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Optimal Expected Rank in a Two-Sided Secretary Problem
Mälardalen University, Department of Mathematics and Physics.ORCID iD: 0000-0002-7164-0924
Mälardalen University, Department of Mathematics and Physics.
Mälardalen University, Department of Mathematics and Physics.
2007 (English)In: Operations Research, ISSN 0030-364X, Vol. 55, no 5, p. 921-931Article in journal (Refereed) Published
Abstract [en]

In a two-sided version of the famous secretary problem, employers search for a secretary at the same time as secretaries search for an employer. Nobody accepts being put on hold, and nobody is willing to take part in more than N interviews. Preferences are independent, and agents seek to optimize the expected rank of the partner they obtain among the N potential partners. We find that in any subgame perfect equilibrium, the expected rank grows as the square root of N (whereas it tends to a constant in the original secretary problem). We also compute how much agents can gain by cooperation.

Place, publisher, year, edition, pages
2007. Vol. 55, no 5, p. 921-931
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-2855DOI: 10.1287/opre.1070.0403ISI: 000250943300009Scopus ID: 2-s2.0-38549153861OAI: oai:DiVA.org:mdh-2855DiVA, id: diva2:115518
Available from: 2008-01-04 Created: 2008-01-04 Last updated: 2015-06-02Bibliographically approved

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Eriksson, Kimmo

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