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arXiv · 1902.06541

Escape dynamics based on bounded rationality

Lingxiao Wang·Yin Jiang
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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.

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Lingxiao Wang, Yin Jiang. 2019-02-18. Escape dynamics based on bounded rationality. https://doi.org/10.1016/j.physa.2019.121777

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