Consider a vote being taken by three individuals: Alice, Bob, and Carol. Their choices are P, E, and S, and their preferences for the three alternatives are given in the following table. Alice Bob Carol 1. P 1. E 1. S 2. S 2. P 2. E 3. E 3. S 3. P a) Suppose Alice sets the agenda and wants P to be chosen. What agenda should she use if she knows that they will all cast a sophisticated vote? b) Suppose Bob sets the agenda and wants E to be chosen. What agenda should he use if he knows that they will all cast a sophisticated vote?