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Conference paper ยท Book chapter

A Theory of Automated Market Makers in DeFi

In Lecture Notes in Computer Science โ€” 2021, pp. 168-187
From

University of Cagliari1

Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Formal Methods, Department of Applied Mathematics and Computer Science, Technical University of Denmark3

Automated market makers (AMMs) are one of the most prominent decentralized finance (DeFi) applications. They allow users to exchange units of different types of crypto-assets, without the need to find a counter-party. There are several implementations and models for AMMs, featuring a variety of sophisticated economic mechanisms.

We present a theory of AMMs. The core of our theory is an abstract operational model of the interactions between users and AMMs, which can be concretised by instantiating the economic mechanisms. We exploit our theory to formally prove a set of fundamental properties of AMMs, characterizing both structural and economic aspects.

We do this by abstracting from the actual economic mechanisms used in implementations and identifying sufficient conditions which ensure the relevant properties. Notably, we devise a general solution to the arbitrage problem, the main game-theoretic foundation behind the economic mechanisms of AMMs.

Language: English
Publisher: Springer
Year: 2021
Pages: 168-187
Proceedings: 23<sup>rd</sup> IFIP WG 6.1 International Conference on Coordination Models and Languagesec 2021
Series: Lecture Notes in Computer Science (including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISBN: 3030781410 , 3030781429 , 9783030781415 and 9783030781422
ISSN: 16113349 and 03029743
Types: Conference paper and Book chapter
DOI: 10.1007/978-3-030-78142-2_11
ORCIDs: Chiang, James Hsin yu and Lluch-Lafuente, Alberto

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