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I don't think this is the right framing. Are you implying that AMM LPs are willing to accept a % fee that is so low that sophisticated MMs (and other competing AMMs) just won't bother participating in the market?
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Replying to @srndptme and @cyounessi1
The following image demonstrates how sophisticated MMs can eat into AMM fees until it is no longer viable to overcome impermanent loss.
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I just mean mathematically, in the short run, it is not a zero-sum game. ETH price goes from $300 to $310, arbitrageurs trade and make money. Market price goes from $310 to $300, arbitrageurs trade and make money. Liquidity providers now have more money than they started with.
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