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Publications in Scientific Journals:

G. Feichtinger, D. Grass, M. Winkler-Dworak:
"The Mathematics of Ageing";
Central European Journal of Operations Research, * (2019), 29 pages.



English abstract:
Age is a crucial variable in social sciences and particularly in population dynamics. In the first part of this paper, a two-state optimal control model is proposed to explain the substantial variations of scientific production over the life cycle of
researchers. We identify conditions under which typical hump-shaped age-specific patterns of scientific production turn out to be optimal for individual researchers. The second part of the paper deals with the ageing of learned societies. In a nutshell, the dilemma of a learned society is that keeping young, i.e. electing young entrants, has the drawback of reducing the replacement rate of members. It turns out that electing a mix of young and old members delivers the optimal solution of the problem, i.e. guaranteeing a young age structure, while ensuring a high recruitment rate.

Keywords:
Age-structured models, optimal control, scientific production over the life cycle, optimal recruitment of learned societies.


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s10100-019-00661-w


Created from the Publication Database of the Vienna University of Technology.