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This exercise generalizes Aumann's Agreement Theorem to a set of players of arbitrary finite size.

Given an Aumann model of incomplete information with beliefs (N, Y, (Fi)_i_∈N, s, P) with n players, suppose that for each i ∈ N, the fact that player i describes probability qi to an event A is common knowledge among the players. Prove that q₁ = q₂ =···= q_n.

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Category:- Statistics and Probability
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