Evolution of elite groups formed by delegating

We investigate the properties of elite groups (EG) which are formed and replenished by a “delegation” procedure - recruiting to the EG of elements with the highest rank from some external set. The EG performance is evaluated by the utility function. In the process of operation, elements with certain values of the parameter are retired from the EG. As a result of a succession of replacements of retired elements by “delegates”, the probabilistic properties and the utility of the EG converge to a limit and the evolution of the group ends. The dependence of the asymptotic properties of the EG on the rules of evolution is investigated. The possibility of guiding the evolution of the group toward a desired limiting state is demonstrated.