Condition of Independence Under Common Knowledge

Independence under common knowledge, or subjective independence, is the idea that there are variables introduced to the previously accepted idea of “common knowledge,” where every agent or player knows a specific set of information, and every agent or player also knows that every other agent or player knows the same specific set of information. This slight variation to common knowledge introduces the possibility that complex games could contain pieces of information that are known to most of the players but not all, but can still be applied in the same way as if every player knew and understood the information . . .

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