4. Consider the following two-person normal form game (Chicken) and the (direct) correlation device, where 0

4. Consider the following two-person normal form game (Chicken) and the (direct) correlation device, where 0 < q < 1. Now call a correlated equilibrium "disobedient" if in the extended game, the strategy of "playing the non-recommended action" for both players constitute a Nash equilibrium. For this game, assuming that (b-a) = (d-c), prove that the following device is a disobedient correlated equilibrium if q 1/3. Game uuu Device q (1 - q)/2