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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

We study the economics of transaction reverts on Ethereum rollups and show that they are not accidental failures but equilibrium outcomes of MEV strategies. Using execution traces from major L2s, we find that over 80% of reverted…

Cryptography and Security · Computer Science 2025-09-23 Krzysztof Gogol , Manvir Schneider , Claudio Tessone

We develop a mixed control framework that combines absolutely continuous controls with impulse interventions subject to stochastic execution delays. The model extends current impulse control formulations by allowing (i) the controller to…

Trading and Market Microstructure · Quantitative Finance 2026-02-20 Philippe Bergault , Yadh Hafsi , Leandro Sánchez-Betancourt

In this letter, we address the problem of controlling energy storage systems (ESSs) for arbitrage in real-time electricity markets under price uncertainty. We first formulate this problem as a Markov decision process, and then develop a…

Machine Learning · Computer Science 2019-05-07 Hanchen Xu , Xiao Li , Xiangyu Zhang , Junbo Zhang

Blockchain systems, such as Ethereum, use an approach called "metering" to assign a cost to smart contract execution, an approach which is designed to incentivise miners to operate the network and protect it against DoS attacks. In the…

Cryptography and Security · Computer Science 2020-03-11 Daniel Perez , Benjamin Livshits

Given the rapid rise of electric vehicles (EVs) worldwide, and the ambitious targets set for the near future, the management of large EV fleets must be seen as a priority. Specifically, we study a scenario where EV charging is managed…

Multiagent Systems · Computer Science 2020-01-31 Alvaro Perez-Diaz , Enrico Gerding , Frank McGroarty

Automated Market Makers (AMMs) are decentralized applications that allow users to exchange crypto-tokens without the need for a matching exchange order. AMMs are one of the most successful DeFi use cases: indeed, major AMM platforms process…

Cryptography and Security · Computer Science 2022-07-20 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

The Empirical Revenue Maximization (ERM) is one of the most important price learning algorithms in auction design: as the literature shows it can learn approximately optimal reserve prices for revenue-maximizing auctioneers in both repeated…

Computer Science and Game Theory · Computer Science 2020-10-13 Xiaotie Deng , Ron Lavi , Tao Lin , Qi Qi , Wenwei Wang , Xiang Yan

We introduce the Estimated Dynamic Equilibrium Model (EDEM), an agent-based framework that treats supply and demand as a coupled stochastic process driven by heterogeneous, noisy agent valuations. The model's primary technical contribution…

Multiagent Systems · Computer Science 2026-05-18 Mikhail L. Arbuzov , Sisong Bei , Alexey Shvets

Maximal Extractable Value (MEV) in Constant Function Market Making is fairly well understood. Does having dynamic weights, as found in liquidity boostrap pools (LBPs), Temporal-function market makers (TFMMs), and Replicating market makers…

Trading and Market Microstructure · Quantitative Finance 2024-04-26 Matthew Willetts , Christian Harrington

This paper studies an equity market of stochastic dimension, where the number of assets fluctuates over time. In such a market, we develop the fundamental theorem of asset pricing, which provides the equivalence of the following statements:…

Mathematical Finance · Quantitative Finance 2023-09-06 Erhan Bayraktar , Donghan Kim , Abhishek Tilva

We propose a new, more potent attack on decentralized exchanges. This attack leverages absolute commitments, which are commitments that can condition on the strategies made by other agents. This attack allows an adversary to charge monopoly…

Computer Science and Game Theory · Computer Science 2024-10-18 Daji Landis , Nikolaj I. Schwartzbach

Modelling joint dynamics of liquid vanilla options is crucial for arbitrage-free pricing of illiquid derivatives and managing risks of option trade books. This paper develops a nonparametric model for the European options book respecting…

Computational Finance · Quantitative Finance 2021-08-24 Samuel N. Cohen , Christoph Reisinger , Sheng Wang

MEV attacks have been an omnipresent evil in the blockchain world, an implicit tax that uninformed users pay for using the service. The problem arises from the miners' ability to reorder and insert arbitrary transactions in the blocks they…

Cryptography and Security · Computer Science 2022-11-29 Dev Churiwala , Bhaskar Krishnamachari

Extreme value theory (EVT) provides an elegant mathematical tool for the statistical analysis of rare events. When data are collected from multiple population subgroups, because some subgroups may have less data available for extreme value…

Methodology · Statistics 2024-10-22 Koki Momoki , Takuma Yoshida

Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

Statistical Finance · Quantitative Finance 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

We study risk-neutral density extraction from short-dated option chains. As expiry approaches, option premia decline and bid--ask spreads can be large relative to prices, making mid quotes particularly uninformative. Stale or asynchronous…

Computational Finance · Quantitative Finance 2026-05-22 Aaron Wizman , Gabriel Turinici , Gregory Merran

Dynamic-weight AMMs (aka Temporal Function Market Makers, TFMMs) implement algorithmic asset allocation, analogous to index or smart beta funds, by continuously updating pools' weights. A strategy updates target weights over time, and…

Trading and Market Microstructure · Quantitative Finance 2026-02-26 Matthew Willetts , Christian Harrington

Non-equilibrium phenomena occur not only in physical world, but also in finance. In this work, stochastic relaxational dynamics (together with path integrals) is applied to option pricing theory. A recently proposed model (by Ilinski et…

Statistical Mechanics · Physics 2009-10-31 Matthias Otto

We propose a model suggesting that honest-but-rational consensus participants may play timing games, and strategically delay their block proposal to optimize MEV capture, while still ensuring the proposal's timely inclusion in the canonical…

Computer Science and Game Theory · Computer Science 2023-05-17 Caspar Schwarz-Schilling , Fahad Saleh , Thomas Thiery , Jennifer Pan , Nihar Shah , Barnabé Monnot
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