Probabilism, entropies and strictly proper scoring rules
An accuracy argument justifying probabilism by tracking chances is provided. An argument against the assumption that an inaccuracy measure is strictly proper is made. Generalised entropy maximisation principles are justified in terms of worst case expected loss avoidance. Generalised entropy maximisation principles are shown to entail the principle of indifference, in a number of cases. The notion of locality applying to scoring rules defined on general belief functions is studied.
probabilism entropy scoring rule accuracy principle of indifference strict propriety