In the first problem solving scenario, consider a Greek island with ten inhabitants. Answer the questions below. a) Plot the Lorenz curve for the income distribution: (5, 8, 15, 18, 23, 35, 48, 52, 66, 80) b) The government plans to implement a 10% flat tax on income for each inhabitant of the island. Plot the new Lorenz curve and verify if this policy has reduced the inequality among the population. Argue c) Imagine that after one year the government decides to implement instead a lump-sum tax equal to 10 for all inhabitants with an income above 30. Plot the new Lorenz curve and verify if this policy has reduced the inequality among the population. Argue d) Calculate the Giní index and the Sen index for the three income distributions used in parts (a), (b) and (c) when the poverty line is z=14. Discuss the values obtained. e) Is it possible for a government to pursue a poverty reduction target, but at the same time ending up increasing inequality? Justify your answer.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter12: Income Distribution, Poverty, And Discrimination
Section: Chapter Questions
Problem 17SQ
icon
Related questions
Question
In the first problem solving scenario, consider a Greek island with ten inhabitants. Answer the questions below.
a) Plot the Lorenz curve for the income distribution:
(5, 8, 15, 18, 23, 35, 48, 52, 66, 80)
b) The government plans to implement a 10% flat tax on income for each inhabitant of the island. Plot the new Lorenz curve and verify if this policy
has reduced the inequality among the population. Argue
c) Imagine that after one year the government decides to implement instead a lump-sum tax equal to 10 for all inhabitants with an income above
30. Plot the new Lorenz curve and verify if this policy has reduced the inequality among the population. Argue
d) Calculate the Giní index and the Sen index for the three income distributions used in parts (a), (b) and (c) when the poverty line is z=14. Discuss
the values obtained.
e) Is it possible for a government to pursue a poverty reduction target, but at the same time ending up increasing inequality? Justify your answer.
Transcribed Image Text:In the first problem solving scenario, consider a Greek island with ten inhabitants. Answer the questions below. a) Plot the Lorenz curve for the income distribution: (5, 8, 15, 18, 23, 35, 48, 52, 66, 80) b) The government plans to implement a 10% flat tax on income for each inhabitant of the island. Plot the new Lorenz curve and verify if this policy has reduced the inequality among the population. Argue c) Imagine that after one year the government decides to implement instead a lump-sum tax equal to 10 for all inhabitants with an income above 30. Plot the new Lorenz curve and verify if this policy has reduced the inequality among the population. Argue d) Calculate the Giní index and the Sen index for the three income distributions used in parts (a), (b) and (c) when the poverty line is z=14. Discuss the values obtained. e) Is it possible for a government to pursue a poverty reduction target, but at the same time ending up increasing inequality? Justify your answer.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Recommended textbooks for you
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning