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We present a large-scale study of commonality in liquidity and resilience across assets in an ultra high-frequency (millisecond-timestamped) Limit Order Book (LOB) dataset from a pan-European electronic equity trading facility. We first…

Statistical Finance · Quantitative Finance 2014-06-23 Efstathios Panayi , Gareth Peters , Ioannis Kosmidis

In peer-to-peer (P2P) energy trading, a secured infrastructure is required to manage trade and record monetary transactions. A central server/authority can be used for this. But there is a risk of central authority influencing the energy…

Computer Science and Game Theory · Computer Science 2022-09-19 Nitin Singha , V Shreyas , Sandeep Kumar

In this paper, we analyze traders' behavior within both centralized exchanges (CEXs) and decentralized exchanges (DEXs), focusing on the volatility of Bitcoin prices and the trading activity of investors engaged in perpetual future…

Trading and Market Microstructure · Quantitative Finance 2024-04-26 Erdong Chen , Mengzhong Ma , Zixin Nie

Automated Market Makers (AMMs) are essential in Decentralized Finance (DeFi) as they match liquidity supply with demand. They function through liquidity providers (LPs) who deposit assets into liquidity pools. However, the asset trading…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Viraj Nadkarni , Sanjeev Kulkarni , Pramod Viswanath

Cross-entropy loss is the standard metric used to train classification models in deep learning and gradient boosting. It is well-known that this loss function fails to account for similarities between the different values of the target. We…

Machine Learning · Statistics 2022-06-16 Brian Lucena

We study the problem of optimal liquidity withdrawal for a representative liquidity provider (LP) in an automated market maker (AMM). LPs earn fees from trading activity but are exposed to impermanent loss (IL) due to price fluctuations.…

Trading and Market Microstructure · Quantitative Finance 2025-10-21 Philippe Bergault , Sébastien Bieber , Leandro Sánchez-Betancourt

The rapid expansion of the non-fungible token (NFT) market has catalyzed new opportunities for artists, collectors, and investors, yet it has also unveiled critical challenges related to the storage and distribution of associated metadata.…

Cryptography and Security · Computer Science 2024-08-27 Hamza Salem , Manuel Mazzara

We investigate the problem of pricing and hedging derivatives of Electricity Futures contract when the underlying asset is not available. We propose to use a cross hedging strategy based on the Futures contract covering the larger delivery…

Pricing of Securities · Quantitative Finance 2014-02-03 Adrien Nguyen Huu , Nadia Oudjane

Entropy based ideas find wide-ranging applications in finance for calibrating models of portfolio risk as well as options pricing. The abstracted problem, extensively studied in the literature, corresponds to finding a probability measure…

Statistical Finance · Quantitative Finance 2014-11-04 Santanu Dey , Sandeep Juneja , Karthyek R. A. Murthy

We consider a generalization of the recursive utility model by adding a new component that represents utility of investment gains and losses. We also study the utility process in this generalized model with constant elasticity of…

General Finance · Quantitative Finance 2021-07-13 Jing Guo , Xue Dong He

PinFi is a class of novel protocols for decentralized pricing of dissipative assets, whose value naturally declines over time. Central to the protocol's functionality and its market efficiency is the role of liquidity providers (LPs). This…

Computer Science and Game Theory · Computer Science 2025-11-18 Qi He , Yunwei Mao , Ju Li

Layer-2 (L2) blockchains inherit Ethereums security guarantees while reducing gas fees. As a result, they are gaining traction among traders at Automated Market Makers (AMMs), sparking debate over whether they contribute to liquidity…

Computational Engineering, Finance, and Science · Computer Science 2025-03-14 Krzysztof Gogol , Manvir Schneider , Claudio Tessone , Benjamin Livshits

We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader-follower…

Trading and Market Microstructure · Quantitative Finance 2025-03-31 Alif Aqsha , Philippe Bergault , Leandro Sánchez-Betancourt

This paper studies proportional risk sharing at claim occurrence time in community-based insurance. Each participant is modeled by an individual Cram\'er-Lundberg surplus process, and, whenever a claim is reported within the pool, its cost…

Probability · Mathematics 2026-04-01 Michel Denuit , José Miguel Flores-Contró , Christian Y. Robert

This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept…

Optimization and Control · Mathematics 2020-04-08 Mario Eduardo Villanueva , Elena De Lazzari , Matthias Müller , Boris Houska

Automated Market Makers (AMMs) are essential to decentralized finance, offering continuous liquidity and enabling intermediary-free trading on blockchains. However, participants in AMMs are vulnerable to Maximal Extractable Value (MEV)…

Computer Science and Game Theory · Computer Science 2024-10-25 Mengqian Zhang , Sen Yang , Fan Zhang

We assess the market risk of the DeFi lending protocols using a multi-asset agent-based model to simulate ensembles of users subject to price-driven liquidation risk. Our multi-asset methodology shows that the protocol's systemic risk is…

General Economics · Economics 2022-12-15 Amit Chaudhary , Daniele Pinna

As an integral part of the decentralized finance (DeFi) ecosystem, decentralized exchanges (DEXs) with automated market maker (AMM) protocols have gained massive traction with the recently revived interest in blockchain and distributed…

Trading and Market Microstructure · Quantitative Finance 2023-03-16 Jiahua Xu , Krzysztof Paruch , Simon Cousaert , Yebo Feng

Decentralized exchanges (DEXes) have evolved dramatically since the introduction of Automated Market Makers (AMMs). In recent years, solver-based protocols have emerged as an alternative venue aiming to introduce competition for routing,…

Computational Engineering, Finance, and Science · Computer Science 2025-05-08 Yuki Yuminaga , Dex Chen , Danning Sui

We study Pareto optimality in a decentralized peer-to-peer risk-sharing market where agents' preferences are represented by robust distortion risk measures that are not necessarily convex. We obtain a characterization of Pareto-optimal…

Risk Management · Quantitative Finance 2025-10-08 Mario Ghossoub , Michael B. Zhu , Wing Fung Chong