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654 PART 4 • Information, Market Failure, and the Role of Government
bonus is given by the line Qf = 30,000. The maximum bonus of $4000, which
is achieved at an output of 20,000, is less than the bonus that she could have
received by reporting feasible capacity correctly.18
Applications
Because the problem of asymmetric information and incentive design comes up
often in managerial settings, incentive schemes like the one described above arise
in many contexts. How, for example, can managers encourage salespeople to set
and reveal realistic sales targets and then work as hard as possible to meet them?
Most salespeople cover specific territories. A salesperson assigned to a
densely populated urban territory can usually sell more product than a salesperson assigned to a sparsely populated area. The company, however, wants
to reward all salespeople equitably. It also wants to give them the incentive to
work as hard as possible and to report realistic sales targets, so that it can plan
production and delivery schedules. Companies have always used bonuses and
commissions to reward salespeople, but incentive schemes have often been
poorly designed. Typically, salespeople’s commissions were proportional to
their sales. This approach elicited neither accurate information about feasible
sales targets nor maximum performance.
Today, companies are learning that bonus schemes like the one given by
equation (17.4) provide better results. The salesperson can be given an array
of numbers showing the bonus as a function of both the sales target (chosen by
the salesperson) and the actual level of sales. (The numbers would be calculated
from equation (17.4) or some similar formula.) Salespeople will quickly figure
out that they do best by reporting feasible sales targets and then working as
hard as possible to meet them.19
Recall from §14.1 that in a
perfectly competitive labor
market, firms hire labor to
the point at which the real