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EC311 · Intermediate Microeconomics

EC311 / TOPIC 11

4.3 Labor and leisure

Why can a higher wage increase or decrease hours worked?

The wage is both the price of leisure and hourly income, creating opposing substitution and income effects.

Follow the cause and effect

  1. Write c=M+w(T−R) and impose 0≤R≤T.

  2. Solve the choice of c and R under preferences.

  3. When w changes, separate leisure substitution from the income effect.

The model you are using

KEY MODEL
c = M+w(T−R)
U=√(cR)
R*=(M+wT)/(2w), capped at T

Conditions for this model

Constant hourly wage, continuous hours, 0≤R≤T and M≥0.

The exam trap

Do not assume labor supply must slope upward everywhere; the income effect may dominate at high income.

Connect the reasoning to the graph

What changes

  • A wage increase pivots the budget around M on the consumption axis and raises full income.

What stays fixed

Constant hourly wage, continuous hours, 0≤R≤T and M≥0.

Keep these conditions throughout the comparison; change only what the case above specifies.

What to inspect

When w changes, separate leisure substitution from the income effect.

Compare before and after, and locate the conclusion on the graph.

5 MINUTES · TRANSFER THE IDEA

Can you explain it without the lesson?

Explain how higher nonlabor income affects leisure and work when leisure is normal.

Lesson references

  • Varian, Intermediate Microeconomics, 8th ed., pp. 173, 175
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