We provide a simple proof of Foster's (1983) characterization of the Theil inequality index.

A match is a recursive zero-sum game with three possible outcomes: player 1 wins, player 2 wins or there is a draw. Play proceeds by steps from state to state. In each state players play a "point game" and move to the next state according to transition probabilities jointly determined by their...

We examine the problem of measuring the extent to which students with different income levels attend separate schools. Unless rich and poor attend the same schools in the same proportions, some segregation will exist. Since income is a continuous cardinal variable, however, the rich-poor...

We provide a simple proof of Foster's (1983) characterization of the Theil inequality index.

It is possible to partially order cities with two ethnic groups according to the Lorenz criterion. Similarly, it is possible to partially order cities according to the informativeness of neighborhoods about the ethnic groups of its inhabitants. We show the equivalence of these two orders for the...