On Multiple Choice Secretary Problems

Published Online:https://doi.org/10.1287/moor.19.3.597

Two secretary problems based on relative rank are considered, in which the decision maker has any fixed number of choices. In the first the payoff depends in an arbitrary way on acquisitions of ranks 1 and 2; in the second the aim is to maximise the probability of obtaining the best 3 objects. In each case the existence of an optimal selection policy of time threshold type is established.

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