Article (Journal/Review)
Information and σ-algebras
Fecha
2013Registro en:
0938-2259
10.1007/s00199-012-0723-1
2-s2.0-84884586568
Autor
Hervés-Beloso, Carlos
Monteiro, P. K.
Institución
Resumen
In this work, we clarify the relationship between the information that an agent receives from a signal, from an experiment or from his own ability to determine the true state of nature that occurs and the information that an agent receives from a σ-algebra. We show that, for countably generated σ-algebras, the larger it is, the larger the information is. The same is true for general σ-algebras after the removal of a negligible set of states.