Abstract. The subject of this talk will be so-called Secretary Problems, (also known as Marriage, Dowry, or Best-choice Problems), and more generally, Optimal-Stopping Problems. The basic framework is that a sequence of random variables (stock prices, offers on a house, "test scores" for job applicants [eg for a secretarial position]) is being observed, and the objective is to decide when to stop in order to maximize the reward. The classical "no-information" secretary problem and its solution will be reviewed, along with game-theoretic extensions, analogs for "full-information and "partial-information" stopping, a few counterintuitive surprises, and several basic unsolved problems.
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