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We compare the predictions of the stationary Kyle model, a microfounded multi-step linear price impact model in which market prices forecast fundamentals through information encoded in the order flow, with those of the propagator model, a…

Trading and Market Microstructure · Quantitative Finance 2021-12-10 Michele Vodret , Iacopo Mastromatteo , Bence Tóth , Michael Benzaquen

We construct an equilibrium for the continuous time Kyle's model with stochastic liquidity, a general distribution of the fundamental price, and correlated stock and volatility dynamics. For distributions with positive support, our…

Trading and Market Microstructure · Quantitative Finance 2022-04-26 Ibrahim Ekren , Brad Mostowski , Gordan Žitković

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

We relax the strong rationality assumption for the agents in the paradigmatic Kyle model of price formation, thereby reconciling the framework of asymmetrically informed traders with the Adaptive Market Hypothesis, where agents use…

Trading and Market Microstructure · Quantitative Finance 2022-06-15 Michele Vodret , Iacopo Mastromatteo , Bence Toth , Michael Benzaquen

We show that the problem of existence of equilibrium in Kyle's continuous time insider trading model can be tackled by considering a forward-backward system coupled via an optimal transport type constraint at maturity. The forward component…

Probability · Mathematics 2022-10-28 Shreya Bose , Ibrahim Ekren

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

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

In a continuous-time Kyle setting, we prove global existence of an equilibrium when the insider faces a terminal trading constraint. We prove that our equilibrium model produces output consistent with several empirical stylized facts such…

Mathematical Finance · Quantitative Finance 2022-06-17 Jin Hyuk Choi , Heeyoung Kwon , Kasper Larsen

In this paper we consider a class of generalized Kyle-Back strategic insider trading models in which the insider is able to use the dynamic information obtained by observing the instantaneous movement of an underlying asset that is allowed…

Probability · Mathematics 2022-04-29 Jin Ma , Ying Tan

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

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

We propose a minimal theory of non-linear price impact based on a linear (latent) order book approximation, inspired by diffusion-reaction models and general arguments. Our framework allows one to compute the average price trajectory in the…

Trading and Market Microstructure · Quantitative Finance 2015-03-03 Jonathan Donier , Julius Bonart , Iacopo Mastromatteo , Jean-Philippe Bouchaud

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

Prediction markets are a popular, prominent, and successful structure for a collective intelligence platform. However the exact mechanism by which information known to the participating traders is incorporated into the market price is…

We consider a stochastic game between three types of players: an inside trader, noise traders and a market maker. In a similar fashion to Kyle's model, we assume that the insider first chooses the size of her market-order and then the…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Charles-Albert Lehalle , Eyal Neuman , Segev Shlomov

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

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

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 consider piecewise linear discrete time macroeconomic models, which possess a continuum of equilibrium states. These systems are obtained by replacing rational inflation expectations with a boundedly rational, and genuinely sticky,…

Dynamical Systems · Mathematics 2017-11-22 Pavel Krejci , Harbir Lamba , Dmitrii Rachinskii

We study an information acquisition problem in which an informed trader acquires costly information prior to trading in the Kyle equilibrium. The cost of information acquisition is represented by an entropy cost. Regardless of the prior…

Theoretical Economics · Economics 2026-03-24 S. Viswanathan , Hao Xing
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