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Liquidity providers (LPs) in automated market makers lose value to arbitrageurs trading against stale on-chain prices, and no existing AMM bounds this loss by design, so passive liquidity is not yet a low-risk DeFiprimitive. BRO-AMM (Bonded Reconciliation Oracle AMM) is a Uniswap v4 hook built on one principle:after a block, chain history and signed market prices establish what each swap did to LPs, and that recordcan settle it. A price-correcting swap keeps an allowance per unit of volume, discovered on-chain; extractionbeyond it is recaptured for LPs from stake posted before trading, which also bounds what arbitrageurs canpay for block position. Traders who overpay mint a reputation token (REP) that lowers their fees. On sixmonths of Ethereum and Arbitrum ETH/USDC data, simulation shows LPs’ losses to arbitrage falling by 68–79% on Ethereum and 49–55% on Arbitrum, mainnet LPs’ net turning from a loss into a gain, and paymentsfor position falling by 71–89%, with arbitrageurs’ margin unchanged. Settlement costs 0.18× the gas of theswaps it settles.
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Tims Pečerskis (2026) studied this question.
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