Suppose there are N applicants for a job, of which S are to be shortlisted
(S < N). A panel of P scrutineers decides on the shortlist. Each scrutineer
can vote for as many candidates as he/she wants, and the candidates
receiving the most votes are shortlisted.
What is the optimal number of votes for each scrutineer to cast? If they
vote for all the candidates, or alternatively if they vote for none, they
make no difference to the process. Obviously some intermediate number of
votes is the most influential, and I suspect the optimal number is S. Am I
right?
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Epidemiology & Public Health, Institute of Child Health, London WC1N 1EH, UK
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