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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

This paper considers a continuous time Kyle-Back model which is a game problem between an insider and a market marker. The existing literature typically focuses on the existence of equilibrium by using the PDE approach, which requires…

Optimization and Control · Mathematics 2025-06-17 Bixing Qiao , Jianfeng Zhang

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 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

Kyle (1985) builds a pioneering and influential model, in which an insider with long-lived private information submits an optimal order in each period given the market maker's pricing rule. An inconsistency exists to some extent in the…

Trading and Market Microstructure · Quantitative Finance 2010-12-13 Fuzhou Gong , Deqing Zhou

This paper studies a Kyle-Back model with a risk-averse insider possessing exponential utility and a dynamic stochastic signal about the asset's terminal fundamental value. While the existing literature considers either risk-neutral…

Mathematical Finance · Quantitative Finance 2025-12-05 Albina Danilova , Valentin Lizhdvoy

The folk result in Kyle-Back models states that the value function of the insider remains unchanged when her admissible strategies are restricted to absolutely continuous ones. In this paper we show that, for a large class of pricing rules…

Trading and Market Microstructure · Quantitative Finance 2021-08-23 Umut Çetin , Albina Danilova

Kyle model in continuous time where the insider may be subject to legal penalties is considered. In equilibrium the insider internalises this legal risk by trading less aggressively. The equilibrium is characterised via the solution of a…

Probability · Mathematics 2023-11-22 Umut Çetin

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 consider a Kyle-type model where insider trading takes place among a potentially large population of liquidity traders and is subject to legal penalties. Insiders exploit the liquidity provided by the trading masses to "camouflage" their…

General Economics · Economics 2025-12-09 Jin Ma , Weixuan Xia , Jianfeng Zhang

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

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

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

We consider an auction type equilibrium model with an insider in line with the one originally introduced by Kyle in 1985 and then extended to the continuous time setting by Back in 1992. The novelty introduced with this paper is that we…

Trading and Market Microstructure · Quantitative Finance 2025-10-09 José M. Corcuera , Giulia Di Nunno

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

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

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

In this paper, we present a multi-period trading model in the style of Kyle (1985)'s inside trading model, by assuming that there are at least two insiders in the market with long-lived private information, under the requirement that each…

Trading and Market Microstructure · Quantitative Finance 2011-03-07 Fuzhou Gong , Hong Liu

We solve a generalized Kyle model type problem using Monge-Kantorovich duality and backward stochastic partial differential equations. First, we show that the the generalized Kyle model with dynamic information can be recast into a terminal…

Probability · Mathematics 2022-11-01 Reda Chhaibi , Ibrahim Ekren , Eunjung Noh , Lu Vy

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
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