  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.
