Problem #1 Competitive Equilibrium Find the competitive equilibrium if types are not observable for the following labor market. Types: 0, = 3, 0, = 6, 0, = 9 Lottery: p(0 = 0,) = 1/3 , p(0 = 0,) = 1/3 , p(0 = 0,) = 1/3 Reservation wages: r(0,) = 3, r(0,) = 9, r(0,) = 6 3, e, = 6, 0, = 9 %3D 2. %3D %3D %3D %3D
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- A few years ago, the Boston Globe reported that the city of Boston planned to spend $14 million to convert the FleetCenter sports arena and entertainment center into an appropriate venue for the Democratic National Convention (DNC). The city engaged Shawmut Design and Construction in a contractual relationship to complete the work, which was supposed to start 48 days prior to the commencement of the DNC on July 26. However, when negotiations between Boston’s mayor and the police union broke down, the Boston Police Patrolmen’s Association took to the picket lines surrounding the FleetCenter and prevented construction crews from beginning the work. The Globe reported that “a truck attempting to deliver steel turned around after a crowd of union members stood at a chain-link gate in front of the arena, shouting ‘back it up,’ and ‘respect the line, buddy.’” Moreover, the Globe reported that “On-duty police officers, who had been instructed to prevent pickets from restricting access, did…See pictures below... So, given the summary table of the two different market structures, you can infer that, in general, the price is lower under a _________, and the quantity is lower under a ______________.Imagine a signaling model where there are two types of workers, low-productivity workers with a productivity of 10, and high-productivity workers with a productivity of 30. The proportion of low-productivity workers is .5. Firms are competitive and obtain profit equal to the productivity of the worker they hire. Workers can obtain one of three levels of education: e1, e2, and e3. Workers get utility equal to their wage minus the cost of education. Wages must be between 10 and 30. The cost of getting an education for low-productivity workers is e1 = 0, e2 = 9, e3 = 18. The cost of getting an education for high-productivity workers is e1 = 0, e2 =4, e3 = 8. Are there any separating equilibria in this model? If so, find them, if not show why they do not exist.
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