l. The city of Triad has the shape of an equilateral triangle, as shown below. The citizens of Triad live uniformly spread all over the city (that is, within the triangle and on the triangle). There are two vendors, A and B, who have to decide (independently) where to set up their stalls. Citizens go to the nearest vendor. If both vendors locate at the same point, each gets to serve half the citizenry. Each vendor's aim is to maximize the number of customers. (a) If A and B both locate atsr or one locates at :r and the other at y, explain {in no more than 3 or 4 sentences) why neither would be a Nash equilibrium. (b) Does this game have a Nash equilibrium? If yes, describe the Nash equilibrium; if not, explain why not