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This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

Mathematical Finance · Quantitative Finance 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

We present an empirical study of the intertwined behaviour of members in a financial market. Exploiting a database where the broker that initiates an order book event can be identified, we decompose the correlation and response functions…

Trading and Market Microstructure · Quantitative Finance 2012-05-02 Bence Toth , Zoltan Eisler , Fabrizio Lillo , Julien Kockelkoren , Jean-Philippe Bouchaud , J. Doyne Farmer

Decisions on how to manage future flood risks are frequently informed by both sophisticated and computationally expensive models. This complexity often limits the representation of uncertainties and the consideration of strategies. Here, we…

Atmospheric and Oceanic Physics · Physics 2020-10-26 Robert L. Ceres , Chris E. Forest , Klaus Keller

In this work we study a finite horizon optimal liquidation problem with multiplicative price impact in algorithmic trading, using market orders. We analyze the case when an agent is trading on a market with two financial assets, whose…

Optimization and Control · Mathematics 2020-10-07 Riccardo Cesari , Harry Zheng

In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

Portfolio Management · Quantitative Finance 2015-10-21 Thomas Lim , Marie-Claire Quenez

An informed seller designs a dynamic mechanism to sell an experience good. The seller has partial information about the product match, which affects the buyer's private consumption experience. We characterize equilibrium mechanisms of this…

Theoretical Economics · Economics 2025-06-24 Tan Gan , Nicholas Wu

A small investor provides liquidity at the best bid and ask prices of a limit order market. For small spreads and frequent orders of other market participants, we explicitly determine the investor's optimal policy and welfare. In doing so,…

Trading and Market Microstructure · Quantitative Finance 2015-02-27 Christoph Kühn , Johannes Muhle-Karbe

A monopolist seller of multiple goods screens a buyer whose type is initially unknown to both but drawn from a commonly known distribution. The buyer privately learns about his type via a signal. We derive the seller's optimal mechanism in…

Theoretical Economics · Economics 2021-05-27 Rahul Deb , Anne-Katrin Roesler

In the last decades, control problems with infinite horizons and discount factors have become increasingly central not only for economics but also for applications in artificial intelligence and machine learning. The strong links between…

Optimization and Control · Mathematics 2023-10-25 Vincenzo Basco

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

A monopoly platform sells either a risky product (with unknown utility) or a safe product (with known utility) to agents who sequentially arrive and learn the utility of the risky product by the reporting of previous agents. It is costly…

Theoretical Economics · Economics 2023-12-12 Kaiwei Zhang , Xi Weng , Xienan Cheng

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

This paper presents a novel study on gas-like models for economic systems. The interacting agents and the amount of exchanged money at each trade are selected with different levels of randomness, from a purely random way to a more chaotic…

Adaptation and Self-Organizing Systems · Physics 2009-01-09 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

An attempt to obtain market directional information from non-stationary solution of the dynamic equation: "future price tends to the value maximizing the number of shares traded per unit time" is presented. A remarkable feature of the…

Computational Finance · Quantitative Finance 2022-10-11 Vladislav Gennadievich Malyshkin , Mikhail Gennadievich Belov

I consider an environment in which a decision maker faces uncertainty and privately holds information in the form of a signal about the true state of the world. The decision maker purchases additional information from a data broker before…

Theoretical Economics · Economics 2026-03-02 Arlindo Skënderaj

We solve explicitly a two-dimensional singular control problem of finite fuel type for infinite time horizon. The problem stems from the optimal liquidation of an asset position in a financial market with multiplicative and transient price…

Probability · Mathematics 2019-06-27 Dirk Becherer , Todor Bilarev , Peter Frentrup

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

We consider the hedging error of a derivative due to discrete trading in the presence of a drift in the dynamics of the underlying asset. We suppose that the trader wishes to find rebalancing times for the hedging portfolio which enable him…

Probability · Mathematics 2014-07-18 Jiatu Cai , Masaaki Fukasawa , Mathieu Rosenbaum , Peter Tankov

Starting from the Avellaneda-Stoikov framework, we consider a market maker who wants to optimally set bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders she receives depend not only on…

Trading and Market Microstructure · Quantitative Finance 2020-06-29 Diego Zabaljauregui , Luciano Campi

We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

Portfolio Management · Quantitative Finance 2021-11-04 Jörn Sass , Dorothee Westphal
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