Question 4: (10 pts): Segregation vs. Integration 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 = 0.1x2 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.
Question 4: (10 pts): Segregation vs. Integration 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 = 0.1x2 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.
Chapter20: Building Theories To Explain Everyday Life: From Observations To Questions To Theories To Predictions
Section: Chapter Questions
Problem 9QP
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