28. The value of a worker’s marginal product is $50 per hour for high-ability workers and $15
per hour for low-ability workers. The preferences of high-ability workers correspond to the utility
function
UH
(
E
,
W
) =
W
– 4
E
, and the preferences of low-ability workers correspond to the utility
function
UL
(
E
,
W
) =
W
– 10
E
. By law, everyone is required to attend at least ten years of school.
Three-fifths of the population has low ability, and two-fifths has high ability. What is the most
efficient separating equilibrium?
D.
EL
= 10;
EH
= 10
29. The value of a worker’s marginal product is $50 per hour for high-ability workers and $15
per hour for low-ability workers. The preferences of high-ability workers correspond to the utility
function
UH
(
E
,
W
) =
W
– 4
E
, and the preferences of low-ability workers correspond to the utility
function
UL
(
E
,
W
) =
W
– 10
E
. By law, everyone is required to attend at least ten years of school.
Three-fifths of the population has low ability, and two-fifths has high ability. Would it be Pareto
efficient for the government to ban schooling beyond 10 years rather than allow a separating
equilibrium?
A. Yes, because both
UL
and
UH
would rise.