A model for AMM liquidity pools derives joint revenue bounds for providers and arbitrageurs, estimates blocks until impermanent loss, and gives a lower bound on pool fees to achieve a target probability of impermanent gain within one block.
The state of stable swaps,
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From Impermanent Loss to Sustainable Gain: Quantifying Profitability Zones for Liquidity Providers on DEX
A model for AMM liquidity pools derives joint revenue bounds for providers and arbitrageurs, estimates blocks until impermanent loss, and gives a lower bound on pool fees to achieve a target probability of impermanent gain within one block.