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Most modern financial markets use a continuous double auction mechanism to store and match orders and facilitate trading. In this paper we develop a microscopic dynamical statistical model for the continuous double auction under the…

Statistical Mechanics · Physics 2009-11-07 Eric Smith , J. Doyne Farmer , Laszlo Gillemot , Supriya Krishnamurthy

Digital marketplaces processing billions of dollars annually represent critical infrastructure in sociotechnical ecosystems, yet their performance optimization lacks principled measurement frameworks that can inform algorithmic governance…

Machine Learning · Computer Science 2026-04-27 Thomas Asikis , Heinrich H. Nax

The mining of bitcoin is modeled using system dynamics, showing that the past evolution of the network hash rate can be explained to a large extent by an efficient market hypothesis applied to the mining of blocks. The possibility of a…

Cryptography and Security · Computer Science 2020-04-21 Davide Lasi , Lukas Saul

The Bitcoin transaction graph is a public data structure organized as transactions between addresses, each associated with a logical entity. In this work, we introduce a complete probabilistic model of the Bitcoin Blockchain. We first…

Cryptography and Security · Computer Science 2018-12-14 Marc Jourdan , Sebastien Blandin , Laura Wynter , Pralhad Deshpande

Forecasting cryptocurrencies as a financial issue is crucial as it provides investors with possible financial benefits. A small improvement in forecasting performance can lead to increased profitability; therefore, obtaining a realistic…

Computational Finance · Quantitative Finance 2024-05-01 Hulusi Mehmet Tanrikulu , Hakan Pabuccu

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

In light of micro-scale inefficiencies induced by the high degree of fragmentation of the Bitcoin trading landscape, we utilize a granular data set comprised of orderbook and trades data from the most liquid Bitcoin markets, in order to…

Trading and Market Microstructure · Quantitative Finance 2021-08-24 Jakob Albers , Mihai Cucuringu , Sam Howison , Alexander Y. Shestopaloff

Bitcoin, as one of the most popular cryptocurrency, is recently attracting much attention of investors. Bitcoin price prediction task is consequently a rising academic topic for providing valuable insights and suggestions. Existing bitcoin…

Statistical Finance · Quantitative Finance 2020-08-25 Xiao Li , Weili Wu

In this paper we consider classes of models that have been recently developed for quantitative finance that involve modelling a highly complex multivariate, multi-attribute stochastic process known as the Limit Order Book (LOB). The LOB is…

Computational Finance · Quantitative Finance 2015-04-23 Gareth W. Peters , Efstathios Panayi , Francois Septier

The size and complexity of software and hardware systems have significantly increased in the past years. As a result, it is harder to guarantee their correct behavior. One of the most successful methods for automated verification of…

Artificial Intelligence · Computer Science 2011-07-04 O. Grumberg , S. Livne , S. Markovitch

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

Probabilistic intraday electricity price forecasting is becoming increasingly important for short-term power-system operation. With increasing renewable generation, demand-side flexibility, and storage assets, market participants need to…

Computational Finance · Quantitative Finance 2026-05-12 Runyao Yu , Yuchen Tao , Fabian Leimgruber , Tara Esterl , Jochen Stiasny , Derek W. Bunn , Qingsong Wen , Hongye Guo , Jochen L. Cremer

We develop a dynamic model of the Bitcoin market where users set fees themselves and miners decide whether to operate and whom to validate based on those fees. Our analysis reveals how, in equilibrium, users adjust their bids in response to…

Theoretical Economics · Economics 2025-02-24 Yuichiro Kamada , Shunya Noda

The detection of outliers within cryptocurrency limit order books (LOBs) is of paramount importance for comprehending market dynamics, particularly in highly volatile and nascent regulatory environments. This study conducts a comprehensive…

Trading and Market Microstructure · Quantitative Finance 2025-07-22 Ivan Letteri

This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of…

Trading and Market Microstructure · Quantitative Finance 2010-06-24 Pekka Malo , Teemu Pennanen

In financial markets, liquidity is not constant over time but exhibits strong seasonal patterns. In this article we consider a limit order book model that allows for time-dependent, deterministic depth and resilience of the book and…

Trading and Market Microstructure · Quantitative Finance 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

Cryptocurrencies, such as Bitcoin, are one of the most controversial and complex technological innovations in today's financial system. This study aims to forecast the movements of Bitcoin prices at a high degree of accuracy. To this aim,…

Computational Finance · Quantitative Finance 2023-03-09 Hakan Pabuccu , Serdar Ongan , Ayse Ongan

We generalise the description of the dynamics of the order book of financial markets in terms of a Brownian particle embedded in a fluid of incoming, exiting and annihilating particles by presenting a model of the velocity on each side (buy…

Trading and Market Microstructure · Quantitative Finance 2015-08-26 Yoshihiro Yura , Hideki Takayasu , Didier Sornette , Misako Takayasu

In this paper, we employ the Heston stochastic volatility model to describe the stock's volatility and apply the model to derive and analyze the optimal trading strategies for dealers in a security market. We also extend our study to option…

Trading and Market Microstructure · Quantitative Finance 2016-02-02 Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu , Qing-Qing Yang