Question: Its an EASY question. PLEASE Need help URGENTLY. Consider the following Bayesian game. Nature chooses between the states x and x' where x is chosen

Its an EASY question. PLEASE Need help URGENTLY.

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 probability p he 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.

1\2 L R 1\2 L R

T 12,9 3,6 T 0,9 3,6

B 6,0 6,9 B 0,0 6,9

State xState x'

  1. Write down the elements of a Bayes Nash Equilibrium.
  2. Solve for a pure strategy Bayesian equilibrium (ia) when p=2/3
  3. Solve for a pure strategy Bayesian equilibrium (ia) when p=1/3

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