Strategic Liquidity Provision in Uniswap v3

Fuente: arXiv
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Main Authors: Fan, Zhou, Marmolejo-Cossío, Francisco, Moroz, Daniel J., Neuder, Michael, Rao, Rithvik, Parkes, David C.
Format: Preprint
Published: 2021
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author Fan, Zhou
Marmolejo-Cossío, Francisco
Moroz, Daniel J.
Neuder, Michael
Rao, Rithvik
Parkes, David C.
author_facet Fan, Zhou
Marmolejo-Cossío, Francisco
Moroz, Daniel J.
Neuder, Michael
Rao, Rithvik
Parkes, David C.
contents Uniswap v3 is the largest decentralized exchange for digital currencies. A novelty of its design is that it allows a liquidity provider (LP) to allocate liquidity to one or more closed intervals of the price of an asset instead of the full range of possible prices. An LP earns fee rewards proportional to the amount of its liquidity allocation when prices move in this interval. This induces the problem of {\em strategic liquidity provision}: smaller intervals result in higher concentration of liquidity and correspondingly larger fees when the price remains in the interval, but with higher risk as prices may exit the interval leaving the LP with no fee rewards. Although reallocating liquidity to new intervals can mitigate this loss, it comes at a cost, as LPs must expend gas fees to do so. We formalize the dynamic liquidity provision problem and focus on a general class of strategies for which we provide a neural network-based optimization framework for maximizing LP earnings. We model a single LP that faces an exogenous sequence of price changes that arise from arbitrage and non-arbitrage trades in the decentralized exchange. We present experimental results informed by historical price data that demonstrate large improvements in LP earnings over existing allocation strategy baselines. Moreover we provide insight into qualitative differences in optimal LP behaviour in different economic environments.
format Preprint
id arxiv_https___arxiv_org_abs_2106_12033
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Strategic Liquidity Provision in Uniswap v3
Fan, Zhou
Marmolejo-Cossío, Francisco
Moroz, Daniel J.
Neuder, Michael
Rao, Rithvik
Parkes, David C.
Cryptography and Security
Computer Science and Game Theory
Uniswap v3 is the largest decentralized exchange for digital currencies. A novelty of its design is that it allows a liquidity provider (LP) to allocate liquidity to one or more closed intervals of the price of an asset instead of the full range of possible prices. An LP earns fee rewards proportional to the amount of its liquidity allocation when prices move in this interval. This induces the problem of {\em strategic liquidity provision}: smaller intervals result in higher concentration of liquidity and correspondingly larger fees when the price remains in the interval, but with higher risk as prices may exit the interval leaving the LP with no fee rewards. Although reallocating liquidity to new intervals can mitigate this loss, it comes at a cost, as LPs must expend gas fees to do so. We formalize the dynamic liquidity provision problem and focus on a general class of strategies for which we provide a neural network-based optimization framework for maximizing LP earnings. We model a single LP that faces an exogenous sequence of price changes that arise from arbitrage and non-arbitrage trades in the decentralized exchange. We present experimental results informed by historical price data that demonstrate large improvements in LP earnings over existing allocation strategy baselines. Moreover we provide insight into qualitative differences in optimal LP behaviour in different economic environments.
title Strategic Liquidity Provision in Uniswap v3
topic Cryptography and Security
Computer Science and Game Theory
url https://arxiv.org/abs/2106.12033