The Social Security system provides income for people over age 65

The Social Security system provides income for people over age 65.

If a recipient of Social Security decides to work and earn some income, the amount he or she receives in Social Security benefits is typically reduced.
a. How does the provision of Social Security affect people’s incentive to save while working?
b. How does the reduction in benefits associated with higher earnings affect people’s incentive to work past age 65?