Assignment:
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 ascribes probability qi to an event A is common knowledge among the players. Prove that q1 = q2 =···= qn.
Provide complete and step by step solution for the question and show calculations and use formulas.