Consider a game of chicken in which two people say James in teen drive to very fast cards towards each other from opposite end of a long, straight road. If one of those words before the other, he is called a chicken, of course if neither swerve they will crash. The game can be represented in the following payoff matrix below.

James Swerve Go Straight Swerve 0,0 0,3 Dean Go Straight 3,0 -10, -10 Note that the first munber in the cell is the payoff of Dean, and the second number in the cell is the payoff of James. (a) Show that there are no dominated strategies for neither James nor Dean. (b) Find pure strategy Nash Equilibria in this game. (Hint: There are two psNE.) (c) Draw a sequential form of the game where Dean moves first. Find the NE in this sequential-move game. Do you get the same NE as in part (a)? (d) Now consider James moves first. Draw the new sequential form. Find the NE in this game. Is it the same as in part (b)