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Batch auctions are a classical market microstructure, acclaimed for their fairness properties, and have received renewed interest in the context of blockchain-based financial systems. Constant function market makers (CFMMs) are another…

Computer Science and Game Theory · Computer Science 2024-06-24 Geoffrey Ramseyer , Mohak Goyal , Ashish Goel , David Mazières

We develop an axiomatic theory for Automated Market Makers (AMMs) in local energy sharing markets and analyze the Markov Perfect Equilibrium of the resulting economy with a Mean-Field Game. In this game, heterogeneous prosumers solve a…

Theoretical Economics · Economics 2026-01-01 Michele Fabi , Viraj Nadkarni , Leonardo Leone , Matheus X. V. Ferreira

We study a novel automated market maker design: the function maximizing AMM (FM-AMM). Our central assumption is that trades are batched before execution. Because of competition between arbitrageurs, the FM-AMM eliminates arbitrage profits…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Andrea Canidio , Robin Fritsch

Blockchains have popularized automated market makers (AMMs). An AMM exchange is an application running on a blockchain which maintains a pool of crypto-assets and automatically trades assets with users governed by some pricing function that…

Computer Science and Game Theory · Computer Science 2025-09-16 T-H. Hubert Chan , Ke Wu , Elaine Shi

Automated market makers (AMMs) have emerged as the dominant market mechanism for trading on decentralized exchanges implemented on blockchains. This paper presents a single mechanism that targets two important unsolved problems for AMMs:…

Trading and Market Microstructure · Quantitative Finance 2025-02-13 Austin Adams , Ciamac C. Moallemi , Sara Reynolds , Dan Robinson

We investigate the market microstructure of Automated Market Makers (AMMs), the most prominent type of blockchain-based decentralized exchanges. We show that the order execution mechanism yields token value loss for liquidity providers if…

Trading and Market Microstructure · Quantitative Finance 2021-07-22 Agostino Capponi , Ruizhe Jia

We consider the Arrow--Debreu exchange market model under the assumption that the agents' demands satisfy the weak gross substitutes (WGS) property. We present a simple auction algorithm that obtains an approximate market equilibrium for…

Computer Science and Game Theory · Computer Science 2022-05-03 Jugal Garg , Edin Husić , László A. Végh

Within this work we consider an axiomatic framework for Automated Market Makers (AMMs). AMMs are smart contracts that set prices for swaps on a pool of assets. By imposing reasonable axioms on the underlying utility function, we are able to…

Mathematical Finance · Quantitative Finance 2025-02-04 Maxim Bichuch , Zachary Feinstein

In this article we consider combinatorial markets with valuations only for singletons and pairs of buy/sell-orders for swapping two items in equal quantity. We provide an algorithm that permits polynomial time market-clearing and -pricing.…

Optimization and Control · Mathematics 2017-10-30 Johannes C. Müller , Sebastian Pokutta , Alexander Martin , Susanne Pape , Andrea Peter , Thomas Winter

We study a new "laminated" queueing model for orders on batched trading venues such as decentralised exchanges. The model aims to capture and generalise transaction queueing infrastructure that has arisen to organise MEV activity on public…

Trading and Market Microstructure · Quantitative Finance 2024-01-17 Andrew W. Macpherson

This paper develops algorithms to solve strong-substitutes product-mix auctions. That is, it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their…

Computer Science and Game Theory · Computer Science 2023-07-11 Elizabeth Baldwin , Paul W. Goldberg , Paul Klemperer , Edwin Lock

We propose a new methodology to compute equilibria for general equilibrium problems on exchange economies with real financial markets, home-production, and retention. We demonstrate that equilibrium prices can be determined by solving a…

Optimization and Control · Mathematics 2025-06-23 Julio Deride

In this work, we study an equilibrium-based continuous asset pricing problem which seeks to form a price process endogenously by requiring it to balance the flow of sales-and-purchase orders in the exchange market, where a large number of…

Mathematical Finance · Quantitative Finance 2021-09-28 Masaaki Fujii , Akihiko Takahashi

We use valid inequalities (cuts) of the binary integer program for winner determination in a combinatorial auction (CA) as "artificial items" that can be interpreted intuitively and priced to generate Artificial Walrasian Equilibria. We…

Theoretical Economics · Economics 2026-03-20 Robert Day , Benjamin Lubin

Automated Market Makers (AMMs) are a central component of decentralized exchanges, yet their equilibrium foundations and microeconomic mechanisms remain incompletely understood. This paper develops a dynamic equilibrium framework for…

General Economics · Economics 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

Automated Market Makers (AMMs) are major centers of matching liquidity supply and demand in Decentralized Finance. Their functioning relies primarily on the presence of liquidity providers (LPs) incentivized to invest their assets into a…

Machine Learning · Computer Science 2024-04-30 Viraj Nadkarni , Jiachen Hu , Ranvir Rana , Chi Jin , Sanjeev Kulkarni , Pramod Viswanath

We study the problem of optimal execution of a trading order under Volume Weighted Average Price (VWAP) benchmark, from the point of view of a risk-averse broker. The problem consists in minimizing mean-variance of the slippage, with…

Trading and Market Microstructure · Quantitative Finance 2015-09-30 Enzo Busseti , Stephen Boyd

Under the same assumptions made by Mas-Colell et al. (1995), I develop a short, simple, and complete proof of existence of equilibrium prices based on excess demand functions. The result is obtained by applying the Brouwer fixed point…

Theoretical Economics · Economics 2018-09-25 Simone Tonin

Arbitrage can arise from the simultaneous purchase and sale of the same asset in different markets in order to profit from a difference in its price. This work systematically reviews arbitrage opportunities between Automated Market Makers…

Cryptography and Security · Computer Science 2024-06-27 Krzysztof Gogol , Johnnatan Messias , Deborah Miori , Claudio Tessone , Benjamin Livshits

The rise of Ethereum and other blockchains that support smart contracts has led to the creation of decentralized exchanges (DEXs), such as Uniswap, Balancer, Curve, mStable, and SushiSwap, which enable agents to trade cryptocurrencies…

Optimization and Control · Mathematics 2021-07-28 Guillermo Angeris , Akshay Agrawal , Alex Evans , Tarun Chitra , Stephen Boyd
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