The classic secretary problem's solution goes like this: Let us say there are [math] n [/math] applicant's in all. The Infinite Secretary Problem Gianini, Jacqueline and Samuels, Stephen M., Annals of Probability, 1976 Magnetized Kepler Problems in Higher Odd Dimensions Meng, Guowu, , 2014 The Classical Magnetized Kepler Problems in Higher Odd Dimensions Meng, Guowu, Journal of … The Secretary Problem also known as marriage problem, the sultan’s dowry problem, and the best choice problem is an example of Optimal Stopping Problem.. Key words and phrases: Secretary problem, marriage problem, search prob- lem, relative ranks, stopping times, minimax rules. Annals of Probability, Vol. (discovered by Jacob Bernoulli). If you have a disability and are having trouble accessing information on this website or need materials in an alternate format, contact web-accessibility@cornell.edu for assistance.web-accessibility@cornell.edu for assistance. Thomas S. Ferguson, Optimal Stopping and Applications, retrieved on 21 June 2007; Thomas S. Ferguson, "Who solved the secretary problem?" If you have 30 days to hire a new full-stack engineer and you can meet with 10 candidates, you should start hiring after the 3rd candidate. The cardinal payoff variant maximizes the expected value of the hire. ... reject the first 37 percent … "Sum the odds to one and stop." The Secretary Problem is a famous example of this dilemma at work. Imagine you're interviewing number of secretaries for one position. INTRODUCTION In the late 1950's and early 1960's there appeared a simple, partly recreational, problem known as the secretary problem, or the marriage problem, or the dowry problem, that made its way around the mathe- 4.,282–296, (1989) F. Thomas Bruss. This problem can be stated in the following form: Imagine an administrator who wants to hire the best secretary out of n rankable applicants for a position. The problems were the worst in Detroit, where discrepancies meant officials couldn’t recount votes in 392 precincts, or nearly 60 percent. Statistical Science, Vol. 28, 1384–1391,(2000); F. Thomas Bruss. The figure of 37 percent keeps appearing because it is the ratio 1⁄e, where e is the exponential number 2.718281828 … (discovered by Jacob Bernoulli). "The art of a right decision: Why decision makers want to know the odds-algorithm." The math is much trickier, though the same simple rule as earlier crops up again — but this time, the 37 percent applies to time rather than people. 1. As Cheng Xin correctly pointed out in the question's comments, the distribution of the secretary quality doesn't matter. The secretary problem maximizes the probability of selecting the best candidate. The 37% Rule - Optimal Stopping Published on July 23, 2017 July 23, 2017 • 21 Likes • 1 Comments. 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