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This paper presents a realistic simulated stock market where large language models (LLMs) act as heterogeneous competing trading agents. The open-source framework incorporates a persistent order book with market and limit orders, partial…

Computational Finance · Quantitative Finance 2025-04-16 Alejandro Lopez-Lira

In this paper, we study joint queue-aware and channel-aware scheduling of arbitrarily bursty traffic over multi-state time-varying channels, where the bursty packet arrival in the network layer, the backlogged queue in the data link layer,…

Information Theory · Computer Science 2016-06-06 Meng Wang , Juan Liu , Wei Chen

Consider a discrete-time infinite horizon financial market model in which the logarithm of the stock price is a time discretization of a stochastic differential equation. Under conditions different from those given in a previous paper of…

Optimization and Control · Mathematics 2014-06-23 Martin Le Doux Mbele Bidima , Miklós Rásonyi

We study a financial market where the risky asset is modelled by a geometric It\^o-L\'{e}vy process, with a singular drift term. This can for example model a situation where the asset price is partially controlled by a company which…

Mathematical Finance · Quantitative Finance 2020-08-24 Nacira Agram , Bernt Øksendal

The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski , Artur Grabski

We study a class of infinite-horizon impulse control problems with execution delay in discrete time. Using probabilistic methods, particularly the notion of the Snell envelope of processes, we construct an optimal strategy among all…

Optimization and Control · Mathematics 2025-01-22 Said Hamadène , Boualem Djehiche

In this paper we introduce a new approach to model-free path-dependent option pricing. We first introduce a general duality result for linear optimisation problems over signed measures introduced in [3] and show how the the problem of…

Pricing of Securities · Quantitative Finance 2015-01-16 Raphael Hauser , Sergey Shahverdyan

The solvability of a delay differential equation arising in the construction of quadratic cost functionals, i.e. Lyapunov functionals, for a linear time-delay system with a constant and a distributed delay is investigated. We present a…

Systems and Control · Computer Science 2019-09-23 Suat Gumussoy , Murad Abu-Khalaf

Bandit algorithms are guaranteed to solve diverse sequential decision-making problems, provided that a sufficient exploration budget is available. However, learning from scratch is often too costly for personalization tasks where a single…

Machine Learning · Computer Science 2025-08-08 Newton Mwai , Emil Carlsson , Fredrik D. Johansson

In this letter we introduce a class of delayed kinetic systems derived from mass action type reaction network models. We define the time delayed positive stoichiometric compatibility classes and the notion of complex balanced time delayed…

Dynamical Systems · Mathematics 2017-04-21 György Lipták , Katalin M. Hangos , Mihály Pituk , Gábor Szederkényi

Using a proprietary dataset of meta-orders and prediction signals, and assuming a quasi-linear impact model, we deconvolve market impact from past correlated trades and a predictable return component to elicit the temporal dependence of the…

Trading and Market Microstructure · Quantitative Finance 2014-07-15 X. Brokmann , E. Serie , J. Kockelkoren , J. -P. Bouchaud

Recent advances have resulted in queue-based algorithms for medium access control which operate in a distributed fashion, and yet achieve the optimal throughput performance of centralized scheduling algorithms. However, fundamental…

Networking and Internet Architecture · Computer Science 2013-05-24 Florian Simatos , Niek Bouman , Sem Borst

R. Cont and A. de Larrard (SIAM J. Finan. Math, 2013) introduced a tractable stochastic model for the dynamics of a limit order book, computing various quantities of interest such as the probability of a price increase or the diffusion…

Mathematical Finance · Quantitative Finance 2016-01-11 Anatoliy Swishchuk , Nelson Vadori

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

Stock trading based on Kelly's celebrated Expected Logarithmic Growth (ELG) criterion, a well-known prescription for optimal resource allocation, has received considerable attention in the literature. Using ELG as the performance metric, we…

Optimization and Control · Mathematics 2020-07-23 Chung-Han Hsieh , B. Ross Barmish , John A. Gubner

We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a uniform framework which admits the introduction and treatment of…

Probability · Mathematics 2025-12-30 Fatihcan M. Atay

Large language models are reshaping quantitative investing by turning unstructured financial information into evidence-grounded signals and executable decisions. This survey synthesizes research with a focus on equity return prediction and…

Portfolio Management · Quantitative Finance 2025-10-08 Weilong Fu

A Hidden Markov Model for intraday momentum trading is presented which specifies a latent momentum state responsible for generating the observed securities' noisy returns. Existing momentum trading models suffer from time-lagging caused by…

Trading and Market Microstructure · Quantitative Finance 2020-06-22 Hugh Christensen , Simon Godsill , Richard E Turner

In the context of large financial markets we formulate the notion of \emph{no asymptotic free lunch with vanishing risk} (NAFLVR), under which we can prove a version of the fundamental theorem of asset pricing (FTAP) in markets with an…

Mathematical Finance · Quantitative Finance 2023-10-10 Christa Cuchiero , Irene Klein , Josef Teichmann

In this paper, we consider the pricing and hedging of a financial derivative for an insider trader, in a model-independent setting. In particular, we suppose that the insider wants to act in a way which is independent of any modelling…

Mathematical Finance · Quantitative Finance 2020-06-25 Beatrice Acciaio , Alexander M. G. Cox , Martin Huesmann