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Common Belief with the Logic of Individual Belief

✍ Scribed by Giacomo Bonanno; Klaus Nehring

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
177 KB
Volume
46
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

The logic of common belief does not always reflect that of individual beliefs. In particular, even when the individual belief operators satisfy the KD45 logic, the common belief operator may fail to satisfy axiom 5. That is, it can happen that neither is A commonly believed nor is it common belief that A is not commonly believed. We identify the intersubjective restrictions on individual beliefs that are incorporated in axiom 5 for common belief.

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