Escape dynamics based on bounded rationality
Abstract
The bounded rationality plays a vital role in the collective behavior of the evacuation process. Also investigating human behavior in such an extreme situation is a continuing concern within social psychology. In this paper, we construct a cellular automaton (CA) model for the escape dynamics, and the bounded rational behavior induced by heterogeneous information is introduced. The non-trivial behavior shows in the replicator dynamics method with mean field approximation, where people's perception of the distribution of population and velocity is reduced to an average value in a certain direction. Analyzing the escape efficiency shows that under the premise of rationality, the bounded rational strategy can get higher performance. Interestingly, a quantifiable meta-stable state appears in the escape process, and the escape time is power-law dependent on system size.
Cite
@article{arxiv.1902.06541,
title = {Escape dynamics based on bounded rationality},
author = {Lingxiao Wang and Yin Jiang},
journal= {arXiv preprint arXiv:1902.06541},
year = {2019}
}
Comments
11 pages, 10 figures. Some corrections in the text were made. Submitted to Physica A