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In certain contexts, agents might not be able to achieve common knowledge.
Monderer and Samet show that, while the agents in the e-mail game can never achieve common knowledge of the world ω, if they have common p-belief of ω for sufficiently high p, then there is an ex ante equilibrium at which they follow (A,A) if ω = ω1 and (B,B), if ω = ω2.
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Indeed, no earlier society could support more than a handful of such people because, until quite recently, no one knew how to put people with different skills and knowledge together to achieve common goals.
With probability one, therefore, the agents fail to achieve full common knowledge.
But they do at least achieve something "close" to common knowledge.
How and whether common knowledge can be achieved depends on available communication facilities.
Even if common knowledge is sometimes hard to achieve in practice, it serves as necessary presumption in regulating society.
Common knowledge e. Connections.
That is common knowledge.
That's common knowledge.
It was common knowledge".
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Justyna Jupowicz-Kozak
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