Consider the static game of Matching Pennies introduced in Chapter 6, given by the following matrix: Player 2 H T H 1, -1 Player I T -1. 1 1, -112.10 Purification: Consider the perturbed Matching Pennies game described in Section 12.5 and show that the Bayesian Nash equilibrium identified is the unique Bayesian Nash equilibrium. (Hint: Some insights can be gained by looking at the solution to the study group example in Section 12.2.2.)