1. 3 students must split a pizza that was cut to 24 equally large slices at the restaurant. Their preferences are strongly monotonic and there are no externalities. (a) Formulate the preference relation induced by the majority rule on the feasible sharings of the pizza. Show that this relation is complete. (b) Show that for every allocation of pizza, there exists another one that is strictly preferred by a majority of agents. (c) What does this imply about the transitivity of the induced preference relation? 1. 3 students must split a pizza that was cut to 24 equally large slices at the restaurant. Their preferences are strongly monotonic and there are no externalities. (a) Formulate the preference relation induced by the majority rule on the feasible sharings of the pizza. Show that this relation is complete. (b) Show that for every allocation of pizza, there exists another one that is strictly preferred by a majority of agents. (c) What does this imply about the transitivity of the induced preference relation