Coherent Extensions of Conditional Probability

  • Giulianella Coletti
  • Romano Scozzafava
Part of the Trends in Logic book series (TREN, volume 15)

Abstract

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.

Keywords

Coherence Assure 

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Giulianella Coletti
    • 1
  • Romano Scozzafava
    • 2
  1. 1.University of PerugiaItaly
  2. 2.University of Roma “La Sapienza”Italy

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