Arbitrage on Decentralized Exchanges

Fuente: arXiv
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Hauptverfasser: He, Xue Dong, Yang, Chen, Zhou, Yutian
Format: Preprint
Veröffentlicht: 2025
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author He, Xue Dong
Yang, Chen
Zhou, Yutian
author_facet He, Xue Dong
Yang, Chen
Zhou, Yutian
contents Decentralized exchanges using automated market makers create arbitrage opportunities with centralized exchanges, where gas fees and transaction ordering are critical. Existing models largely overlook competition among arbitrageurs, despite price discrepancies being public information. We develop the first equilibrium model of gas fee competition between two arbitrageurs under three transaction reversion settings: no-revert, auto-revert, and selectable-revert. We show that pure symmetric equilibria do not exist, but unique mixed equilibria can be characterized. Comparative analysis reveals that under low inventory risk, the no-revert setting favors arbitrageurs in terms of profit, while auto-revert and selectable-revert settings enhance market efficiency. Under high inventory risk, the no-revert and selectable-revert settings dominate the auto-revert setting in both profitability and efficiency. Using data from Binance and Uniswap V2, we empirically confirm that arbitrageurs face positive inventory risk and validate our model's implications: gas fees increase with price discrepancies and liquidity, while trading amounts rise with both price discrepancies and gas fees.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08302
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Arbitrage on Decentralized Exchanges
He, Xue Dong
Yang, Chen
Zhou, Yutian
Mathematical Finance
Trading and Market Microstructure
Decentralized exchanges using automated market makers create arbitrage opportunities with centralized exchanges, where gas fees and transaction ordering are critical. Existing models largely overlook competition among arbitrageurs, despite price discrepancies being public information. We develop the first equilibrium model of gas fee competition between two arbitrageurs under three transaction reversion settings: no-revert, auto-revert, and selectable-revert. We show that pure symmetric equilibria do not exist, but unique mixed equilibria can be characterized. Comparative analysis reveals that under low inventory risk, the no-revert setting favors arbitrageurs in terms of profit, while auto-revert and selectable-revert settings enhance market efficiency. Under high inventory risk, the no-revert and selectable-revert settings dominate the auto-revert setting in both profitability and efficiency. Using data from Binance and Uniswap V2, we empirically confirm that arbitrageurs face positive inventory risk and validate our model's implications: gas fees increase with price discrepancies and liquidity, while trading amounts rise with both price discrepancies and gas fees.
title Arbitrage on Decentralized Exchanges
topic Mathematical Finance
Trading and Market Microstructure
url https://arxiv.org/abs/2507.08302