We provide characterizations of a class of rank-mobility measures and of a specific member of this class. These measures are based on the Kemeny distance for orderings. We use the well-known replication-invariance property to ensure that our measures are applicable in variable-population...

We propose and characterize a generalization of the classical linear index of individual deprivation based on income shortfalls. Unlike the original measure, our class allows for increases in the income of a higher-income individual to have a stronger impact on a person’s deprivation the...