Summary: Integre Technical Publishing Co., Inc. Mathematics Magazine 84:1 November 10, 2010 2:08 p.m. notes.tex page 48
48 MATHEMATICS MAGAZINE
Other variants of the secretary problem were studied later for partial orders (com-
plete binary tree , general partial order [5, 8]), for graphs and digraphs , and
threshold stopping times .
The game described in this paper could be generalized to allow p different types of
elements, with p > 2. If the objective is to "choose rarity" by stopping on an element
in the smallest set, an optimal strategy seems to be analogous to the one described in
the paper, but finding probabilities of winning is more challenging.
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