We suggest that one individual holds multiple degrees of belief about an outcome, given the evidence. We then investigate the implications of such noisy probabilities for a buyer and a seller of binary options and find the odds agreed upon to ensure zero-expectation betting, differ from those...

Do experts form rational beliefs when making split-second, sophisticated judgments? A long literature suggests not: individuals often form prior beliefs from biased sampling and update those beliefs by improperly weighting new information. This paper studies belief formation by professional...

Memory is biased. People, for instance, privilege recalling information that confirms preexisting beliefs. This paper examines how selective memory shapes how people search for information. I propose a bandit model, in which different signal are recalled at different rates of probability....

This book is a rigorous but practical presentation of the Bayesian techniques of uncertainty quantification, with applications in R. This volume includes mathematical arguments at the level necessary to make the presentation rigorous and the assumptions clearly established, while maintaining a...