Bimodal Dynamics of the Artificial Limit Order Book Stock Exchange with Autonomous Traders

Fuente: arXiv
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Autori principali: Steinbacher, Matej, Steinbacher, Mitja, Steinbacher, Matjaz
Natura: Preprint
Pubblicazione: 2025
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author Steinbacher, Matej
Steinbacher, Mitja
Steinbacher, Matjaz
author_facet Steinbacher, Matej
Steinbacher, Mitja
Steinbacher, Matjaz
contents This paper explores the bifurcative dynamics of an artificial stock market exchange (ASME) with endogenous, myopic traders interacting through a limit order book (LOB). We showed that agent-based price dynamics possess intrinsic bistability, which is not a result of randomness but an emergent property of micro-level trading rules, where even identical initial conditions lead to qualitatively different long-run price equilibria: a deterministic zero-price state and a persistent positive-price equilibrium. The study also identifies a metastable region with elevated volatility between the basins of attraction and reveals distinct transient behaviors for trajectories converging to these equilibria. Furthermore, we observe that the system is neither entirely regular nor fully chaotic. By highlighting the emergence of divergent market outcomes from uniform beginnings, this work contributes a novel perspective on the inherent path dependence and complex dynamics of artificial stock markets.
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id arxiv_https___arxiv_org_abs_2508_17837
institution arXiv
publishDate 2025
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spellingShingle Bimodal Dynamics of the Artificial Limit Order Book Stock Exchange with Autonomous Traders
Steinbacher, Matej
Steinbacher, Mitja
Steinbacher, Matjaz
Trading and Market Microstructure
Portfolio Management
Pricing of Securities
This paper explores the bifurcative dynamics of an artificial stock market exchange (ASME) with endogenous, myopic traders interacting through a limit order book (LOB). We showed that agent-based price dynamics possess intrinsic bistability, which is not a result of randomness but an emergent property of micro-level trading rules, where even identical initial conditions lead to qualitatively different long-run price equilibria: a deterministic zero-price state and a persistent positive-price equilibrium. The study also identifies a metastable region with elevated volatility between the basins of attraction and reveals distinct transient behaviors for trajectories converging to these equilibria. Furthermore, we observe that the system is neither entirely regular nor fully chaotic. By highlighting the emergence of divergent market outcomes from uniform beginnings, this work contributes a novel perspective on the inherent path dependence and complex dynamics of artificial stock markets.
title Bimodal Dynamics of the Artificial Limit Order Book Stock Exchange with Autonomous Traders
topic Trading and Market Microstructure
Portfolio Management
Pricing of Securities
url https://arxiv.org/abs/2508.17837