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An Improved Algorithm to Identify More Arbitrage Opportunities on Decentralized Exchanges

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Listed:
  • Yu Zhang
  • Tao Yan
  • Jianhong Lin
  • Benjamin Kraner
  • Claudio Tessone

Abstract

In decentralized exchanges (DEXs), the arbitrage paths exist abundantly in the form of both arbitrage loops (e.g. the arbitrage path starts from token A and back to token A again in the end, A, B,..., A) and non-loops (e.g. the arbitrage path starts from token A and stops at a different token N, A, B,..., N). The Moore-Bellman-Ford algorithm, often coupled with the ``walk to the root" technique, is commonly employed for detecting arbitrage loops in the token graph of decentralized exchanges (DEXs) such as Uniswap. However, a limitation of this algorithm is its ability to recognize only a limited number of arbitrage loops in each run. Additionally, it cannot specify the starting token of the detected arbitrage loops, further constraining its effectiveness in certain scenarios. Another limitation of this algorithm is its incapacity to detect non-loop arbitrage paths between any specified pairs of tokens. In this paper, we develop a new method to solve these problems by combining the line graph and a modified Moore-Bellman-Ford algorithm (MMBF). This method can help to find more arbitrage loops by detecting at least one arbitrage loop starting from any specified tokens in the DEXs and can detect the non-loop arbitrage paths between any pair of tokens. Then, we applied our algorithm to Uniswap V2 and found more arbitrage loops and non-loops indeed compared with applying the Moore-Bellman-Ford (MBF) combined algorithm. The found arbitrage profit by our method in some arbitrage paths can be even as high as one million dollars, far larger than that found by the MBF combined algorithm. Finally, we statistically compare the distribution of arbitrage path lengths and the arbitrage profit detected by both our method and the MBF combined algorithm, and depict how potential arbitrage opportunities change with time by our method.

Suggested Citation

  • Yu Zhang & Tao Yan & Jianhong Lin & Benjamin Kraner & Claudio Tessone, 2024. "An Improved Algorithm to Identify More Arbitrage Opportunities on Decentralized Exchanges," Papers 2406.16573, arXiv.org.
    • Handle: RePEc:arx:papers:2406.16573
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    References listed on IDEAS

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    1. Jiahua Xu & Krzysztof Paruch & Simon Cousaert & Yebo Feng, 2021. "SoK: Decentralized Exchanges (DEX) with Automated Market Maker (AMM) Protocols," Papers 2103.12732, arXiv.org, revised Mar 2023.
    2. Zhenyu Cui & Wenhan Qian & Stephen Taylor & Lingjiong Zhu, 2020. "Detecting and identifying arbitrage in the spot foreign exchange market," Quantitative Finance, Taylor & Francis Journals, vol. 20(1), pages 119-132, January.
    3. Jan Arvid Berg & Robin Fritsch & Lioba Heimbach & Roger Wattenhofer, 2022. "An Empirical Study of Market Inefficiencies in Uniswap and SushiSwap," Papers 2203.07774, arXiv.org, revised May 2022.
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