3. In the following coordination game, a "coin flip" correlated equilibrium exists where each player chooses loner if heads land and each player chooses cooperator if tails lands. 2 C 1 0.1 L 1. 0 1.1 a) Verify the play described above is a correlated equilibrium. b) Draw the probability distribution for the game in this correlated equilibrium. c) Without setting up the maximization problem, what is the optimal correlated equilibrium of this game? Draw the probability distribution for the game in this correlated equilibrium as well