A transfer from a richer individual to a poorer one seems to be the most intuitive and straightforward way of reducing income inequality in a society. However, can such a transfer reduce the welfare of the society? We show that a rich-to-poor transfer can induce a response in the individuals'...

We introduce a new class of generalized measures of relative deprivation. The class takes the form of a power mean of order p . A characteristic of the class is that depending on the value of the proximity-sensitive parameter p, the class is capable of accommodating both a decreasing weight (the...