Distention for Sets of Probabilities

Rush T. Stewart, Michael Nielsen

Research output: Contribution to journalArticlepeer-review


Bayesians often appeal to “merging of opinions” to rebut charges of excessive subjectivity. But what happens in the short run is often of greater interest than what happens in the limit. Seidenfeld and coauthors use this observation as motivation for investigating the counterintuitive short run phenomenon of dilation, since, they allege, dilation is “the opposite” of asymptotic merging of opinions. The measure of uncertainty relevant for dilation, however, is not the one relevant for merging of opinions. We explicitly investigate the short run behavior of the metric relevant for merging, and show that dilation is independent of the opposite of merging.
Original languageEnglish
Pages (from-to)604-620
Issue number3
Early online date4 Mar 2022
Publication statusPublished - 1 Jul 2022


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