H. Dawid, G. Feichtinger, J. Goldstein, V.M. Veliov:
"Keeping a Learned Society Young";
The ageing of learned societies is a problem in many national academies. Faced with rising life expectancy, particularly for older persons, the average age of academy members increases. Another reason for \overageing" is an increase in the age at election.
In a constant sized organization the annual intake is strictly determined by the number of deaths and a statutory retirement age. This leads to a fundamental dilemma of two con°icting goals of many learned societies: to keep a young age structure while guaranteeing a high recruitment rate. We derive an optimal recruitment policy which is bimodal, i.e. it shifts the recruitment partly to younger ages and partly to older ages, decreasing in this way the middle-age recruitment. Although the optimization problem explicitly involves only the average age and the recruitment rate as objectives, the
methodology allows to take implicitly into consideration all other objectives (formal or informal) used in the election practice in reality.
fixed-size population, age-specific recruitment policy, optimal control
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