内容正文:
INCOME REDISTRIBUTION: CONCEPTUAL ISSUES
Chapter 12
1
The Distribution of Money Income Among Households
Source: US Bureau of the Census [2011a]
Note: These figures do not include the value of in-kind transfers.
12-2
2
Who is Poor?
Source: US Bureau of the Census, [2012a]
12-3
3
U.S. Poverty Rate
Source: US Bureau of the Census [2012a]
12-4
4
Interpreting the Distributional Data
Issues
Poverty Line: fixed level of real income considered enough to provide a minimally adequate well-being
Census income on which poverty level is based consists only of family’s cash receipts
In-kind transfers
Official figures ignore taxes
Income measured annually
Consumption data may provide better assessment of well-being
Problems defining unit of observation
12-5
5
Rationale for Income Distribution
Simple Utilitarianism
Utilitarian Social Welfare Function:
W = F(U1, U2, …, Un)
“Promote Greatest Good for Greatest Number”
Additive Social Welfare Function
W = U1 + U2 + … + Un
Assumptions
1. Individuals have identical utility functions that depend only on their incomes
2. Utility functions exhibit diminishing marginal utility of income
3. Total amount of income is fixed
0
12-6
6
Review General Concept of Social Welfare Function
Utilitarianism simply means W a function of people’s utility
Conventional Welfare Economics posits W = F(U1, U2, …, Un), but this so general it doesn’t tell us much
Utilitarian's believed in additive welfare function, although W = F( ) is called a utilitarian welfare function
Implications for Income Inequality
Equalizing income will increase W
Paul’s marginal utility
0
Peter’s marginal utility
Paul’s income
Peter’s income
0
0’
MUPaul
MUPeter
a
e
c
d
f
I*
b
Take ab from Peter and give to Paul
Paul gains this much utility
Peter loses this much utility
This is the net gain to society
Social welfare maximized
12-7
7
The Maximin Criterion
Social Welfare Function
W = Minimum(U1, U2, …, Un)
Maximin criterion - No