But the simple distribution within the two-group society allows a simple and standardized interpretation of inequality coefficients. The three inequality coefficients are not my invention. The Reserve coefficient is the Demand coefficient with swapped input data. The mapping is not my invention either, as shown by MacRae 's transformation of the Theil coefficient. Too often entropy measures are described and used without explaining entropy and osmosis.
Hints pointing to better interpretations are welcome.
Additionally to an inequality measure, which may be not easy to comprehend for everybody, this simple equivalent society can be used to give an easy to understand example to show, what kind of distribution can be associated with a given inequality measure. This quite good approximation is the inverse function of the function in the previous line. But entropy measures can help us to find a virtual society with a distribution of resources between two groups only. Individuals have devine forces and do not have to deal with random events. Everyone can determine the own share of wealth through own work.