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Quantitative understanding of stochastic dynamics in limit order price changes is essential for execution strategy design. We analyze intraday transition dynamics of ask and bid orders across market capitalization tiers using high-frequency…

Statistical Finance · Quantitative Finance 2026-01-09 Salam Rabindrajit Luwang , Kundan Mukhia , Buddha Nath Sharma , Md. Nurujjaman , Anish Rai , Filippo Petroni

In financial applications, latency advantages -- the ability to make decisions later than others, even without the ability to see what others have done -- can provide individual participants with an edge by allowing them to gather…

Theoretical Economics · Economics 2026-05-07 Ciamac C. Moallemi , Mallesh M. Pai , Dan Robinson

Motivated by applications such as urban traffic control and make-to-order systems, we study a fluid model of a single-server, on-off system that can accommodate multiple queues. The server visits each queue in order: when a queue is served,…

Computer Science and Game Theory · Computer Science 2025-04-01 Yanwei Sun , Zhe Liu , Chiwei Yan

We define a stochastic model of a two-sided limit order book in terms of its key quantities \textit{best bid [ask] price} and the \textit{standing buy [sell] volume density}. For a simple scaling of the discreteness parameters, that keeps…

Mathematical Finance · Quantitative Finance 2015-01-06 Ulrich Horst , Michael Paulsen

We study a multi-agent setting in which brokers transact with an informed trader. Through a sequential Stackelberg-type game, brokers manage trading costs and adverse selection with an informed trader. In particular, supplying liquidity to…

Trading and Market Microstructure · Quantitative Finance 2025-11-13 Ryan Donnelly , Zi Li

In this paper, we establish a fluid limit for a two--sided Markov order book model. Our main result states that in a certain asymptotic regime, a pair of measure-valued processes representing the "sell-side shape" and "buy-side shape" of an…

Trading and Market Microstructure · Quantitative Finance 2016-02-25 Xuefeng Gao , S. J. Deng

We propose a parametric model for the simulation of limit order books. We assume that limit orders, market orders and cancellations are submitted according to point processes with state-dependent intensities. We propose new functional forms…

Statistical Finance · Quantitative Finance 2019-07-15 Ioane Muni Toke , Nakahiro Yoshida

Executing even moderately large derivatives orders can be expensive and risky; it's hard to balance the uncertainty of working an order over time versus paying a liquidity premium for immediate execution. Here, we introduce the Time Is…

Mathematical Finance · Quantitative Finance 2021-04-14 Kevin Patrick Darby

This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

Trading and Market Microstructure · Quantitative Finance 2020-03-18 Xuefeng Gao , Yunhan Wang

The presented study elaborates a multi-server priority queueing model considering the pre-emptive repeat policy and phase-type distribution (PH) for retrial process. The incoming heterogeneous calls are categorized as handoff calls and new…

Optimization and Control · Mathematics 2021-08-03 Raina Raj , Vidyottama Jain

We study the scheduling of flows on a switch with the goal of optimizing metrics related to the response time of the flows. The input to the problem is a sequence of flow requests on a switch, where the switch is represented by a bipartite…

Data Structures and Algorithms · Computer Science 2020-05-28 Hamidreza Jahanjou , Rajmohan Rajaraman , David Stalfa

We examine optimal execution models that take into account both market microstructure impact and informational costs. Informational footprint is related to order flow and is represented by the trader's influence on the flow imbalance…

Trading and Market Microstructure · Quantitative Finance 2014-10-21 Kyle Bechler , Mike Ludkovski

Order book dynamics play an important role in both execution time and price formation of orders in an exchange market. In this study, we aim to model the limit order arrival rates in the vicinity of the best bid and the best ask price…

Mathematical Finance · Quantitative Finance 2019-09-19 Can Yilmaz Altinigne , Harun Ozkan , Veli Can Kupeli , Zehra Cataltepe

We present an approach for verifying systems at runtime. Our approach targets distributed systems whose components communicate with monitors over unreliable channels, where messages can be delayed, reordered, or even lost. Furthermore, our…

Logic in Computer Science · Computer Science 2019-09-26 David Basin , Felix Klaedtke , Eugen Zalinescu

In this paper, we investigate the use of variable speed limits for resilient operation of transportation networks, which are modeled as dynamical flow networks under local routing decisions. In such systems, some external inflow is injected…

Systems and Control · Computer Science 2016-09-22 A. Yasin Yazicioglu , Mardavij Roozbehani , Munther A. Dahleh

We investigate several statistical properties of the order book of three liquid stocks of the Paris Bourse. The results are to a large degree independent of the stock studied. The most interesting features concern (i) the statistics of…

Condensed Matter · Physics 2007-05-23 J. -P. Bouchaud , M. Mezard , M. Potters

The problem of load balancing in a distribution network under unknown time- varying demand and supply is studied. A set of distributed controllers which regulate the amount of flow through the edges is designed to guarantee convergence of…

Optimization and Control · Mathematics 2013-02-05 Claudio De Persis

We examine the correlation of the limit price with the order book, when a limit order comes. We analyzed the Rebuild Order Book of Stock Exchange Electronic Trading Service, which is the centralized order book market of London Stock…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Jun-ichi Maskawa

We present a class of macroscopic models of the Limit Order Book to simulate the aggregate behaviour of market makers in response to trading flows. The resulting models are solved numerically and asymptotically, and a class of similarity…

Trading and Market Microstructure · Quantitative Finance 2020-12-09 Jan Rosenzweig

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz