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Background: For complex financial systems, the negative and positive return-volatility correlations, i.e., the so-called leverage and anti-leverage effects, are particularly important for the understanding of the price dynamics. However,…

Statistical Finance · Quantitative Finance 2014-07-22 Jun-jie Chen , Bo Zheng , Lei Tan

We consider the dynamics and the interactions of multiple reinforcement learning optimal execution trading agents interacting with a reactive Agent-Based Model (ABM) of a financial market in event time. The model represents a market ecology…

Trading and Market Microstructure · Quantitative Finance 2024-08-15 Matthew Dicks , Andrew Paskaramoorthy , Tim Gebbie

We study a multiplicative transient price impact model for an illiquid financial market, where trading causes price impact which is multiplicative in relation to the current price, transient over time with finite rate of resilience, and…

Optimization and Control · Mathematics 2019-06-27 Dirk Becherer , Todor Bilarev , Peter Frentrup

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

Mathematical Finance · Quantitative Finance 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

Automated market makers (AMMs) are a new type of trading venues which are revolutionising the way market participants interact. At present, the majority of AMMs are constant function market makers (CFMMs) where a deterministic trading…

Trading and Market Microstructure · Quantitative Finance 2024-07-25 Marcello Monga

Simulating consumer decision-making is vital for designing and evaluating marketing strategies before costly real-world deployment. However, post-event analyses and rule-based agent-based models (ABMs) struggle to capture the complexity of…

Artificial Intelligence · Computer Science 2025-10-22 Man-Lin Chu , Lucian Terhorst , Kadin Reed , Tom Ni , Weiwei Chen , Rongyu Lin

We investigate whether the fee income from trades on the CFM is sufficient for the liquidity providers to hedge away the exposure to market risk. We first analyse this problem through the lens of continuous-time financial mathematics and…

Mathematical Finance · Quantitative Finance 2023-02-10 Samuel Cohen , Marc Sabaté Vidales , David Šiška , Łukasz Szpruch

In a one-sided limit order book, satisfying some realistic assumptions, where the unaffected price process follows a Levy process, we consider a market agent that wants to liquidate a large position of shares. We assume that the agent has…

Trading and Market Microstructure · Quantitative Finance 2020-11-02 Arne Lokka , Junwei Xu

Agent-based models (ABMs) are fit to model heterogeneous, interacting systems like financial markets. We present the latest advances in Evology: a heterogeneous, empirically calibrated market ecology agent-based model of the US stock…

Multiagent Systems · Computer Science 2023-02-03 Aymeric Vie , J. Doyne Farmer

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

We provide an explicit characterization of the optimal market making strategy in a discrete-time Limit Order Book (LOB). In our model, the number of filled orders during each period depends linearly on the distance between the fundamental…

Trading and Market Microstructure · Quantitative Finance 2021-01-11 Agostino Capponi , José E. Figueroa-López , Chuyi Yu

Agent-based models, particularly those applied to financial markets, demonstrate the ability to produce realistic, simulated system dynamics, comparable to those observed in empirical investigations. Despite this, they remain fairly…

Computational Finance · Quantitative Finance 2017-03-24 Donovan Platt , Tim Gebbie

We study the problem of the execution of a moderate size order in an illiquid market within the framework of a solvable Markovian model. We suppose that in order to avoid impact costs, a trader decides to execute her order through a unique…

Trading and Market Microstructure · Quantitative Finance 2015-06-09 Iacopo Mastromatteo

We propose a price impact model where changes in prices are purely driven by the order flow in the market. The stochastic price impact of market orders and the arrival rates of limit and market orders are functions of the market liquidity…

Trading and Market Microstructure · Quantitative Finance 2024-12-18 Peter Bank , Álvaro Cartea , Laura Körber

In a market with one safe and one risky asset, an investor with a long horizon, constant investment opportunities, and constant relative risk aversion trades with small proportional transaction costs. We derive explicit formulas for the…

Portfolio Management · Quantitative Finance 2013-01-15 Stefan Gerhold , Paolo Guasoni , Johannes Muhle-Karbe , Walter Schachermayer

An agent-based model for financial markets has to incorporate two aspects: decision making and price formation. We introduce a simple decision model and consider its implications in two different pricing schemes. First, we study its…

Trading and Market Microstructure · Quantitative Finance 2015-06-19 Daniel C. Wagner , Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr , Dietrich E. Wolf

This article is part of a comprehensive research project on liquidity risk in asset management, which can be divided into three dimensions. The first dimension covers liability liquidity risk (or funding liquidity) modeling, the second…

Risk Management · Quantitative Finance 2021-05-19 Thierry Roncalli , Amina Cherief , Fatma Karray-Meziou , Margaux Regnault

This paper explores how Large Language Models (LLMs) behave in a classic experimental finance paradigm widely known for eliciting bubbles and crashes in human participants. We adapt an established trading design, where traders buy and sell…

Trading and Market Microstructure · Quantitative Finance 2025-10-14 Thomas Henning , Siddhartha M. Ojha , Ross Spoon , Jiatong Han , Colin F. Camerer

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

We consider a tick-by-tick model of price formation, in which buy and sell orders are modeled as self-exciting point processes (Hawkes process), similar to the one in [Bacry, Delattre, Hoffmann, Muzy, Modelling microstructure noise with…

Mathematical Finance · Quantitative Finance 2026-03-27 Paolo Dai Pra , Paolo Pigato