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We examine the correlation of the limit price with the order book, when a limit order comes. We analyzed the Rebuild Order Book of Stock Exchange Electronic Trading Service, which is the centralized order book market of London Stock…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Jun-ichi Maskawa

We model a delivery platform facilitating transactions among three sides: buyers, stores, and couriers. In addition to buyers paying store-specific purchase prices and couriers receiving store--buyer-specific delivery compensation from the…

Computer Science and Game Theory · Computer Science 2025-07-16 Yannai A. Gonczarowski , Gary Qiurui Ma , David C. Parkes

Beyond its obvious macro-economic relevance, fiat money has important micro-economic implications. They matter for addressing No. 8 in Smale's "Mathematical Problems for the Next Century": extend the mathematical model of general…

Economics · Quantitative Finance 2017-01-19 Gesine A. Steudle , Saini Yang , Carlo C. Jaeger

This paper considers a Markovian model of a limit order book where time-dependent rates are allowed. With the objective of understanding the mechanisms through which a microscopic model of an orderbook can converge to more general diffusion…

Computational Finance · Quantitative Finance 2023-02-03 Jonathan A. Chávez-Casillas

Latent order book models have allowed for significant progress in our understanding of price formation in financial markets. In particular they are able to reproduce a number of stylized facts, such as the square-root impact law. An…

Trading and Market Microstructure · Quantitative Finance 2019-10-02 Lorenzo Dall'Amico , Antoine Fosset , Jean-Philippe Bouchaud , Michael Benzaquen

Commonly used limit order book attributes are empirically considered based on NASDAQ ITCH data. It is shown that some of them have the properties drastically different from the ones assumed in many market dynamics study. Because of this…

Trading and Market Microstructure · Quantitative Finance 2016-03-31 Vladislav Gennadievich Malyshkin , Ray Bakhramov

Global oil price is an important factor in determining many economic variables in the world's economy. It is generally modeled as a stochastic process and have been studied through different techniques by comparing the historic time series…

General Finance · Quantitative Finance 2018-05-31 Sina Aghaei

We study a model of vendors competing to sell a homogeneous product to customers spread evenly along a circular city. This model is based on Hotelling's celebrated paper in 1929. Our aim in this paper is to present a necessary and…

Theoretical Economics · Economics 2019-10-30 Satoshi Hayashi , Naoki Tsuge

We introduce a new model in order to describe the fluctuation of tick-by-tick financial time series. Our model, based on marked point process, allows us to incorporate in a unique process the duration of the transaction and the…

Trading and Market Microstructure · Quantitative Finance 2012-11-21 Alexis Fauth , Ciprian A. Tudor

An informed seller designs a dynamic mechanism to sell an experience good. The seller has partial information about the product match, which affects the buyer's private consumption experience. We characterize equilibrium mechanisms of this…

Theoretical Economics · Economics 2025-06-24 Tan Gan , Nicholas Wu

We build an agent-based model for the order book with three types of market participants: informed trader, noise trader and competitive market makers. Using a Glosten-Milgrom like approach, we are able to deduce the whole limit order book…

Trading and Market Microstructure · Quantitative Finance 2025-04-01 Weibing Huang , Sergio Pulido , Mathieu Rosenbaum , Pamela Saliba , Emmanouil Sfendourakis

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

We present a simple order book mechanism that regulates an artificial financial market with self-organized criticality dynamics and fat tails of returns distribution. The model shows the role played by individual imitation in determining…

Trading and Market Microstructure · Quantitative Finance 2016-02-29 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Machine learning (especially reinforcement learning) methods for trading are increasingly reliant on simulation for agent training and testing. Furthermore, simulation is important for validation of hand-coded trading strategies and for…

Trading and Market Microstructure · Quantitative Finance 2019-12-12 Svitlana Vyetrenko , David Byrd , Nick Petosa , Mahmoud Mahfouz , Danial Dervovic , Manuela Veloso , Tucker Hybinette Balch

We propose a class of Markovian agent based models for the time evolution of a share price in an interactive market. The models rely on a microscopic description of a market of buyers and sellers who change their opinion about the stock…

Other Condensed Matter · Physics 2016-08-31 Anton Bovier , Jiri Cerny , Ostap Hryniv

The dynamics of financial markets are driven by the interactions between participants, as well as the trading mechanisms and regulatory frameworks that govern these interactions. Decision-makers would rather not ignore the impact of other…

Computational Finance · Quantitative Finance 2019-12-02 Mahmoud Mahfouz , Angelos Filos , Cyrine Chtourou , Joshua Lockhart , Samuel Assefa , Manuela Veloso , Danilo Mandic , Tucker Balch

We propose two novel frameworks to study the price formation of an asset negotiated in an order book. Specifically, we develop a game-theoretic model in many-person games and mean-field games, considering costs stemming from limited…

Trading and Market Microstructure · Quantitative Finance 2022-02-24 David Evangelista , Yuri Saporito , Yuri Thamsten

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang

We model the behavior of three agent classes acting dynamically in a limit order book of a financial asset. Namely, we consider market makers (MM), high-frequency trading (HFT) firms, and institutional brokers (IB). Given a prior dynamic of…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Nicolas Baradel , Bruno Bouchard , David Evangelista , Othmane Mounjid

Based on the analog between the stochastic dynamics and quantum harmonic oscillator, we propose a market force driving model to generalize the Black-Scholes model in finance market. We give new schemes of option pricing, in which we can…

Risk Management · Quantitative Finance 2026-01-05 Pengpeng Li , Shi-Dong Liang
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