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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…

交易与市场微观结构 · 定量金融 2018-09-21 Sylvain Carré , Pierre Collin-Dufresne , Franck Gabriel

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…

综合经济学 · 经济学 2026-05-28 Bixing Qiao , Weixuan Xia

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…

交易与市场微观结构 · 定量金融 2024-11-19 Christoph Kühn , Christopher Lorenz

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…

数理金融 · 定量金融 2019-01-08 Ben-zhang Yang , Xinjiang He , Nan-jing Huang

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…

最优化与控制 · 数学 2025-06-17 Bixing Qiao , Jianfeng Zhang

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…

概率论 · 数学 2022-10-28 Shreya Bose , Ibrahim Ekren

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…

交易与市场微观结构 · 定量金融 2019-08-26 Knut Aase , Bernt Øksendal

In this paper we study the Kyle-Back strategic insider trading equilibrium model in which the insider has an instantaneous information on an asset, assumed to follow an Ornstein-Uhlenback-type dynamics that allows possible influence by the…

概率论 · 数学 2017-11-10 Jin Ma , Rentao Sun , Yonghui Zhou

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…

交易与市场微观结构 · 定量金融 2010-12-13 Fuzhou Gong , Deqing Zhou

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…

综合经济学 · 经济学 2025-12-09 Jin Ma , Weixuan Xia , Jianfeng Zhang

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…

概率论 · 数学 2022-04-29 Jin Ma , Ying Tan

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…

交易与市场微观结构 · 定量金融 2021-03-09 Charles-Albert Lehalle , Eyal Neuman , Segev Shlomov

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…

数理金融 · 定量金融 2022-06-17 Jin Hyuk Choi , Heeyoung Kwon , Kasper Larsen

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…

交易与市场微观结构 · 定量金融 2022-04-26 Ibrahim Ekren , Brad Mostowski , Gordan Žitković

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…

数理金融 · 定量金融 2026-03-23 Christian Keller , Michael C. Tseng

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…

交易与市场微观结构 · 定量金融 2011-03-07 Fuzhou Gong , Hong Liu

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…

数理金融 · 定量金融 2025-12-05 Albina Danilova , Valentin Lizhdvoy

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…

概率论 · 数学 2021-11-04 Shreya Bose , Ibrahim Ekren

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,…

交易与市场微观结构 · 定量金融 2020-07-29 Weston Barger , Ryan Donnelly

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…

计算金融 · 定量金融 2020-06-25 Paul Friedrich , Josef Teichmann
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