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Optimal Expected Rank in a Two-Sided Secretary Problem
Mälardalens högskola, Institutionen för matematik och fysik.ORCID-id: 0000-0002-7164-0924
Mälardalens högskola, Institutionen för matematik och fysik.
Mälardalens högskola, Institutionen för matematik och fysik.
2007 (engelsk)Inngår i: Operations Research, ISSN 0030-364X, Vol. 55, nr 5, s. 921-931Artikkel i tidsskrift (Fagfellevurdert) Published
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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.

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2007. Vol. 55, nr 5, s. 921-931
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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
Tilgjengelig fra: 2008-01-04 Laget: 2008-01-04 Sist oppdatert: 2020-12-10bibliografisk kontrollert

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