coherent-prices-are-convex-hull-of-resolutions
leaf/step · drafted
Statement
The de Finetti Dutch-book argument run with arbitrary terminal values gives that coherent prices are the convex hull of the admissible resolutions, so the argument's classical-logic assumption is a choice of which resolutions are admissible; the Łukasiewicz instance is prior art.
Source
de Finetti, Theory of Probability (1974), the coherence theorem (coherent previsions are the convex hull of the admissible valuations); Mundici, Bookmaking over infinite-valued events (2006), the Łukasiewicz instance.
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