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Journal of Corporate Finance Vol. 91 2025

The economics of Constant Function Market Makers

Michele Fabi1; Julien Prat2,3

1 Télécom Paris · 2 Centre National de la Recherche Scientifique · 3 Centre de Recherche en Économie et Statistique

open access

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.

DOI
10.1016/j.jcorpfin.2025.102737
Volume
91
Pages
102737
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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