Ranking scientists from the field of quantum game theory using p-index

The h-index is a very well known metric used to measure scientific throughput, but it also has well known limitations. In this paper we use a metric based on pagerank algorithm, which we call the p-index, to compare the performance of scientists. We use a real-world dataset to which we apply our analysis: a dataset of scientists from the field of quantum game theory. This dataset is cured by us for this study from Google Scholar. We show that whereas the popularly used h-index rewards authors who collaborate extensively and publish in higher volumes, the p-index rewards hardworking authors who contribute more to each paper they write, as well as authors who publish in high impact and well cited journals. As such, it could be argued that the p-index is a `fairer´ metric of the productivity and impact of scientists. Of particular note is that the p-index does not use the so called `impact factors´ of journals, the utility of which is debated ins scientific community. Rather, the p-index relies on the actual underlying citation network to measure the real impact of each paper. Furthermore, the p-index relies not only on the number of citations but also on the quality of citations of each paper. Using p-index, we highlight and compare the impact of real world scientists on the field of quantum game theory.