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University of Richmond

1982

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Secretary problem

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Optimal Sequential Selection Based On Relative Ranks With Renewable Call Options, John S. Rose Jan 1982

Optimal Sequential Selection Based On Relative Ranks With Renewable Call Options, John S. Rose

Robins School of Business White Paper Series, 1980-2022

Sequential sampling problems may be affected significantly by the presence of sampling costs and the ability to recall historical observations. In the context of the classical secretary problem, we incorporate these two notions into the decision maker's action set, thereby creating a stopped decision process. Whenever a desirable applicant appears, we may consider purchasing an option to recall it subsequently. The problem is solved for the best-choice criterion, reduced or discounted by the option costs incurred.


The Secretary Problem With A Call Option, John S. Rose Jan 1982

The Secretary Problem With A Call Option, John S. Rose

Robins School of Business White Paper Series, 1980-2022

No abstract provided.