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

José M. Medina and José A. Díaz

Physica A: Statistical Mechanics and its Applications, 2021, vol. 564, issue C

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.

Keywords: Decision making; Mental chronometry; Stochastic latency mechanisms; Information entropy; Power-law scaling (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:564:y:2021:i:c:s0378437120307986

DOI: 10.1016/j.physa.2020.125500

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