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ECON 151 Spring 2023

Problem Set 3 ANSWERS

Problems based on Ehrenberg, Smith, and Hallock 14e (2021):

Topic Question Points

10. Immigration RQ. 10.8 4 P. 10.2 8 P. 10.4 10


12. Gender, Race, Ethnicity RQ.12.9 8

13. Unions P.13.2 4

14. Unemployment RQ.14.2 4 RQ.14.3 4 P.14.2 4


15. Inequality RQ.15.4 4

16. Trade and wages RQ.16.4 4 . 54

Did you work with other students? List them below:

Please type your name as an affirmation of the Honor Code at the University of California, Berkeley.

“As a member of the UC Berkeley community, I act with honesty, integrity, and respect for others.”

Type your name:

RQ.10.8 [4 points] Consider two immigrant receiving countries that are identical except in one  way: for religious reasons, country A prohibits working, driving, and other activities by women,    while country B has no such prohibitions. Otherwise, immigrants to either country are free to      arrive, work, send remittances, and leave after several years if they wish. Country A and country B have the same labor demand curves, for example, and observationally identical stocks of        native workers, capital, and technology.

Suppose in immigrant sending countries, there is an available but not unlimited pool of potential immigrants at prime working ages, ages 25-64, who also have formed family relationships as is typical. Not all are partnered, but many are.

a.   [2 points] If there were no prohibitions on activities by women in country A, what would you expect to be true in equilibrium about the wages paid to immigrant workers in        country A and country B, call them wA and wB ?

You would expect to see the same wages paid to immigrant labor in both countries. This   would result when immigrants can access either country with equal ease; immigrants would sort toward whichever wage is higher until it falls to the same level as the other wage.

b.   [2 points] With the restrictions on women’s activities, what would you expect to be true in equilibrium about the wages paid to male immigrant workers in country A and country B, call them wmA and wmB ? Recall the upshots of Chapter 8 about compensating wage        differentials.

If there are restrictions on womens activities in one country but not the other (which is rare    but still exists even today), and if the two countries are otherwise identical in their regulations and labor demand curves (which is less plausible, but it is what we are assuming here), then working immigrants in country A, who must be male, will likely earn a wage premium relative to country B: wmA > wmB . This is because workers in country A must either leave any female   partners, spouses, and children behind, or subject them to limitations. Because these             limitations are not global, it is reasonable to assume they are a binding constraint on well-      being and thus a hardship, kind of like other undesirable characteristics of jobs.

P.10.2 [8 points] Suppose that the demand for rough laborers is

LD  = 100 – 10 W

where W = the wage in dollars per hour and L = the number of workers. Suppose labor is        supplied inelastically, meaning that the labor supply curve is vertical at the number of workers.

Suppose immigration increases the supply of rough laborers from 50 to 60.

(a) [2 points] Sketch out labor demand and labor supply in this market, and label some important numbers like the y-intercept.

(b) [2 points] What are the returns to the immigrants themselves?

Immigrants earn the $4 wage, and there are 10 units of them. (Maybe thousands; it is not


important.) Thus they earn a total of $40.

(c) [2 points] What happens to the returns to native rough labor? Be specific.

The wage paid to rough labor” (which sounds like a badly translated name of a foreign- language cartoon) has fallen from $5 to $4. Before immigration occurred, the 50 native  laborers earned $5 for a total of $250. After immigration, they earn a total of $200.

(d) [2 points] What happens to the returns to other factors? Be specific. (Recall that other  factors earn the rest of GDP, and GDP is the total area under the labor demand curve.)

Other factors earn the triangle, which originally was $5 tall and 50 wide, for a total area of $125 before immigration. After immigration, the triangle is $6 tall and 60 wide, for a total area of $180. The increase of $55 consists of the $50 redistributed from domestic labor plus the    tiny triangle of $5.

P.10.4 [10 points] The table below shows labor demand, native labor supply, and immigrant     labor supply in a labor market. “Demand” is the number (in thousands) of employees that firms  would be interested in hiring at particular wages. “Domestic supply” is the number (in                  thousands) of native workers who are interested in working in the occupation at particular           wages, and “immigrant supply” is the number (in thousands) of immigrants who are interested in working at particular wages.

Immigrant labor supply is inelastic and constant, while native labor supply is not. Total labor supply is the sum of native labor supply and immigrant labor supply. The last column is left blank for the user to fill in.

Wage

Labor

demanded

Native labor

supplied

Immigrant labor

supplied

Total labor supplied

6

30

22

4

26

8

29

23

4

27

10

28

24

4

28

12

27

25

4

29

14

26

26

4

30

16

25

27

4

31

18

24

28

4

32

20

23

29

4

33

(a) [2 points] Graph the labor market diagram, showing labor demand, native labor supply, and total labor supply.

(b) [2 points] What is the equilibrium wage rate before immigration? How many workers would be hired?

The situation before immigration is shown by the intersection of the blue and gold lines. The equilibrium wage must have been w = 14. Twenty-six workers were hired.

(c) [2 points] What is the equilibrium wage rate after immigration? How many workers would be hired? How many domestic workers would be hired? How many immigrant workers    would be hired?

The situation before immigration is shown by the intersection of the gray and gold lines. The equilibrium wage must have become w = 10. Twenty-eight workers were hired.

(d) [4 points] Has immigration caused a change in the number of domestic workers hired? What was the change, if any? Why did the change, if any, occur?

Yes, immigration results in a reduction in employment among native workers, because labor demand slopes down, immigrants supply labor inelastically, and natives have an upward      sloping labor supply curve. The arrival of immigrants pushes the wage down to w = 10, and that means that 24 native workers are willing to work, down 2 from 26 before immigration.

RQ.12.9 [8 points] Since the end of the 19th century, women have lived longer than men on     average. Suppose an employer hired men and women, paid them the same wage for the same  job, and offered a defined benefit pension, which pays a constant amount each month after      retirement, until the worker’s death. Workers had to contribute to the pension fund in order to     receive it in retirement, and the employer required women either (1) to contribute a larger           amount per paycheck toward the pension, or (2) to take a smaller pension benefit once retired.  The employer otherwise would face paying out more of the pension fund to women than to men, on average, because women lived longer after retirement.

According to a decision by the Supreme Court, Los Angeles Dept. of Water and Power v. Manhart, 435 U. S. 702, commonly  known as Manhart, the employer was guilty of gender        discrimination, prohibited under Title VII