Textbook Chapter 5 Pg 159 Question 13 In one battle field of the Fifth World War, the battle front of Country szechpol need emergent military relief supplies to rescue the battle. The corps Alanmashi and UKponet will be in charge of completing this arduous military task. They will have to deliver the relief supplies first through a turbulent river and then through a rugged mountain road. If the corps work together simultaneously to nish the task, they will attain 1 billion of Ub dollars each corp for military rewards. If the corp Alanmashi is in charge of delivering the relief supplies through the rst path of a turbulent river and the corp UKponet is responsible for delivering the relief supplies through the second path of a rugged mountain road, the corp Alanmashi will get 1.5 billions of Ub dollars and the corps UKpofinet will get 2 billions of Ub dollars for military rewards. Reversely, if the corp UKponet is in charge of delivering the relief supplies through the first path of a turbulent river and the corp Alanmashi is responsible for delivering the relief supplies through the second path of a rugged mountain road, the corp UKponetwill get 1.5 billions of Ub dollars and the corps Alanmashi will get 2 billions of Ub dollars for military rewards. Now the corps havejust received the urgent order from the highest level ofthe Army that they are required to vote by writing "river" or "road" to decide the detailed delivery seouence for finishing the delivery plan. Assume that both corps vote "river" or "road" simultaneously, they would work together simultaneously to nish the task. If one corp vote "river", the other corp vote "road", they will be responsible for the task through the delivery path from their choices. Question: Try to find the NE [Nash Equilibrium} and SPE [Subgame Perfect Equilibrium} of this extensive game by using backward induction method and writing down the detailed backward induction procedure [including the tree chart of subgame histories } and the reasons for each induction step