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This paper presents an equilibrium model of dynamic trading, learning, and pricing by strategic investors with trading targets and price impact. Since trading targets are private, rebalancers and liquidity providers filter the child order…

Trading and Market Microstructure · Quantitative Finance 2021-08-09 Xiao Chen , Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

Optimization and Control · Mathematics 2018-03-01 Nyles Breecher , Richard Stockbridge

We propose and study a simple stochastic model for the dynamics of a limit order book, in which arrivals of market order, limit orders and order cancellations are described in terms of a Markovian queueing system. Through its analytical…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Rama Cont , Adrien De Larrard

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

Computing market equilibria is a problem of both theoretical and applied interest. Much research to date focuses on the case of static Fisher markets with full information on buyers' utility functions and item supplies. Motivated by…

Computer Science and Game Theory · Computer Science 2021-10-05 Yuan Gao , Christian Kroer , Alex Peysakhovich

Online marketplaces increasingly do more than simply match buyers and sellers: they route orders across competing sellers and, in many categories, offer ancillary fulfillment services that make seller inventory a source of platform revenue.…

Multiagent Systems · Computer Science 2026-04-09 Rene Caldentey , Tong Xie

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 formulate a continuous-time competitive equilibrium model of irreversible capacity investment in which a continuum of heterogeneous producers supplies a single non-durable good subject to exogenous stochastic demand. Each producer…

Probability · Mathematics 2025-12-04 Constantinos Kardaras , Alexandros Pavlis , Mihail Zervos

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

Optimization and Control · Mathematics 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

We study a discrete-time financial market with a single constrained trader, competitive market makers, and noise traders. Within the class of linear equilibria, the equilibrium structure is shown to be uniquely determined by two state…

Mathematical Finance · Quantitative Finance 2025-08-15 Heeyoung Kwon , Jin Hyuk Choi

We examine the dynamics of the bid and ask queues of a limit order book and their relationship with the intensity of trade arrivals. In particular, we study the probability of price movements and trade arrivals as a function of the quote…

Trading and Market Microstructure · Quantitative Finance 2013-12-03 Alexander Lipton , Umberto Pesavento , Michael G Sotiropoulos

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

Physics and Society · Physics 2008-12-02 Szabolcs Mike , J. Doyne Farmer

We propose a model for the dynamics of a limit order book in a liquid market where buy and sell orders are submitted at high frequency. We derive a functional central limit theorem for the joint dynamics of the bid and ask queues and show…

Trading and Market Microstructure · Quantitative Finance 2012-03-01 Rama Cont , Adrien De Larrard

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

Computational Finance · Quantitative Finance 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize…

Mathematical Finance · Quantitative Finance 2020-03-26 Johannes Muhle-Karbe , Marcel Nutz , Xiaowei Tan

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

General Physics · Physics 2007-05-23 V. Granik , A. Granik

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 focuses on the operation of an electricity market that accounts for participants that bid at a sub-minute timescale. To that end, we model the market-clearing process as a dynamical system, called market dynamics, which is…

Optimization and Control · Mathematics 2021-12-14 Pengcheng You , Yan Jiang , Enoch Yeung , Dennice F. Gayme , Enrique Mallada

We propose and analyze numerically a simple dynamical model that describes the firm behaviors under uncertainty of demand forecast. Iterating this simple model and varying some parameters values we observe a wide variety of market dynamics…

General Finance · Quantitative Finance 2017-11-22 Asaf Levi , Juan Sabuco , Miguel A. F. Sanjuan
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