Assume we tax both labor markets with the same proportion
%. The initial intuition is that rich people will pay more taxes than the poor because a progressive tax increases as income rises. However, upon examining the deadweight loss (DWL), we can see that the DWL for the rich is much larger than that for the poor, indicating inefficiency when imposing a progressive tax.
Let’s calculate both DWLs:
For the rich, the DWL is
$-hours, and for the poor, it is
$-hours.
As we increase the inequality between the rich and the poor, we can observe that the difference in DWL also increases. This indicates that taxing the rich may not necessarily be efficient.
A Note on Theory: Equity and Efficiency in Progressive Taxation
A progressive tax system aims to reduce income inequality by placing a higher tax burden on those with higher incomes, promoting a more equitable wealth distribution. While this approach can generate revenue for government programs, critics argue that excessive taxes on the rich may discourage investment and hinder economic growth. Striking a balance between equity and efficiency is crucial in implementing a progressive tax system.