The economics of inequality
Evolution of inequality
Dr. Matthias Schnetzer
November 04, 2022
Increase
Decrease
Rising incomes in emerging economies
Stagnation of middle class in industrial countries
Booming global top 1%
\[ \beta = \frac{K}{Y} \approx \frac{s}{g} \]
The ratio of savings rate and economic growth (population + productivity growth) determines the wealth-to-income ratio in the long run.
\(s=10\%; ~g=3\% \rightarrow\) wealth-to-income: \(300\%\)
\(s=10\%; ~g=1.5\% \rightarrow\) wealth-to-income: \(600\%\)
Capital is back because low growth is back!
Capital share (\(\alpha\)) increases if the rate of return to capital \(r\) is larger than the growth of national income (from work) \(g\): \(r > g\)
\[ \alpha = r\beta = r\left(\frac{s}{g}\right) \]
When the rate of return on capital significantly exceeds the growth of the economy […], then it logically follows that inherited wealth grows faster than output and income. People with inherited wealth need save only a portion of their income from capital to see that capital grow more quickly than the economy as a whole.
Thomas Piketty (2014, 26)
PI 2159 Special Topics in Economic Policy | Winter term 2022/23