Pigeonhole Design: Balancing Sequential Experiments from an Online Matching Perspective

The authors thank Dean Eckles, Rui Gao, David Hughes, Nian Si, John Silberholz, Chung-Piaw Teo, and participants at Harvard University, Nanyang Technological University, University of Chicago, and University of Toronto whose comments have significantly improved the manuscript. The authors would also like to thank the department editor George Shanthikumar, the anonymous associate editor, and the anonymous referees whose comments significantly improved the manuscript throughout the reviewing process. In particular, the proof of Lemma 3 borrowed ideas from the reports of two anonymous referees.