5 problems

The discussion concerns proper scoring rules for imprecise probabilities under epistemic semantics, where imprecision represents uncertainty about an underlying precise data-genera…

Higher-order credal convergence conjecture.

Strong sub-conjecture. There exists a total ordering $precsim$ on $C^i$ with minimum and maximum elements $PL, PU$ such that

Minimal sub-conjecture. There exists a simple parametrization for $C^i$ with respect to the total variation metric.

Uniformity conjecture. When higher order credal sets contain all possible probability functions, the highest-order confidences converge to form a uniform distribution over the firs…