Coherent Extensions of Conditional Probability
A coherent assessment P, defined on a finite set C of conditional events, can be extended in a natural way (through the introduction of the relevant atoms) to all conditional events E|H logically dependent on g, i.e. such that E ⋀ H is an element of the algebra g spanned by the (unconditional) events E i , H i (i = 1, 2, …, n) taken from the elements of C, and H is an element of the additive class spanned by the H i 's.
Unable to display preview. Download preview PDF.