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Wombat—An Efficient Stableswap Algorithm

In: Mathematical Research for Blockchain Economy

Author

Listed:
  • Jen Houng Lie

    (The University of Hong Kong)

  • Tony W. H. Wong

    (Kutztown University of Pennsylvania
    Wombat Exchange)

  • Alex Yin-ting Lee

    (The University of Hong Kong
    Wombat Exchange)

Abstract

Curve Finance invented the first stableswap-focused algorithm. However, its algorithm involves (1) solving complex polynomials and (2) requiring assets in the pool to have the same size of liquidity. This paper introduces a new stableswap algorithm–Wombat, to address these issues. Wombat uses a closed-form solution, so it is more gas efficient and adds the concept of asset-liability management to enable single-side liquidity provision, which increases capital efficiency. Furthermore, we derive efficient algorithms from calculating withdrawal or deposit fees as an arbitrage block. Wombat is named after the short-legged, muscular quadrupedal marsupials native to Australia. As Wombats are adaptable and habitat-tolerant animals, the invariant created is also adaptable and tolerant to liquidity changes.

Suggested Citation

  • Jen Houng Lie & Tony W. H. Wong & Alex Yin-ting Lee, 2023. "Wombat—An Efficient Stableswap Algorithm," Lecture Notes in Operations Research, in: Panos Pardalos & Ilias Kotsireas & Yike Guo & William Knottenbelt (ed.), Mathematical Research for Blockchain Economy, pages 233-251, Springer.
  • Handle: RePEc:spr:lnopch:978-3-031-18679-0_13
    DOI: 10.1007/978-3-031-18679-0_13
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