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Escape dynamics based on bounded rationality

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  • Wang, Lingxiao
  • Jiang, Yin

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 to 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.

Suggested Citation

  • Wang, Lingxiao & Jiang, Yin, 2019. "Escape dynamics based on bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119310222
    DOI: 10.1016/j.physa.2019.121777
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    Cited by:

    1. Tamang, Nutthavuth & Sun, Yi, 2023. "Application of the dynamic Monte Carlo method to pedestrian evacuation dynamics," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    2. Gao, Dong Li & Xie, Wei & Ming Lee, Eric Wai, 2022. "Individual-level exit choice behaviour under uncertain risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).

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