Intermediate Microeconomics · free preview

Endowments, Labor Supply, and Backward Bending

With an endowment the budget passes through what you own, a wage rise pivots it there, adding an endowment income effect to the Slutsky ledger, and subsistence preferences make leisure rise with the wage, bending labor supply backward.

1. Budgets through the endowment

Budgets through the endowment

2. A neutral benchmark

A neutral benchmark

3. Backward bending with subsistence

Backward bending with subsistence

4. The policy surface

The policy surface

5. The endowment budget

A worker has 24 hours, no other income, wage w, consumption price 1. What is the budget?

6. The neutral benchmark

For u equal to C L with the endowment budget, leisure stays at 12 for every wage. Why?

7. The bending mechanism

In the subsistence example, why does labor fall from 18 to 16.6 when the wage rises from 10 to 13?

8. Overtime versus base wage

Why can overtime premiums raise hours even when a base-wage rise would lower them?

9. Leisure at a wage

For u equal to (C minus 120) times L with the endowment budget, compute leisure L at w equals 10, and write the number.

10. The bend point

Same worker, compute leisure at w equals 15, and write the number rounded to one decimal.

11. The subsistence worker at thirteen

For u of (C minus 120) times L, leisure L equals 12 minus 60 over w. What is leisure at wage 13, to one decimal?

12. The neutral worker at any wage

For u equal to C times L with 24 hours and price 1, what happens when the wage doubles from 10 to 20?

13. A very high wage

For the subsistence worker, L equals 12 minus 60 over w. What happens as the wage rises to 60 and beyond?

14. Reading the endowment budget

With 24 hours, wage 10, consumption price 1 and no other income, what are the budget's intercepts?

15. Labor at wage ten

For u of (C minus 120) times L, compute labor hours at w of 10, and write the number.

16. Leisure at wage twenty

Same subsistence worker, compute leisure L at w of 20, and write the number.

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