Establish when calibration can be expected for a set of predictions

Determine how to establish whether a specified set of predictions will be calibrated, thereby providing a principled basis for assessing the reliability of calibration-dependent decision-making.

Background

The paper argues that calibration on relevant sets allows predicted utility distributions and cumulative utilities to be used for decision-making. However, the practical value of this account depends on knowing whether the relevant predictions will actually be calibrated. The discussion connects this issue to the choice of prediction method, the policy and utility under consideration, and the realism of the assumptions supporting calibration.

The question remains fundamental because calibration is generally a property of sets of predictions rather than isolated numerical forecasts, and because different prediction methods may be calibrated on different sets. A satisfactory answer would clarify how calibration can be assessed or justified before the outcomes of the relevant events are observed.

References

This highlights a fundamental question: How can we say anything about whether a set of predictions will be calibrated?

— A Unifying Perspective on Probabilities as Model Predictions  (2609.09855 - Höltgen, 9 Sep 2026) in Section 2.3, subsection “Calibration revisited”

In particular, it remains unclear why calibration on future data is important and on which (finite/infinite) sets it matters.

— A Unifying Perspective on Probabilities as Model Predictions  (2609.09855 - Höltgen, 9 Sep 2026) in Section 5.2, subsection “Relation to (rational) degrees of belief”

it remains an open question as to whether the total variation assumption offers a sharp characterization of the types of miscalibration that can, or cannot, be detected with finite samples.

— A Ranking Approach for Measuring Calibration  (2609.13100 - Chatterjee et al., 11 Sep 2026) in Section 6, Discussion

Even with exact history, calibrated beyond-persistence updating remains unresolved.

— RAP: Research Attention Prediction Reveals Target-Conditioned Evidence Acquisition Biases  (2609.10092 - Wu et al., 9 Sep 2026) in Section 4.4, “Exact History Reveals a Second Boundary”