Consider a city of 200 people (100 rich and 100 poor) and two neighborhoods (100 people in each). Both groups generally prefer to live with rich people and are willing to pay a premium for living with a fraction of rich people that is larger than 50%. Poor people's premium curve is given as Ppoor = 16, the premium is constant and independent of the share of rich. Rich people's premium curve is given by Prich = 0.1x^2( where x is the percentage of rich above 50% (e.g., if there are 52% rich, x will be 2). Assume the current share of rich people is 65%. What is the equilibrium outcome? Is there more than one equilibrium? Explain.