Dynamical Trading Mechanism in Limit Order Markets
Abstract
This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of trading processes, which is critical in the dynamics of bid-ask pairs and the switching laws between different traders' types and their orders. In general, after introducing the atomic trading scheme, we study a general iterated trading process in both combinatorial and stochastic ways, and state a few results on the stability of a dynamical trading system. We also study the controlled dynamics of the spread and the mid-price in an iterated trading system, when their movements, generated from the dynamics of bid-ask pairs, are assumed to be restricted within some extremely small ranges.
Cite
@article{arxiv.1303.3133,
title = {Dynamical Trading Mechanism in Limit Order Markets},
author = {Shilei Wang},
journal= {arXiv preprint arXiv:1303.3133},
year = {2014}
}
Comments
27 pages