The author is deeply grateful to Avner Strulov-Shlain for generously providing the mathematical proof presented in Supplement 1. The author is also grateful to Daniel Bartels, Andreas Kraft, Sanjog Misra, Uri Simonsohn, Bradley Shapiro, Avner Strulov-Shlain, Abigail Sussman, Alex Todorov, Oleg Urminsky, George Wu, and Yvette Yang for their helpful feedback. The author thanks the editor, the associate editor, and three anonymous reviewers for their exceptionally constructive and thoughtful feedback throughout the review process. Preregistrations, materials, data, code, and supplements are found in the supplemental material on the INFORMS site and at the following ResearchBox URL: https://researchbox.org/3130.