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A solution to a portfolio optimization problem is always conditioned by constraints on the initial capital and the price of the available market assets. If a risk neutral measure is known, then the price of each asset is the discounted…

最优化与控制 · 数学 2025-07-10 Argimiro Arratia , Henryk Gzyl

Interference between treated and untreated units is a source of bias in marketplace experiments. In this paper, we specifically consider pricing interventions, in which a platform seeks to adjust base pricing levels at the marketplace level…

最优化与控制 · 数学 2025-02-27 Arthur Delarue , Kleanthis Karakolios

This paper studies spatiotemporal pricing and fleet management for autonomous mobility-on-demand (AMoD) systems while taking elastic demand into account. We consider a platform that offers ride-hailing services using a fleet of autonomous…

最优化与控制 · 数学 2024-04-02 Zhijie Lai , Sen Li

We consider an exchange who wishes to set suitable make-take fees to attract liquidity on its platform. Using a principal-agent approach, we are able to describe in quasi-explicit form the optimal contract to propose to a market maker. This…

交易与市场微观结构 · 定量金融 2019-11-27 Omar El Euch , Thibaut Mastrolia , Mathieu Rosenbaum , Nizar Touzi

This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

交易与市场微观结构 · 定量金融 2020-03-18 Xuefeng Gao , Yunhan Wang

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

交易与市场微观结构 · 定量金融 2015-01-13 Qinghua Li

We propose a decentralized market model in which agents can negotiate bilateral contracts. This builds on a similar, but centralized, model of trading networks introduced by Hatfield et al. in 2013. Prior work has established that…

计算机科学与博弈论 · 计算机科学 2025-01-29 Edwin Lock , Benjamin Patrick Evans , Eleonora Kreacic , Sujay Bhatt , Alec Koppel , Sumitra Ganesh , Paul W. Goldberg

We consider a market where a finite number of players trade an asset whose supply is a stochastic process. The price formation problem consists of finding a price process that ensures that when agents act optimally to minimize their trading…

偏微分方程分析 · 数学 2022-08-15 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

We consider the issue of a market maker acting at the same time in the lit and dark pools of an exchange. The exchange wishes to establish a suitable make-take fees policy to attract transactions on its venues. We first solve the stochastic…

数理金融 · 定量金融 2019-12-04 Bastien Baldacci , Iuliia Manziuk , Thibaut Mastrolia , Mathieu Rosenbaum

Automated market makers (AMMs) quote prices from pool state rather than from a limit order book. AMM pools often stay close to a reference price because arbitrageurs correct profitable mispricing. A large part of decentralized finance…

计算工程、金融与科学 · 计算机科学 2026-05-08 Peihao Li , Nadia Dahmani , Wenqi Cai

Financial regulators have long-standing concerns about fully decentralized exchanges that run 'on-chain' without any obvious regulatory hooks. The popularity of Uniswap, an automated market makers (AMM), made these concerns a reality. AMMs…

密码学与安全 · 计算机科学 2021-10-07 Mahsa Moosavi , Jeremy Clark

Efforts to utilize 100% renewable energy in community microgrids require new approaches to energy markets and transactions to efficiently address periods of scarce energy supply. In this paper we contribute to the promising approach of…

最优化与控制 · 数学 2021-12-23 Jonathan Lee , Rodrigo Henriquez-Auba , Bala Kameshwar Poolla , Duncan S. Callaway

Decentralized Exchanges (DEXs) are now a significant component of the financial world where billions of dollars are traded daily. Differently from traditional markets, which are typically based on Limit Order Books, DEXs typically work as…

交易与市场微观结构 · 定量金融 2025-10-28 Daniele Maria Di Nosse , Federico Gatta , Fabrizio Lillo , Sebastian Jaimungal

This paper introduces a model for coordinating prosumers with heterogeneous distributed energy resources (DERs), participating in the local energy market (LEM) that interacts with the market-clearing entity. The proposed LEM scheme utilizes…

We propose a mathematically rigorous framework for identifying and completing Coincidence of Wants (CoW) cycles in decentralized exchange (DEX) aggregators. Unlike existing auction based systems such as CoWSwap, our approach introduces an…

计算机科学与博弈论 · 计算机科学 2025-07-15 Abhimanyu Nag , Madhur Prabhakar , Tanuj Behl

Three traits of decentralized finance are studied. First, the market impact function is derived for optimal-growth liquidity providers. For a standard random walk, the classic square-root impact is recovered. An extension is then derived to…

投资组合管理 · 定量金融 2026-01-19 B. K. Meister

The standard approach for compensating liquidity providers on many decentralized exchanges (DEX) for serving as counter-party to swaps is through charging a small percentage of fees. The expected payoff from the cash flow of this mode of…

数理金融 · 定量金融 2022-09-07 Jin Hong Kuan

We present a formal framework for the aggregation of financial markets mediated by arbitrage. Our main tool is to characterize markets via utility functions and to employ a one-to-one correspondence to limit order book states. Inspired by…

数理金融 · 定量金融 2024-09-10 Georg Menz , Moritz Voß

Prediction markets have gained adoption as on-chain mechanisms for aggregating information, with platforms such as Polymarket demonstrating demand for stablecoin-denominated markets. However, denominating in non-interest-bearing stablecoins…

交易与市场微观结构 · 定量金融 2025-09-16 Fedor Shabashev

A novel high-frequency market-making approach in discrete time is proposed that admits closed-form solutions. By taking advantage of demand functions that are linear in the quoted bid and ask spreads with random coefficients, we model the…

交易与市场微观结构 · 定量金融 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang