Evolution of information production processes and its relation to the lorenz dominance order

Abstract

We investigate the evolution and growth of information production processes (in short IPPs). An important role in this investigation is played by the Lorenz curve of concentration and the majorization poset. This leads to a number of relations between the total number of sources, the total number of items, the average production, and the maximum production of an IPP, when one or several of these quantities show an evolution in time. We also establish a relation between the 80/20 rule and the Lorenz dominance order. We conclude that Lorenz curves and the majorization poset are important tools in the investigation of evolution and growth.