Which protocol has lower slippage for curve and uniswap under the same conditions?

As we all know, curve is the biggest competitor of uniswap in the field of automatic market makers. At the beginning, curve mainly provided stable coin exchange, such as USDT, USDC, DAI, etc. Its stable coin exchange even has smaller slippage than centralized exchanges. And any two ERC-20 tokens can be traded on Uniswap, and uniswap adopts a constant product market-making model. The exchange slippage of stablecoins has no advantage over curve. For a long time, there is no direct competition for curve and uniswap with different users. However, after the launch of uniswap V3, the exchange slippage of stablecoins was greatly reduced, and then curve also launched the V2 version providing the exchange of fluctuating assets. So far, curve and uniswap create fierce competition between fluctuating assets and stablecoin exchange. But many people have a question: which protocol has lower slippage for curve and uniswap under the same conditions?

To answer the above question, we compare the slippage difference between the two by the following comparable conditions:

The slippage for exchanging 2000ETH for USDT on uniswap V3 is 0.6%, and 55% of the exchange volume is exchanged through the route of the two pools of WETH/USDC — USDC/USDT. The total TVL of the two pools is 251m+129m=380m, while The TVL on curve is 403m, so under the same conditions, we need to exchange 2000*55%*403/380=1166ETH with exchange slippage of 1.47% on curve, which is more than twice the slippage on uniswap. So the slippage of the curve is larger than that of the unsiwap V3 under comparable conditions.

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https://x3finance.medium.com/which-protocol-has-lower-slippage-for-curve-and-uniswap-under-the-same-conditions-dba8dbb2513d