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Coherent qualitative probability. (English) Zbl 0713.60003
B. de Finetti [Rend. Accad. Naz. Lincei 12, 367-373 (1930)] put the basis of the principle of coherence. The meaning of the coherence condition is emphasized by that a prevision-function cannot lead to an inadmissible decision. Moreover, such a way of formulating probability theory provides a more general axiomatic system than that of Kolmogorov. It coincides with Kolmogorov’s system when the family of events is an algebra and has the countable additivity property.
In this note, the author introduces the concepts of coherent, positively coherent and strongly coherent qualitative probability and she proves that coherent qualitative probability can be represented by de Finetti’s coherent previsions.
Reviewer: G.G.Vrănceanu

MSC:
60A05 Axioms; other general questions in probability
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