Problem 5: Consider the following scenario. Three people A, B, C each decide simultaneously on a cafe to study at. There are two choices of cafes, Cafe X and Cafe Y. The problem with this situation is that none of these people mutually like each other. A dislikes B, B dislikes C, and C dislikes A. On the other hand, A likes C, B likes A, and 0 likes B. After deciding on a cafe, each individual i obtains a utility. Everyone likes Cafe X better than Cafe Y and so being at Cafe X yields each player an additional 1 unit of utility. Each individual I? also obtains an additional 16 > 0 utils if the person they like decides to study at the same cafe and obtains