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Classical Kyle-type models of informed trading typically treat noise trader demand as purely exogenous. In reality, many market participants react to price movements and news, generating feedback effects that can significantly alter market…

Mathematical Finance · Quantitative Finance 2026-01-16 Eunjung Noh

This paper studies the Glosten Milgrom model whose risky asset value admits an arbitrary discrete distribution. Contrast to existing results on insider's models, the insider's optimal strategy in this model, if exists, is not of feedback…

Trading and Market Microstructure · Quantitative Finance 2015-01-21 Cheng Li , Hao Xing

We consider a one-period Kyle (1985) framework where the insider can be subject to a penalty if she trades. We establish existence and uniqueness of equilibrium for virtually any penalty function when noise is uniform. In equilibrium, the…

Trading and Market Microstructure · Quantitative Finance 2018-09-21 Sylvain Carré , Pierre Collin-Dufresne , Franck Gabriel

We reconsider the multivariate Kyle model in a risk-neutral setting with a single, perfectly informed rational insider and a rational competitive market maker, setting the price of n correlated securities. We prove the unicity of a…

Trading and Market Microstructure · Quantitative Finance 2018-12-21 Luis Carlos García del Molino , Iacopo Mastromatteo , Michael Benzaquen , Jean-Philippe Bouchaud

We provide an economically sound micro-foundation to linear price impact models, by deriving them as the equilibrium of a suitable agent-based system. Our setup generalizes the well-known Kyle model, by dropping the assumption of a terminal…

Trading and Market Microstructure · Quantitative Finance 2021-05-26 Michele Vodret , Iacopo Mastromatteo , Bence Tóth , Michael Benzaquen

This paper investigates the equilibrium interactions between trading targets and private information in a multi-period Kyle (1985) market. There are two investors who each follow dynamic trading strategies: A strategic portfolio rebalancer…

Trading and Market Microstructure · Quantitative Finance 2015-09-09 Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

We propose a stochastic game modelling the strategic interaction between market makers and traders of optimal execution type. For traders, the permanent price impact commonly attributed to them is replaced by quoting strategies implemented…

Trading and Market Microstructure · Quantitative Finance 2025-04-10 Ivan Guo , Shijia Jin

We study in detail and explicitly solve the version of Kyle's model introduced in a specific case in \cite{BB}, where the trading horizon is given by an exponentially distributed random time. The first part of the paper is devoted to the…

Mathematical Finance · Quantitative Finance 2017-09-19 Umut Çetin

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 model an informed agent with information about the future value of an asset trying to maximize profits when subjected to a transaction cost as well as a market maker tasked with setting fair transaction prices. In a single auction model,…

Trading and Market Microstructure · Quantitative Finance 2020-07-29 Weston Barger , Ryan Donnelly

This research aims to demonstrate a dynamic cointegration-based pairs trading strategy, including an optimal look-back window framework in the cryptocurrency market, and evaluate its return and risk by applying three different scenarios. We…

Trading and Market Microstructure · Quantitative Finance 2021-09-23 Masood Tadi , Irina Kortchmeski

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

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

This thesis develops equilibrium asset pricing models in incomplete markets with a large number of heterogeneous agents using mean field game theory. The market equilibrium is characterized by a novel form of mean field backward stochastic…

Mathematical Finance · Quantitative Finance 2026-03-24 Masashi Sekine

In a unified framework we study equilibrium in the presence of an insider having information on the signal of the firm value, which is naturally connected to the fundamental price of the firm related asset. The fundamental value itself is…

Pricing of Securities · Quantitative Finance 2018-03-07 José Manuel Corcuera , Giulia Di Nunno , Gergely Farkas , Bernt Øksendal

We study a coupled system of controlled stochastic differential equations (SDEs) driven by a Brownian motion and a compensated Poisson random measure, consisting of a forward SDE in the unknown process $X(t)$ and a \emph{predictive…

Optimization and Control · Mathematics 2015-05-20 Bernt Øksendal , Agnès Sulem

In this research, we have empirically investigated the key drivers affecting liquidity in equity markets. We illustrated how theoretical models, such as Kyle's model, of agents' interplay in the financial markets, are aligned with the…

Computational Finance · Quantitative Finance 2020-04-28 Anastasia Bugaenko

Privacy-preserving cryptocurrency exchanges (shielded AMMs, batched swap auctions, sealed-bid order-flow auctions) alter what the pricing mechanism observes about order flow. We derive the unique linear Kyle equilibrium when a committed…

Computer Science and Game Theory · Computer Science 2026-05-28 Yuki Nakamura

We develop a multi-period Kyle-type model that incorporates both mandatory disclosure of informed trades and imperfect competition among market makers. We prove the existence and uniqueness of a linear equilibrium and show that the…

Trading and Market Microstructure · Quantitative Finance 2026-04-14 Seongjin Kim , Jin Hyuk Choi

We introduce a prototype model in an attempt to capture some aspects of market dynamics simulating a trading mechanism. The model description starts with a discrete-space, continuous-time Markov process describing arrival and movement of…

Trading and Market Microstructure · Quantitative Finance 2013-04-04 N. Vvedenskaya , Y. Suhov , V. Belitsky