Confidence in Inference R&R at ReStud
Abstract
Do people behave as if they know how informative signals are? I axiomatically identify the restrictions on choice implied by certainty about the information structure in a sample environment. Certainty is equivalent to a separability axiom and yields parallel linear indifference curves in the space of samples. This equivalence does not depend on expected utility or Bayesian updating and holds for a broad class of monotone updating and choice rules. A controlled experiment shows that certainty about the information structure is rejected for 95% of subjects. Subjects are insensitive to the stated information structure and instead choose based solely on sample characteristics. Many decisions display a sample-size neglect bias. Using an incentive-compatible confidence elicitation method, I find that sample-size neglect is positively associated with confidence, suggesting that subjects act as if they are uncertain about the information structure even when it is explicitly provided.