James W. Boudreau, Jeremy Kettering, Shane D. Sanders
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Abstract
In this note, we consider a form of competition in which two contestants face separate sequences of independent trials. The contestant with the longer sequence of successful trials wins. However, since the trials are independent, there may be a form of paradox whereby the loser is able to pass all of the trials in the winner’s sequence, whereas the winner could not have overcome two or more trials in the loser’s sequence. We refer to this as the spelling bee paradox and explore its likelihood in simple settings. JEL Classification Codes: C46, D74, Z29.
期刊介绍：
ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications.
The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.
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