Abstract
This within-subject Prolific experiment investigates how cognitive complexity drives choices over lotteries and so-called deterministic mirrors. The experiment comprises two blocks. In the first, replicating Oprea (2024), subjects choose between certain rewards, lotteries, and deterministic mirrors using multiple price lists. In the second, subjects encounter the same objects but are instead asked to provide the expected value of the lottery or the absolute value of the deterministic mirror and are paid based on accuracy. Within this block, we elicit five complexity measures—number of mistakes, deviations from the correct answer, confidence, decision times, and willingness-to-accept complexity costs to avoid doing the task—across three conditions: lotteries, deterministic mirrors, and a simple benchmark. We examine how complexity differs across these tasks, assess individual consistency across measures, and use these metrics to understand choices as a result of complexity and preferences. Finally, we test whether block order produces learning effects.