Geodesic
Secretary problem and two almost the same consecutive applicants
Mathematica Applicanda, Tome 50 (2022) no. 2, pp. 165-181.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The classical secretary problem involves sequentially interviewing a pool of n applicants with the aim of hiring exactly the best one in the pool; nothing less is good enough. The decision maker’s strategy should maximize the probability of appropriate selection. The various modification of the aim under the probability maximization criterion does not contain the issue of selecting the pairs of secretaries of very close absolute ranks. This paper is devoted to such a concern, with is formulated in a rigorous way. The effectiveness of the threshold rules is analyzed. It is shown that the probability of success in this class of strategies is asymptotically bounded by 0.5.
DOI : 10.14708/ma.v50i2.7143
Classification : 60G40
Mots-clés : Secretary problem, Stopping rule, Probability games 
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Josef Rukavicka. Secretary problem and two almost the same consecutive applicants. Mathematica Applicanda, Tome 50 (2022) no. 2, pp.  165-181. doi : 10.14708/ma.v50i2.7143. http://geodesic.mathdoc.fr/articles/10.14708/ma.v50i2.7143/

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