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In this paper, the Kyle model of insider trading is extended by characterizing the trading volume with long memory and allowing the noise trading volatility to follow a general stochastic process. Under this newly revised model, the…

Mathematical Finance · Quantitative Finance 2019-01-08 Ben-zhang Yang , Xinjiang He , Nan-jing Huang

This paper focuses on some simple models of limit order book dynamics which simulate market trading mechanisms. We start with a discrete time/space Markov process and then perform a re-scaling procedure leading to a deterministic dynamical…

Probability · Mathematics 2011-02-08 N Vvedenskaya , Y Suhov , V Belitsky

We study a dynamic asset pricing problem in which a representative agent is ambiguous about the aggregate endowment growth rate and trades a risky stock, human capital, and a risk-free asset to maximize her preference value of consumption…

Pricing of Securities · Quantitative Finance 2025-12-04 Jiacheng Fan , Xue Dong He , Ruocheng Wu

We present a mathematical model of a market with $m$ shares traded across $n$ investor groups, each one with similar motivations and trading strategies. The market of each asset consists of a fixed amount of cash and shares (no additions…

Dynamical Systems · Mathematics 2026-04-17 Mario Cavani

We build a profitable electronic trading agent with Reinforcement Learning that places buy and sell orders in the stock market. An environment model is built only with historical observational data, and the RL agent learns the trading…

Artificial Intelligence · Computer Science 2019-10-10 Haoran Wei , Yuanbo Wang , Lidia Mangu , Keith Decker

Personalized pricing, which involves tailoring prices based on individual characteristics, is commonly used by firms to implement a consumer-specific pricing policy. In this process, buyers can also strategically manipulate their feature…

Machine Learning · Statistics 2024-06-27 Pangpang Liu , Zhuoran Yang , Zhaoran Wang , Will Wei Sun

This work is dedicated to the algorithm design in a competitive framework, with the primary goal of learning a stable equilibrium. We consider the dynamic price competition between two firms operating within an opaque marketplace, where…

Computer Science and Game Theory · Computer Science 2023-05-30 Mengzi Amy Guo , Donghao Ying , Javad Lavaei , Zuo-Jun Max Shen

The large integration of variable energy resources is expected to shift a large part of the energy exchanges closer to real-time, where more accurate forecasts are available. In this context, the short-term electricity markets and in…

Trading and Market Microstructure · Quantitative Finance 2020-04-14 Ioannis Boukas , Damien Ernst , Thibaut Théate , Adrien Bolland , Alexandre Huynen , Martin Buchwald , Christelle Wynants , Bertrand Cornélusse

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

This paper examines whether one can learn to play an optimal action while only knowing part of true specification of the environment. We choose the optimal pricing problem as our laboratory, where the monopolist is endowed with an…

Theoretical Economics · Economics 2022-07-22 In-Koo Cho , Jonathan Libgober

Internet market makers are always facing intense competitive environment, where personalized price reductions or discounted coupons are provided for attracting more customers. Participants in such a price war scenario have to invest a lot…

Artificial Intelligence · Computer Science 2018-08-24 Chenchen Li , Xiang Yan , Xiaotie Deng , Yuan Qi , Wei Chu , Le Song , Junlong Qiao , Jianshan He , Junwu Xiong

Modeling the impact of the order flow on asset prices is of primary importance to understand the behavior of financial markets. Part I of this paper reported the remarkable improvements in the description of the price dynamics which can be…

Trading and Market Microstructure · Quantitative Finance 2016-04-27 Damian Eduardo Taranto , Giacomo Bormetti , Jean-Philippe Bouchaud , Fabrizio Lillo , Bence Toth

Market-based coordination of demand side assets has gained great interests in recent years. In spite of its efficiency, there is a risk that the interaction between the dynamic assets through the price signal could result in an unstable…

Optimization and Control · Mathematics 2017-04-04 Lin Zhao , Wei Zhang

We study one-shot Nash competition between an arbitrary number of identical dealers that compete for the order flow of a client. The client trades either because of proprietary information, exposure to idiosyncratic risk, or a mix of both…

Trading and Market Microstructure · Quantitative Finance 2021-07-27 Martin Herdegen , Johannes Muhle-Karbe , Florian Stebegg

In financial applications, latency advantages -- the ability to make decisions later than others, even without the ability to see what others have done -- can provide individual participants with an edge by allowing them to gather…

Theoretical Economics · Economics 2026-05-07 Ciamac C. Moallemi , Mallesh M. Pai , Dan Robinson

We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existence of a limiting distribution for the highest bid, and for…

Trading and Market Microstructure · Quantitative Finance 2017-03-24 Frank Kelly , Elena Yudovina

We study the optimal pricing strategy of a monopolist selling homogeneous goods to customers over multiple periods. The customers choose their time of purchase to maximize their payoff that depends on their valuation of the product, the…

Computer Science and Game Theory · Computer Science 2018-06-28 Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

The problem of market clearing is to set a price for an item such that quantity demanded equals quantity supplied. In this work, we cast the problem of predicting clearing prices into a learning framework and use the resulting models to…

Machine Learning · Computer Science 2019-06-25 Weiran Shen , Sébastien Lahaie , Renato Paes Leme

In this paper we introduce a completely continuous and time-variate model of the evolution of market limit orders based on the existence, uniqueness, and regularity of the solutions to a type of stochastic partial differential equations…

Trading and Market Microstructure · Quantitative Finance 2012-10-29 Zhi Zheng , Richard B. Sowers

We introduce the Estimated Dynamic Equilibrium Model (EDEM), an agent-based framework that treats supply and demand as a coupled stochastic process driven by heterogeneous, noisy agent valuations. The model's primary technical contribution…

Multiagent Systems · Computer Science 2026-05-18 Mikhail L. Arbuzov , Sisong Bei , Alexey Shvets