According to this principle, inequality should decrease more in response to a progressive transfer of income (that is, from a wealthier household to a poorer one) between poor individuals than when the transfer is between rich individuals. That is why the measure should be complemented with other indicators that meet this property, such as the Theil and Atkinson indices. Nevertheless, while the Gini coefficient and the Atkinson index take values in the range of zero to 1 (where zero is absolute equality and 1 is absolute inequality), the maximum Theil index value is the logarithm of population size, which exceeds the value 1.