Prove that if player i believes at the state of the world, Basic Statistics

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Prove that if player i believes at the state of the world

Prove that if player i believes at the state of the world ω that the state of the world is consistent, then he believes that every player believes that the state of the world is consistent.

Deduce that in this case player i believes that it is common belief that the state of the world is consistent.

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Basic Statistics: Prove that if player i believes at the state of the world

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Basic Statistics: Prove that if player i believes at the state of the world

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