Weber-Fechner relation and Lévy-like searching stemmed from ambiguous experiences

T. Sakiyama, Y. P. Gunji

研究成果: Article査読

抄録

Abstract Here, we show that an optimized Lévy-like walk (μ≈2.00) and the Weber-Fechner law can be achieved in our new multi-agent based model that depends on step lengths. Weber-Fechner equation is strongly related to power-law. This equation is sometimes used in order to obtain power-law tailed distributions in observational levels. However, no study has reported how these two popular equations were achieved in micro or mechanistic levels. We propose a new random walk algorithm based on a re-valued algorithm, in which an agent has limited memory capacity, i.e., an agent has a memory of only four recent random numbers (limitation number). Using these random numbers, the agent alters the directional heuristic if the agent experiences moving directional biases. In this paper, the initial limitation number varies depending on the interaction among agents. Thus, agents change their limitation number and produce time delay in respect to rule change events. We show that slope values are variable compared with isolate foraging even though both indicate power-law tailed walks derived from Weber-Fechner equation.

本文言語English
論文番号16269
ページ(範囲)161-168
ページ数8
ジャーナルPhysica A: Statistical Mechanics and its Applications
438
DOI
出版ステータスPublished - 2015 7 18

ASJC Scopus subject areas

  • 統計学および確率
  • 凝縮系物理学

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