The thing this is missing:
There's no promise that, if Bob is an LP in an AMM and markets move, Bob will be the one to get to trade against the AMM.
Sometimes Alice gets their order in first, and then Bob loses.
And more generally: Bob could do that trade without being an LP.
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So I'm going to be ~contrarian~ here and argue that AMMs are (in theory) isomorphic to regular liquidity providing on an order book exchange
(in normal language, that means they're the same if you look at them the right way) twitter.com/SBF_FTX/status…
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