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The Bruss and Duerinckx theorem for resource dependent branching processesstates that the survival of any society form is nested in an envelope formed bytwo extreme policies. The objective of this paper is to give a novelinterpretation of this theorem through the use of Lorenz curves. Thisrepresentation helps us visualize how the parameters interplay. Besides, as wewill show, it clarifies the impact of inequality in consumption.

Lorenz curves interpretations of the Bruss-Duerinckx theorem for resource dependent branching processes