It is obvious that holding city population constant, differences in cities across the world are enormous. Urban giants in poor countries are not large using measures such as land area, interior space or value of output. These differences are easily reconciled mathematically as population is the...

When measuring income inequality over long periods of time, accounting for population and productivity growth is important. This paper presents three alternative measures of top income shares that more explicitly account for population and income growth than the standard measure. We apply these...