Transcript Lecture 9

PPA 723: Managerial
Economics
Lecture 9:
Applications of Consumer Choice
Managerial Economics, Lecture 9: Applications of Consumer Choice
Outline
The Labor-Leisure Choice
Application to welfare programs
Measuring Consumer Welfare
The concept of consumer surplus
Managerial Economics, Lecture 9: Applications of Consumer Choice
Deriving Labor Supply Curves
Use consumer-maximization diagram
with income (= all goods consumed) on
the vertical axis and leisure (= nonwork) on the horizonal axis.
Income equals the wage times hours
worked.
The wage rate is the price of leisure.
Managerial Economics:
Consumer Choice
(a) Indifference Curves and Constraints
Y, Goods
per day
Time constraint
I2
L2
–w2
I1
Figure 5.8
Demand for Leisure
1
e2
Y2
L1
–w 1
1
e1
Y1
0
24
N 2 = 12
H2 = 12
N1 = 16
H1 = 8
24
0
N, Leisure hours per day
H, Work hours per day
(b) Demand Curve
w, Wage
per hour
E2
w2
E1
w1
Demand for leisure
0
N2 = 12
H2 = 12
N 1 = 16
H1 = 8
N, Leisure hours per day
H, Work hours per day
Managerial Economics, Lecture 9: Applications of Consumer Choice
Supply Curve of Labor
The supply curve of hours worked
(labor) is the “mirror image” the of
demand curve for leisure:
Every extra hour of leisure implies one
fewer hours of work.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Figure 5.9 Supply Curve of Labor
(a) Leisure Demand
w, Wage
per hour
w2
w1
0
(b) Labor Supply
Demand for leisure
E2
E1
12
16
N, Leisure hours per day
Supply of work hours
w, Wage
per hour
w2
e2
e1
w1
0
8
12
H, Work hours per day
Managerial Economics, Lecture 9: Applications of Consumer Choice
Income and Substitution Effects
A wage increase causes both income
and substitution effects that alter an
individual's demand for leisure and
supply of hours worked.
The substitution effect leads to more
work.
The income effect leads to more
leisure.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Figure 5.10 Income and Substitution Effects of a Wage Change
Y, Goods
per day
Time constraint
I2
L2
I1
L*
e2
e*
L1
0
24
e1
N*
H*
N1 N 2
H1 H 2
Substitution effect Total effect
Income effect
24
0
N, Leisure hours per day
H, Work hours per day
Managerial Economics, Lecture 9: Applications of Consumer Choice
Leisure Choice with a Welfare Guarantee
Time Constraint
Goods per
Day, Y
-wage
1


0
L1
Guarantee
L2
 Leisure Hours per Day, L
 Work Hours per Day
Managerial Economics, Lecture 9: Applications of Consumer Choice
Leisure Choice with a Welfare Guarantee and “Tax” Rate
Goods
per
Day, Y
Time Constraint
Slope = -w(1-t)



Substitution Effect
0
Guarantee
L1
Income Effect
L2
L3
 Leisure Hours per Day, L
 Work Hours per Day
Managerial Economics, Lecture 9: Applications of Consumer Choice
Leisure Choice with an EITC
Goods
per
Day, Y
Time Constraint


Substitution Effect
0

L3
Income Effect
Slope = -w(1+e)
L1 L2
 Leisure Hours per Day, L
 Work Hours per Day
Managerial Economics, Lecture 9: Applications of Consumer Choice
Gross Income vs. Earned Income
Source: Clifford F. Thies on the mises.org blog.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Implicit Marginal Tax Rates
Source: Clifford F. Thies on the mises.org blog
Managerial Economics, Lecture 9: Applications of Consumer Choice
Welfare Programs: Lessons
Income guarantees raise recipients’ utility
but decrease their work effort.
Income guarantees with benefit reduction
rates decrease work effort even more.
Training programs, child care credits, and
the EITC raise utility while boosting work
effort.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Consumers’ Welfare
Measuring welfare with utility functions
is not practical for 2 reasons:
we don't know individuals' utility functions
we cannot compare utilities across
individuals
Instead, we measure consumer welfare
in dollars of willingness to pay
easier to measure than utility
can compare dollars across individuals
Managerial Economics, Lecture 9: Applications of Consumer Choice
Measuring Consumer Welfare
 Consumer surplus (CS) from a good =
 benefit a consumer gets from consuming it (in $'s)
minus its price
 how much more you'd be willing to pay than you
did pay for a good
 A demand curve contains this information.
 A demand curve reflects a consumer's
marginal benefit= the amount a consumer is
willing to pay for an extra unit.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Graphing an Individual's CS
For each quantity, the consumer surplus
is the difference between willingness to
pay for another unit (the individual’s
demand curve) and actual payment (the
price)
Total consumer surplus is the sum of
these differences across all quantities
consumed.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Figure 9.1a Consumer Surplus
p, $ per magazine
5
(a) David’s Consumer Surplus
a
b
4
CS1 = $2 CS2 = $1
c
3
Price = $3
2
E 1 = $3
E2 = $3
E 3 = $3
Demand
1
0
1
2
3
4
5
q, Magazines per week
Managerial Economics, Lecture 9: Applications of Consumer Choice
Graphing Total CS in a Market
For each quantity, the consumer surplus
is the difference between willingness to
pay for another unit (the market demand
curve) and the market price
Total consumer surplus is the sum of
these differences across all quantities
consumed.
Managerial Economics, Lecture 9: Applications of Consumer Choice
’
Figure 9.1b Consumer Surplus
p, $ per
trading card
Consumer
surplus, CS
p1
Expenditure, E
Demand
Marginal willingness to
pay for the last unit of output
q1
q, Trading cards per year
Managerial Economics, Lecture 9: Applications of Consumer Choice
Concluding Comment on CS
As we will see, consumer surplus is a
key concept in policy economics.
It forms the basis for benefit-cost
analysis.
CS is used to determine whether a
policy is efficient and to measure the
distortion in behavior caused by a tax.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Producer Surplus
 Suppliers’ gain from participating in a
market, too.
 Their surplus is the difference between
the amount for which a good sells and
minimum amount necessary for the
seller to produce that good.
Managerial Economics, Lecture 9: Applications of Consumer Choice
Measuring PS Using the Supply Curve
Producer surplus for a competitive firm
or market is:
the area above supply curve (which, as we
will later learn, is the MC curve) and below
price line up to quantity sold
Managerial Economics, Lecture 9: Applications of Consumer Choice
Figure 9.3 Producer Surplus
(a) A Firm’s Producer Surplus
Supply p , Price per unit (b) Market Producer Surplus
p, $ per unit
Market supply curve
4
p
PS1 = $3 PS 2 = $2 PS 3 = $1
Market price
3
p*
2
Producer surplus, PS
1
MC1 = $1 MC2 = $2 MC3 = $3 MC4 = $4
0
1
2
3
4
q, Units per week
Variable cost, VC
Q*
Q, Units per year
Managerial Economics, Lecture 9: Applications of Consumer Choice
Producer Surplus and Social Welfare
 Some analysts define social welfare as consumer
surplus plus producer surplus.
 Others focus exclusively on consumer surplus.
 This is an issue in normative analysis, that is, it
involves value judgments.