Information and $$\sigma $$ -algebras
| Autor: | Carlos Hervés-Beloso, Paulo Klinger Monteiro |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Economic Theory. 54:405-418 |
| ISSN: | 1432-0479 0938-2259 |
| DOI: | 10.1007/s00199-012-0723-1 |
| Popis: | 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 \(\sigma \)-algebra. We show that, for countably generated \(\sigma \)-algebras, the larger it is, the larger the information is. The same is true for general \(\sigma \)-algebras after the removal of a negligible set of states. |
| Databáze: | OpenAIRE |
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