Here's a new NBER working paper that marks a significant step forward in matching soldiers to positions.
Mechanism Design meets Priority Design: Redesigning the US Army's Branching Process by Kyle Greenberg, Parag A. Pathak & Tayfun Sönmez, NBER WORKING PAPER 28911 DOI 10.3386/w28911, June 2021
Army cadets obtain occupations through a centralized process. Three objectives – increasing retention, aligning talent, and enhancing trust – have guided reforms to this process since 2006. West Point’s mechanism for the Class of 2020 exacerbated challenges implementing Army policy aims. We formulate these desiderata as axioms and study their implications theoretically and with administrative data. We show that the Army’s objectives not only determine an allocation mechanism, but also a specific priority policy, a uniqueness result that integrates mechanism and priority design. These results led to a re-design of the mechanism, now adopted at both West Point and ROTC.
One of the unusual features of this paper is that the first author is both an economist and an Army officer, working in West Point's Office of Economic and Manpower Analysis:
"MAJ Greenberg is an Assistant Professor of Economics in the Department of Social Sciences and is OEMA’s Director of Long-Term Research. His primary areas of research are labor economics and public finance, with a focus on veteran employment, disability compensation, and military labor markets. Currently a Major in the U.S. Army, Kyle served tours in Iraq and Germany prior to teaching at the United States Military Academy. He earned a BS in Mathematics from the United States Military Academy in 2005 and a Ph.D. in Economics from the Massachusetts Institute of Technology in 2015."
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Here's a related earlier post, in which Major Greenberg discusses some of the design issues still facing the Army's assignment systems.
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