Please label everything clearly and show all work. Thanks!

Problem 7 Kyle and Shawn are trying to decide what game they should play. Like most brothers, they naturally don't agree. Kyle wants to play dodgeball, and Shawn wants to play tag. I defined their game below Shawn Dodgeball Tag Dodgeball 2,3 0, 1 Kyle Tag 1,0 3,2 (a) What is special about this game? (b) Solve for the Nash Equilibrium. (c) Since Kyle is the oldest, he decides that he gets to pick first, then Shawn gets to pick after observing Kyle's choice. Set-up the sequential game. What is the Nash equilibria in this game? (d) Their mom saw what happened and has decided that now Shawn gets to pick first. After observing Shawn's choice, Kyle can then decide. Set-up the new sequential game. What is the Nash equilibria in this game? (e) Compare your answers between (c) and (d). Did your answers match? Why or why not