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A random multiplicative model of Piéron’s law and choice reaction times

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  • Medina, José M.
  • Díaz, José A.

Abstract

We present a random multiplicative model with additive noise of human reaction/response times based on the power-law function, Piéron’s law. We study the role of weak additive noise in two different scenarios: in the first case, the multiplicative model describes the differences between simple, and two-choice reaction times in Piéron’s law. In the second case, we investigate how choice reaction times depend on the transfer of information in neurons. A transition is found at 0.5 bits due to weak additive noise. Reaction times follow an U-shaped function that lead to both anti-Hick’s and Hick’s effects. We discuss the implications of random multiplicative processes, and minimum transfer of information in decision making, and neural control.

Suggested Citation

  • Medina, José M. & Díaz, José A., 2021. "A random multiplicative model of Piéron’s law and choice reaction times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    • Handle: RePEc:eee:phsmap:v:564:y:2021:i:c:s0378437120307986
    DOI: 10.1016/j.physa.2020.125500
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    References listed on IDEAS

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    1. V. I. Yukalov & D. Sornette, 2014. "Self-Organization In Complex Systems As Decision Making," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 17(03n04), pages 1-30.
    2. Javier A Caballero & Nathan F Lepora & Kevin N Gurney, 2015. "Probabilistic Decision Making with Spikes: From ISI Distributions to Behaviour via Information Gain," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-35, April.
    3. Medina, José M. & Díaz, José A., 2016. "Extreme reaction times determine fluctuation scaling in human color vision," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 125-132.
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