1. Standard and nonstandard representability of positive uncertainty orderings
- Creator:
- Capotorti, Andrea, Coletti, Giulianella, and Vantaggi, Barbara
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- comparative probability, comparative plausibilities, hyperreal field, and representability by nonstandatd measures
- Language:
- English
- Description:
- Axioms are given for positive comparative probabilities and plausibilities defined either on Boolean algebras or on arbitrary sets of events. These axioms allow to characterize binary relations representable by either standard or nonstandard measures (i. e. taking values either on the real field or on a hyperreal field). We also study relations between conditional events induced by preferences on conditional acts.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public