The earliest published example of a network generated by a rich-get-richer process is Prices network of citations between scientific papers.Prices network may be viewed as a directed graph each of whose edges corresponds to a citation from a paper to another.We develop a new model mixing random and preferential attachment effects and derive a Zipfs ranked distribution.The latter says that the probability of a link (a citation or a directed edge) being pointed to vertex i,the ith most advantageous vertex,is approximately a power function of i.