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The random values and volumes of consecutive trades made at the exchange with shares of security determine its mean, variance, and higher statistical moments. The volume weighted average price (VWAP) is the simplest example of such a…

General Economics · Economics 2026-01-21 Victor Olkhov

We explore the effects of social influence in a simple market model in which a large number of agents face a binary choice: 'to buy/not to buy' a single unit of a product at a price posted by a single seller (the monopoly case). We consider…

Disordered Systems and Neural Networks · Physics 2008-12-02 Jean-Pierre Nadal , Denis Phan , Mirta B. Gordon , Jean Vannimenus

An agent-based model (ABM) for simulating flood-pedestrian interaction is augmented to particularly explore more realistic responses of evacuating pedestrians during flooding. Pedestrian agents within the ABM follow navigation rules of…

Physics and Society · Physics 2020-06-16 Mohammad Shirvani , Georges Kesserwani , Paul Richmond

Recently, most stock exchanges in the U.S. employ maker-taker fees, in which an exchange pays rebates to traders placing orders in the order book and charges fees to traders taking orders from the order book. Maker-taker fees encourage…

Trading and Market Microstructure · Quantitative Finance 2020-10-20 Isao Yagi , Mahiro Hoshino , Takanobu Mizuta

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

Decentralized exchanges are widely used platforms for trading crypto assets. The most common types work with automated market makers (AMM), allowing traders to exchange assets without needing to find matching counterparties. Thereby,…

General Economics · Economics 2024-02-12 Matthias Hafner , Helmut Dietl

We study an agent-based stock market model with heterogeneous agents and friction. Our model is based on that of Foellmer-Schweizer(1993): The process of a stock price in a discrete-time framework is determined by temporary equilibria via…

Probability · Mathematics 2013-01-29 Takashi Kato

We study a multi-agent setting in which brokers transact with an informed trader. Through a sequential Stackelberg-type game, brokers manage trading costs and adverse selection with an informed trader. In particular, supplying liquidity to…

Trading and Market Microstructure · Quantitative Finance 2025-11-13 Ryan Donnelly , Zi Li

In the present work we develop a formalism to tackle the problem of optimal execution when trading market securities. More precisely, we introduce a utility function that balances market impact and timing risk, with this last being modelled…

Trading and Market Microstructure · Quantitative Finance 2020-07-17 David Marcos

We study asset price bubbles in market models with proportional transaction costs $\lambda\in (0,1)$ and finite time horizon $T$ in the setting of [49]. By following [28], we define the fundamental value $F$ of a risky asset $S$ as the…

Mathematical Finance · Quantitative Finance 2020-12-09 Francesca Biagini , Thomas Reitsam

Agent-based models help explain stock price dynamics as emergent phenomena driven by interacting investors. In this modeling tradition, investor behavior has typically been captured by two distinct mechanisms -- learning and heterogeneous…

Computers and Society · Computer Science 2025-11-12 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

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…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang

In this paper we study the price dynamics in a simple model of financial markets with heterogeneous agents. We concentrate on how increases in the total number of active traders influences fluctuations of asset prices. We find that a…

Chaotic Dynamics · Physics 2015-06-26 Taisei Kaizoji

The practice of valuation by marking-to-market with current trading prices is seriously flawed. Under leverage the problem is particularly dramatic: due to the concave form of market impact, selling always initially causes the expected…

General Finance · Quantitative Finance 2012-08-28 Fabio Caccioli , Jean-Philippe Bouchaud , J. Doyne Farmer

In order to protect brokers from customer defaults in a volatile market, an active margin system is proposed for the transactions of margin lending in China. The probability of negative return under the condition that collaterals are…

Risk Management · Quantitative Finance 2011-01-21 Guanghui Huang , Jianping Wan , Cheng Chen

It is known that the impact of transactions on stock price (market impact) is a concave function of the size of the order, but there exists little quantitative theory that suggests why this is so. I develop a quantitative theory for the…

Statistical Finance · Quantitative Finance 2008-12-02 Austin Gerig

Market participants regularly send bid and ask quotes to exchange-operated limit order books. This creates an optimization challenge where their potential profit is determined by their quoted price and how often their orders are…

Mathematical Finance · Quantitative Finance 2025-04-16 Chutian Ma , Giacinto Paolo Saggese , Paul Smith

This paper presents a new financial market simulator that may be used as a tool in both industry and academia for research in market microstructure. It allows multiple automated traders and/or researchers to simultaneously connect to an…

Trading and Market Microstructure · Quantitative Finance 2020-08-31 Thiago W. Alves , Ionut Florescu , George Calhoun , Dragos Bozdog

Agent-Based Models (ABM) are computational scenario-generators, which can be used to predict the possible future outcomes of the complex system they represent. To better understand the robustness of these predictions, it is necessary to…

General Economics · Economics 2022-08-08 Karl Naumann-Woleske , Max Sina Knicker , Michael Benzaquen , Jean-Philippe Bouchaud

The design of agent-based models (ABMs) is often ad-hoc when it comes to defining their scope. In order for the inclusion of features such as network structure, location, or dynamic change to be justified, their role in a model should be…

Multiagent Systems · Computer Science 2017-12-29 Reiko Heckel , Alexander Kurz , Edmund Chattoe-Brown