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We study the perfect information Nash equilibrium between a broker and her clients -- an informed trader and an uniformed trader. In our model, the broker trades in the lit exchange where trades have instantaneous and transient price impact…

Trading and Market Microstructure · Quantitative Finance 2025-07-23 Álvaro Cartea , Sebastian Jaimungal , Leandro Sánchez-Betancourt

We study partial information Nash equilibrium between a broker and an informed trader. In this setting, the informed trader, who possesses knowledge of a trading signal, trades multiple assets with the broker in a dealer market.…

Mathematical Finance · Quantitative Finance 2025-04-03 Xuchen Wu , Sebastian Jaimungal

Traders in a market typically have widely different, private information on the return of an asset. The equilibrium price of the asset may reflect this information more accurately if the number of traders is large enough compared to the…

Statistical Mechanics · Physics 2019-08-17 Johannes Berg , Matteo Marsili , Aldo Rustichini , Riccardo Zecchina

We present a new discrete time version of Kyle's (1985) classic model of insider trading, formulated as a generalised extensive form game. The model has three kinds of traders: an insider, random noise traders, and a market maker. The…

Trading and Market Microstructure · Quantitative Finance 2024-11-19 Christoph Kühn , Christopher Lorenz

We generalize the seminal framework of Kyle (1985) to a many-asset setting, bridging the gap between informed-trading theory and modern trading practices. Specifically, we formulate an infinite-dimensional Bayesian trading game in which the…

Mathematical Finance · Quantitative Finance 2026-03-23 Christian Keller , Michael C. Tseng

This paper presents an equilibrium model of dynamic trading, learning, and pricing by strategic investors with trading targets and price impact. Since trading targets are private, rebalancers and liquidity providers filter the child order…

Trading and Market Microstructure · Quantitative Finance 2021-08-09 Xiao Chen , Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

We study the continuous time Kyle-Back model with a risk averse informed trader.We show that in a market with multiple assets and non-Gaussian prices an equilibrium exists. The equilibrium is constructed by considering a Fokker-Planck…

Probability · Mathematics 2021-11-04 Shreya Bose , Ibrahim Ekren

The Kyle model describes how an equilibrium of order sizes and security prices naturally arises between a trader with insider information and the price providing market maker as they interact through a series of auctions. Ever since being…

Computational Finance · Quantitative Finance 2020-06-25 Paul Friedrich , Josef Teichmann

This paper studies the equilibrium pricing of asset shares in the presence of dynamic private information. The market consists of a risk-neutral informed agent who observes the firm value, noise traders, and competitive market makers who…

Mathematical Finance · Quantitative Finance 2016-07-04 Albina Danilova

We consider a market of risky financial assets whose participants are an informed trader, a representative uninformed trader, and noisy liquidity providers. We prove the existence of a market-clearing equilibrium when the insider…

Trading and Market Microstructure · Quantitative Finance 2025-04-02 Michail Anthropelos , Scott Robertson

The continuous-time version of Kyle's (1985) model is studied, in which market makers are not fiduciaries. They have some market power which they utilize to set the price to their advantage, resulting in positive expected profits. This has…

Trading and Market Microstructure · Quantitative Finance 2019-08-26 Knut Aase , Bernt Øksendal

This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

Mathematical Finance · Quantitative Finance 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

In this paper, we investigate the seeking of Nash equilibrium (NE) in a non-cooperative quadratic game where all agents exchange their delayed strategy information with their neighbors. To extend best-response algorithms to the delayed…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Kaichen Jiang , Yuyue Yan , Mingda Yue , Yuhu Wu

We consider a trader who aims to liquidate a large position in the presence of an arbitrageur who hopes to profit from the trader's activity. The arbitrageur is uncertain about the trader's position and learns from observed price…

Optimization and Control · Mathematics 2009-03-11 Ciamac C. Moallemi , Beomsoo Park , Benjamin Van Roy

The present paper investigates how insiders strategically navigate ongoing legal risk while leveraging stealth trading within a continuous-time Kyle-type framework. Legal enforcement operates concurrently with trading, which dynamic can be…

General Economics · Economics 2026-05-28 Bixing Qiao , Weixuan Xia

We investigate a Kyle model under Gaussian assumptions where a risk-averse informed trader has imperfect information on the fundamental price of an asset. We show that an equilibrium can be constructed by considering an optimal transport…

Trading and Market Microstructure · Quantitative Finance 2025-01-29 Reda Chhaibi , Ibrahim Ekren , Eunjung Noh

This paper examines strategic trading under incomplete information, where firms lack full knowledge of key aspects of their competitors' trading strategies such as target sizes and market impact models. We extend previous work on…

Trading and Market Microstructure · Quantitative Finance 2025-03-25 Neil A. Chriss

In this work, we study the system of interacting non-cooperative two Q-learning agents, where one agent has the privilege of observing the other's actions. We show that this information asymmetry can lead to a stable outcome of population…

Machine Learning · Computer Science 2021-01-26 Ezra Tampubolon , Haris Ceribasic , Holger Boche

Social-media platforms are one of the most prevalent communication media today. In such systems, a large amount of content is generated and available to the platform. However, not all content can be transmitted to every possible user at all…

Computer Science and Game Theory · Computer Science 2024-10-02 Marcos M. Vasconcelos , Odilon Câmara

In this paper, we study the Nash dynamics of strategic interplays of n buyers in a matching market setup by a seller, the market maker. Taking the standard market equilibrium approach, upon receiving submitted bid vectors from the buyers,…

Computer Science and Game Theory · Computer Science 2011-03-23 Ning Chen , Xiaotie Deng
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