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Related papers: Trading constraints in continuous-time Kyle models

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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

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

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

The continuous time model of dynamic asset trading is the central model of modern finance. Because trading cannot in fact take place at every moment of time, it would seem desirable to show that the continuous time model can be viewed as…

Theoretical Economics · Economics 2022-07-08 William R. Zame

In this paper, it is shown that a simple formulation of Economic Model Predictive Control can be used which possesses two features that are generally viewed as mutually exclusive, namely, a rather short prediction horizon…

Systems and Control · Electrical Eng. & Systems 2020-11-23 Mazen Alamir , Gabriele Pannochia

The Markowitz problem consists of finding in a financial market a self-financing trading strategy whose final wealth has maximal mean and minimal variance. We study this in continuous time in a general semimartingale model and under cone…

Portfolio Management · Quantitative Finance 2012-06-04 Christoph Czichowsky , Martin Schweizer

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 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

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

We establish connections between optimal transport theory and the dynamic version of the Kyle model, including new characterizations of informed trading profits via conjugate duality and Monge-Kantorovich duality. We use these connections…

Trading and Market Microstructure · Quantitative Finance 2021-08-13 Kerry Back , Francois Cocquemas , Ibrahim Ekren , Abraham Lioui

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 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 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

For an infinite-horizon continuous-time optimal stopping problem under non-exponential discounting, we look for an optimal equilibrium, which generates larger values than any other equilibrium does on the entire state space. When the…

Optimization and Control · Mathematics 2021-07-15 Yu-Jui Huang , Zhou Zhou

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

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 present a simple dynamic equilibrium model for an online exchange where both buyers and sellers arrive according to a exogenously defined stochastic process. The structure of this exchange is motivated by the limit order book mechanism…

Computer Science and Game Theory · Computer Science 2008-12-02 Garud Iyengar , Anuj Kumar

This paper considers time-inconsistent problems when control and stopping strategies are required to be made simultaneously (called stopping control problems by us). We first formulate the timeinconsistent stopping control problems under…

Optimization and Control · Mathematics 2023-06-21 Zongxia Liang , Fengyi Yuan

We propose a static equilibrium model for limit order book where profit-maximizing investors receive an information signal regarding the liquidation value of the asset and execute via a competitive dealer with random initial inventory, who…

Trading and Market Microstructure · Quantitative Finance 2020-03-11 Umut Çetin , Henri Waelbroeck

We obtain an exact necessary and sufficient condition for the existence and uniqueness of equilibrium asset prices in infinite horizon, discrete-time, arbitrage free environments. Through several applications we show how the condition…

General Finance · Quantitative Finance 2021-03-01 Jaroslav Borovicka , John Stachurski