Recursive index for assessing value added of individual scientific publications

An aggregated recursive K-index is proposed as a new scientometric indicator of added value and scientific research output of individual publications. This index can be used instead of or in addition to the H-index (J.E. Hirsch. An index to quantify an individual's scientific research output, arXiv:physics/0508025). In particular, it is proposed to switch from a pure strategy for assessing the quality and effectiveness of R&D using the H-index (Hirsch index) to a mixed strategy (in the context of publication activity as a combination of cooperative and noncooperative games) using the K-index on subnational and H-index on international or differentiated levels. In the context of a hybrid strategy of the scientist's payoff functions. This transition is correct and in demand for a number of national scientific systems with limited financial, material, infrastructural and linguistic (in terms of the English language) potential. Scientific systems with highly developed indigenous (autochthonous) characteristics are also needed in some scientific areas.