a. Does the market provide an efficient amount of effort: i. No, too little effort. ii. None of these is correct. iii. No, too much effort. iv. Yes   b. The teacher of the course is considering to implement a tax-cum-subsidy policy in order to enhance effort in the course. Suppose he seeks advice from you. He proposes to subsidize effort at the rates, meaning that putting G, units of time into working on the problem sets will feel less, concretely, only like putting (1-s)G, units of time. In order to subsidize effort, he will tax students' time at the rate t, so the total available time will become(1-1)W₁. What tax-subsidy combination would you propose in order to implement the social optimum while keeping budget balance? i. t=1/3 and s=1/2 ii. t=1/4 and s=1/3 iii. t=1/3 and s=1/3 iv. t=1/4 and s=1/2

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
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a. Does the market provide an efficient amount of effort:

i. No, too little effort.

ii. None of these is correct.

iii. No, too much effort.

iv. Yes

 

b. The teacher of the course is considering to implement a tax-cum-subsidy policy in order to enhance effort in the course. Suppose he seeks advice from you. He proposes to subsidize effort at the rates, meaning that putting G, units of time into working on the problem sets will feel less, concretely, only like putting (1-s)G, units of time. In order to subsidize effort, he will tax students' time at the rate t, so the total available time will become(1-1)W₁. What tax-subsidy combination would you propose in order to implement the social optimum while keeping budget balance?

i. t=1/3 and s=1/2

ii. t=1/4 and s=1/3

iii. t=1/3 and s=1/3

iv. t=1/4 and s=1/2

Maaike and Pim are VU students following the master course Advanced Microeconomics. Handing-in
the problem sets is obligatory and each group of students like the one formed by Maaike and Pim is
rewarded with a common mark for their work. This implies that Maaike and Pim individual efforts on
solving the problems constitute public goods.
Let us assume that Maaike and Pim derive similar utility from free time (F) and high marks (G) in the
course according to the Cobb-Douglas utility function:
UM(FM, G) = FG3,
U (Fp, G) = F3G\!3
where FM and Fp indicate the free time enjoyed by Maaike and Pim, respectively, and G is the joint
effort they put into the working of the problem sets.
For simplicity let us assume that G is simply the outcome of giving up free time, so the production
function of G is simply:
G = FG,
where FG denotes the total amount of free time put in by the individuals (i.e. FG
FG + F).
Let us denote the total amount of time available to the individuals by W. Obviously,
W = WM + W p.
Transcribed Image Text:Maaike and Pim are VU students following the master course Advanced Microeconomics. Handing-in the problem sets is obligatory and each group of students like the one formed by Maaike and Pim is rewarded with a common mark for their work. This implies that Maaike and Pim individual efforts on solving the problems constitute public goods. Let us assume that Maaike and Pim derive similar utility from free time (F) and high marks (G) in the course according to the Cobb-Douglas utility function: UM(FM, G) = FG3, U (Fp, G) = F3G\!3 where FM and Fp indicate the free time enjoyed by Maaike and Pim, respectively, and G is the joint effort they put into the working of the problem sets. For simplicity let us assume that G is simply the outcome of giving up free time, so the production function of G is simply: G = FG, where FG denotes the total amount of free time put in by the individuals (i.e. FG FG + F). Let us denote the total amount of time available to the individuals by W. Obviously, W = WM + W p.
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