Consider the following Bayesian game. Nature chooses between the states x and x' where x is chosen with a probability p. Player 1 observes the state but player 2 has no information regarding nature's choice. Player 2 believes that with probabilityphe is in state x. The two players then play a simultaneous game with payoffs given below. Player 1 chooses between T and B and Player 2 chooses between L and R.

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