@misc{10481/96035, year = {2021}, month = {2}, url = {https://hdl.handle.net/10481/96035}, 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.}, publisher = {Elsevier}, keywords = {Decision making}, keywords = {Mental chronometry}, keywords = {Stochastic latency mechanisms}, keywords = {Information entropy}, keywords = {Power-law scaling}, title = {A random multiplicative model of Piéron’s law and choice reaction times}, doi = {10.1016/j.physa.2020.125500}, author = {Medina Ruiz, José Manuel and Díaz Navas, José Antonio}, }