Karni and Viero (2013) propose a model of belief revision under growing awareness -
reverse Bayesianism - which posits that as a person becomes aware of new acts, consequences, or act-consequence links, she revises her beliefs over an expanded state space
in a way that preserves the relative likelihoods of events in the original state ...
Karni and Viero (2013) propose a model of belief revision under growing awareness -
reverse Bayesianism - which posits that as a person becomes aware of new acts, consequences, or act-consequence links, she revises her beliefs over an expanded state space
in a way that preserves the relative likelihoods of events in the original state space.
A key feature of the model is that reverse Bayesianism does not fully determine the
revised probability distribution. We provide an assumption - act independence - that
imposes additional restrictions on reverse Bayesian belief revision. We show that with
act independence knowledge of the probabilities of the new act events in the expanded
state space is sufficient to fully determine the revised probability distribution in each
case of growing awareness. We also explore what additional knowledge is required for
reverse Bayesianism to pin down the revised probabilities without act independence.