pools at arbitrary ratios (80/20 etc.) · automatic portfolio rebalancing · index-fund-style operation possible with weighted pools
• TraderJoe Liquidity Book (2022-): bin-based AMM · divides the price range into discrete bins · zero-slippage within a bin (constant sum) · simplifies v3 ’s concentrated approach via binning

Design trade-offs

• constant product: simple / supports arbitrary token pairs / capital-inefficient in the middle price range
• stable swap: extremely high efficiency for stables / complex design / unsuitable for non-stables
• concentrated: high efficiency / increased impermanent loss / complex LP UX (requires active management)
• hooks (v4): maximum extensibility / security risk of custom logic (rising audit cost)

Practical use

DEX aggregators (global-dex-major-five-comparison’s 1inch / Paraswap / Matcha) route across multiple AMMs to achieve best execution. Because MEV bots (Flashbots) exploit gaps in AMM design (sandwich / arbitrage), each AMM is evolving toward designs that account for MEV resistance. At present Uniswap V3+V4 is the mainstream general-purpose AMM, but in the stablecoin space Curve is dominant. Perps are a separate lineage; see global-perp-dex-five-comparison.

Related

• global-dex-major-five-comparison — Uniswap / Curve / Aerodrome / PancakeSwap / Hyperliquid
• global-perp-dex-five-comparison — perp family (CLOB / oracle / AMM) vs spot AMM in this article
• native-dex-flip-incumbent-pattern — structure in which chain-native DEXs surpass external entrants
• vetoken-host-protocol-flywheel — details of the veCRV model in the Curve war
• cross-chain-four-poles-overview — cross-chain 4 overview (AMM × bridge)
• cross-chain-bridge-cex-deposit-withdrawal — cross-chain bridge × CEX deposit/withdrawal
• ve33-governance-mechanism — ve(3,3) governance mechanism