Dynamic rationality
The standard dynamic norm of Bayesianism, conditionalization, is clearly inadequate if credences are defined over self-locating propositions. How should it be adjusted?
This question was popular at around 2005-2015. Chris Meacham and I came up with the same answer, which we published in (Meacham 2010), (Schwarz 2012), and (Schwarz 2015). I showed that the replacement norm that we proposed has all the traditional virtues of conditionalization. For example, (under the usual idealized conditions) following the norm uniquely maximizes expected accuracy, and an agent is invulnerable to diachronic Dutch books iff they follow the norm.