Two equally competitive pet shops want to locate stores in lake tahoe, where there are currently none. there are three main business centers. tahoe city serves 37% of the population, incline village 32% and south lake tahoe 31%. if both shops locate in the same center they split all the business equally, if they locate in different centers, they get all the business in the center in which they locate plus half the business in the third center. where should the pet shops locate? set up a game matrix and solve.