Exercise 3 Education as a Signal - = $10y; for For workers in Group H (high-skill workers), the cost of attaining an educational level y is CH(y) workers in Group L (low-skill workers), the cost of attaining an educational level y is CL (y) = $15y. Employees will be offered $60 if they have y ≥ y*, where y" is an educational threshold determined by the employer. They will be offered $20 if they have y < y*. a) Find if in equilibrium, education can be used as a market signal of the worker's skill. b) Find the range for which education can be used as a market signal of the worker's skill (the solution is a range such as 5 ≥ y* > 1)
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- Bolsa-Familia is a social welfare program in Brazil. In this program, poor families are given cash payments conditional on their children's school attendance. Suppose you want to con- duct a study on the impact of Bolsa-Familia on future earnings. Your treatment group is children on the program, and your control group is chil- dren who aren't on the program but have similar family backgrounds. What is the problem with this method?Workers come in many different types, or productivities. The productivity of a worker is given by O where 0 is distributed uniformly on the interval 0 < 0 < 2. When a firm hires a worker with productivity 0, the firm can produce 0 units of output and earn pe in revenue, where p < 2. Each worker can choose to work for the company, or can seek employment elsewhere that gives the worker a wage 03. (a) If the firm pays a wage w, which types of workers want to work for the firm? (b) What is the average output of the workers hired by the firm and what is the average output of those who don't work for it? (c) If the firm is a monopsony purchaser of labour, what wage would it set to maximise its profits. What is the employment level? (d) If the firm is in a perfectly competitive industry what will the wage be? (e) An educational establishment opens up. It will test the workers for free and only workers with 0 2 1 pass the test. The company decides to offer a different wage to workers who pass…Please no written by hand solutions You need to hire some new employees to staff your startup venture. You know that potential employees are distributed throughout the population as follows, but you can't distinguish among them: Employee ValueProbability$55,0000.1$64,0000.1$73,0000.1$82,0000.1$91,0000.1$100,0000.1$109,0000.1$118,0000.1$127,0000.1$136,0000.1 The expected value of hiring one employee is ? Suppose you set the salary of the position equal to the expected value of an employee. Assume that employees will not work for a salary below their employee value. The expected value of an employee who would apply for the position, at this salary, is ? Given this adverse selection, your most reasonable salary offer (that ensures you do not lose money) is ? .
- If marginal revene is given as dTR/dQ = 8Q2 + 90Q + 300 What is the additional revenue proudctions is increased from 20 to 25? Is revenue maximized in this range?There are 50 workers in the economy in which all workers must choose to work a safe or a risky job. When it comes to accepting a risky job, Worker 1’s reservation price is $5; worker 2’s reservation price is $6, worker 3's reservation wage is $7, and so on. Assume there are exactly 12 risky jobs. (a) What is the equilibrium wage differential between safe and risky jobs? Which workers will be employed at the risky firm? (b) Suppose now that an advertising campaign, paid for by the employers who offer risky jobs, stresses the excitement associated with “the thrill of injury,” and this campaign changes the attitudes of the work force toward being employed in a risky job. Worker 1 now has a reservation price of $1, worker 2’s reservation price is $2, and so on. There are still only 12 risky jobs. What is the new equilibrium wage differential? c) What is the maximum the firm should be willing to pay for its ad campaign?49
- 1. | Consider Spence job market signaling model. A worker's type is 0 e{6, 9}, where the probability that 0 = 9 is equal 2 e (0, 1). The total number of workers equals N. The productivity of a worker in a job is . Each worker chooses a level of education e20.The cost of obtaining education level e is 3e/0. Reservation utility is 4 for every worker. All workers are price takers and the price of the final good produced is 1. Assume that firms are risk neutral and employment lasts for one year. Assume that there are two firms that compete by offering wages simultaneously and independently. (a) Find all separating equilibria and identify a Pareto superior separating equilibrium. Do not forget to specify the equilibrium wage scheme. (b) Calculate TS and find the value of society loss (DWL) for the best (Pareto superior) signaling equilibrium. (c) Find all values of 1 e (0, 1) under which prohibition of signaling results in a Pareto improvement in comparison with the best (Pareto superior)…QUESTION 16 Suppose workers can be divided into two groups: high and low skill workers. Let y be the number of years of college education of a worker. For workers in Group A (high skill workers) the cost of attaining an educational level y is CÃ(y)=$25y; for workers in Group B (low skill workers) the cost of attaining an educational level y is CB(y)=$65y. Employees will be offered $410 if they have y ≥ y*, where y* is an educational threshold determined by the employer. They will be offered $50 if they have y y* zIspart B D b) Which wage rate should the employer offer? Why? D 10 20 30 60 70 a) Which point is the most desirable one for the employer? Is it also attainable? Best Response •Isacast Wage Rate c) For which wage rates would the employee turn down a job offer? do1-7 19:2 91 6fc3.jp
- what does non-stationarity mean ?if any formulas are used please show themSuppose that workers have 4 levels of productivity. High is 12, middle is 6, low is 3, and trump is negative 1000. The value of time in leisure is half that of productivity. High and trump productivity workers are 10 percent of the labor force. Middle productivity is 30 percent and low productivity is 50 percent. What is the equilibrium wage? Is there adverse selection?