The statistics of cognitive variability: Explaining common patterns in individuals, groups and financial markets

Abstract

Psychological variability (i.e., “noise”) displays interesting structure which is hidden by the common practice of averaging over trials. Interesting noise structure, termed ‘stylized facts’, is observed in financial markets (i.e., behaviors from many thousands of traders). Here we investigate the parallels between psychological and financial time series. In a series of three experiments (total N = 202), we successively simplified a market-based price prediction task by first removing external information, and then removing any interaction between participants. Finally, we removed any resemblance to an asset market by asking individual participants to simply reproduce temporal intervals. All three experiments reproduced the main stylized facts found in financial markets, and the robustness of the results suggests that a common cognitive-level mechanism can produce them. We identify one potential model based on mental sampling algorithms, showing how this general-purpose model might account for behavior across these very different tasks.