Problem 1: [20 pts] Consider the following sequential game involving 3 players. The game begins with 4 one-dollar bills on the table. Anne is the rst to arrive, and decides on a number of dollars (either 0,1,2,3 or 4) to \"steal\" from the table. Then Bob is second to arrive and observes the remaining money on the table. Bob then decides how much of the money to \"steal\" from the table (for example, if there's 3 dollars remaining he can choose to take either 0, 1, 2, or 3 dollars). Finally Charles is the last to arrive and again observes the amount of money left on the table and decides how much money to steal. After these actions have been taken, if the remaining amount of money is less than or equal to 2, then all players' utilities are equal to the amount of money that they stole. If on the other hand, the remaining money is greater than or equal to 3, then all players' utils are equal to the amount of money that they stole plus an additional 5 utils (maybe because they can use that remaining money to purchase a very nice car which benets everyone). Part a: [10 pts] Draw the game tree of the described game. Part I): [10 pts] How many strategies does Charles have in this game? Write out a two examples of possible strategies of Charles