1) Suppose there are two types of economics majors, “stars”
and “everyone else” and both types would
like jobs at a consulting company. Productivity equals
$100,000 for the stars, and $50,000 for everyone
else. 80 percent of economics majors are "everyone else”
(meaning not stars) and 20% are stars.
Suppose none of the screening methods consulting companies use
are effective. However, workers may
signal their ability by earning an MBA at an elite business
school. The cost is 30,000 for the stars, and
60,000 for everyone else. All firms pay workers their
productivity (if there is signaling), or their expected
productivity (if there is no signaling). Workers are employed
for only a single period after being hired.
a. How is it possible that the cost of an MBA differs by
ability? Tippie’s website advertises
in-state tuition at Iowa for the full-time MBA program as
$40,000 and does not
distinguish between ability.
b. Is the MBA an effective signal? Discuss the three
criteria.
c. Now suppose the population is evenly divided between stars
and ‘everyone else’. Does
this change your answer to (b)?
d. Discuss your results to (b) and (c). Intuitively, why does
the percent of the population
that is a star impact whether getting an MBA is a beneficial
choice for a star?
2) Suppose the consulting company is trying to create a job
offer so that only stars will apply. The firm
plans to create a probationary period during which time new
hires earn $X. After an evaluation period, it
will promote the stars and pay them $Y. It will let go of
everyone else. The probationary period is 1 year
and candidates who are promoted will stay for 1 additional
year. Assume all applicants can easily get a
job for $60,000 at other firms.
In order for the offer to induce signaling, suggest a value
for X and a value for Y. (Do not worry about the
firm maximizing profit, just focus on the signal generating a
separating equilibrium.)
In order for the above job offer to induce signaling, what
assumptions are we implicitly making? Why
might low quality candidates accept the job offer? Why might
high quality candidates not accept the offers?