Anna Cena, Marek Gagolewski, Grzegorz Siudem, Barbara Żogała-Siudem

We present an agent-based model which explains the citations obtaining process based on the preferential attachment rule. In fact, the model is a variation of the recently discussed Ionescu-Chopart model. The simulation of the model and its exact solution not only allows to get the citations vectors (with an agreement with the real data) for each scientists based – among others – on the number of their publications and the total number of citations they received, but also posseses a very simple and appealing interpretation of its parameters. With this model we try to explain what Hirsch’s and other indexes realy measure.