4. Hotelling Game with Order of Arrival There are three ice cream sellers 1, 2,and 3. They arrive at the beach below in order of their name, and can place their ice cream cart at (0, 1, 1.3,11 If 3 agents "surround" an interval ,y], then they split it evenly into thirds: for each. (a) Solve for a subgame perfect equilibrium by backward induction. (b) Contrast this result with no equilibria in the simultaneous version 4 24 Which is more "reasonable"? When would a modeller choose the simultaneous model vs. the "order of arrival" version? (c) How would you model it? 4. Hotelling Game with Order of Arrival There are three ice cream sellers 1, 2,and 3. They arrive at the beach below in order of their name, and can place their ice cream cart at (0, 1, 1.3,11 If 3 agents "surround" an interval ,y], then they split it evenly into thirds: for each. (a) Solve for a subgame perfect equilibrium by backward induction. (b) Contrast this result with no equilibria in the simultaneous version 4 24 Which is more "reasonable"? When would a modeller choose the simultaneous model vs. the "order of arrival" version? (c) How would you model it