IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-04920095.html
   My bibliography  Save this paper

The economics of constant function market makers

Author

Listed:
  • Michele Fabi

    (CREST - Centre de Recherche en Economie et Statistique [Bruz] - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz], ECO-Télécom Paris - Equipe Eco Economie - CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique, SES - Département Sciences Economiques et Sociales - Télécom Paris - IMT - Institut Mines-Télécom [Paris] - IP Paris - Institut Polytechnique de Paris)

  • Julien Prat

    (CNRS - Centre National de la Recherche Scientifique, X - École polytechnique - IP Paris - Institut Polytechnique de Paris, CREST - Centre de Recherche en Economie et Statistique [Bruz] - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz], IP Paris - Institut Polytechnique de Paris)

Abstract

We use microeconomic theory to describe the inner workings of Constant Function Market Makers (CFMMs). We show that standard results from consumer theory apply in this new context, endowing us with powerful tools to characterize the optimal design of CFMMs. We employ them to analyze the externalities that traders and liquidity providers exert on each other when interacting through a CFMM. Liquidity providers reduce the execution costs by flattening the bonding curve on which trades are executed.Arbitrageurs impose an adverse selection cost on liquidity providers by unfavorably rebalancing their portfolio. We show that the strengths of these two externalities are pinned down by the curvature of the bonding curve and are inversely related to each other, thereby identifying the fundamental economic tradeoff that market designers have to address.

Suggested Citation

  • Michele Fabi & Julien Prat, 2024. "The economics of constant function market makers," Working Papers hal-04920095, HAL.
    • Handle: RePEc:hal:wpaper:hal-04920095
    DOI: 10.1016/j.jcorpfin.2025.102737
    Note: View the original document on HAL open archive server: https://hal.science/hal-04920095v1
    as

    Download full text from publisher

    File URL: https://hal.science/hal-04920095v1/document
    Download Restriction: no
    File URL: https://libkey.io/10.1016/j.jcorpfin.2025.102737?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Keywords

    Automated Market Makers Decentralized Finance Blockchain Market Design. JEL Code: D47 D53; Automated Market Makers; Decentralized Finance; Blockchain; Market Design;
    All these keywords.

    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-04920095. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.