arXiv Analytics

Sign in

arXiv:math/0501244 [math.PR]AbstractReferencesReviewsResources

Statistical properties of the phase transitions in a spin model for market microstructure

Muffasir Badshah, Robert Boyer, Ted Theodosopoulos

Published 2005-01-15Version 1

Increased day-trading activity and the subsequent jump in intraday volatility and trading volume fluctuations has raised considerable interest in models for financial market microstructure. We investigate the random transitions between two phases of an agent-based spin market model on a random network. The objective of the agents is to balance their desire to belong to the global minority and simultaneously to the local majority. We show that transitions between the "ordered" and "disordered" phases follow a Poisson process with a rate that is a monotonically decreasing function of the network connectivity.

Comments: 4 pages, 11 figures, submitted to the 6th ACM Conference on Electronic Commerce, Vancouver, Canada, 2005
Categories: math.PR
Subjects: 62P05, 91B26
Related articles: Most relevant | Search more
arXiv:1911.02622 [math.PR] (Published 2019-11-06)
Phase transitions for chase-escape models on Gilbert graphs
arXiv:2007.09269 [math.PR] (Published 2020-07-17)
The number of saddles of the spherical $p$-spin model
arXiv:math/0501481 [math.PR] (Published 2005-01-27, updated 2005-07-14)
Two Phase Transitions for the Contact Process on Small Worlds