It must have a positive slope, and because the factor it measures cannot be negative it must be concave up and cannot rise above the line y = x, known as the line of perfect equality.  The area between it and the line of perfect equality is known as the Gini coefficient, and
It must have a positive slope, and because the factor it measures cannot be negative it must be concave up and cannot rise above the line y = x, known as the line of perfect equality.  The area between it and the line of perfect equality is known as the Gini coefficient, and at each point its y-value shows the cumulative percentage of a given asset owned by the bottom x percent of the sample.  First developed by its namesake American economist during the early-20th century, FTP, identify this construct from welfare economics used to illustrate income inequality.
It must have a positive slope, and because the factor it measures cannot be negative it must be concave up and cannot rise above the line y = x, known as the line of perfect equality.  
Lorenz Curve