We designed a platform with a betting mechanism for eliciting costly, dispersed information of different quality. Our objective is to elicit both dispersed information and the precision of the information so as to efficiently weight dispersed information to produce reliable forecasts. After...

Contemporary tests for structural change are designed to detect a structural break within a given historical data set of fixed size. Due to the law of the iterated logarithm, these one-shot tests cannot be applied to monitor out-of-sample stability each time new data arrive. The authors propose...

Abstract A scoring rule is proper if it elicits an expert's true beliefs as a probabilistic forecast, and it is strictly proper if it uniquely elicits an expert's true beliefs. The value function associated with a (strictly) proper scoring rule is (strictly) convex on any convex set of beliefs....