School Choice Kidney Exchange Liver Exchange Cadet-Branch Matching Covid-19 Allocation of Medical Resources Affirmative Action in India
Policy and Practice Impacts on Cadet-Branch Matching
In a pair of papers Sönmez & Switzer (2013) and Sönmez (2013), I formulated a number of shortcomings of cadet-branch matching mechanisms at United States Military Academy (aka West Point) and ROTC respectively, and recommended an alternative mechanism, the Cadet-Optimal Stable Mechanism, to escape these shortcomings. My proposed mechanism designs for this application built on the seminal paper entitled “Matching with Contracts” by Hatfield & Milgrom (2005) along with an important generalization in Hatfield & Kojima (2010) . Immediately after my papers were published, ROTC modified its mechanism mitigating (but not completely removing) some of these shortcomings.
2013 Reform in ROTC Cadet-Branch Matching Mechanism
One of the most important shortcomings of the ROTC cadet-branch matching mechanism is the adverse incentives it gives to a significant fraction of cadets to manipulate the system via “tanking” their efforts during their studies. In May 2013, the Army announced its plans to replace this mechanism in part due to the adverse “tanking” incentives harbored by their mechanism. Here is a link for the Army’s announcement.
2020 Reform in USMA & ROTC Cadet-Branch Matching Mechanisms
Since Fall 2019, Parag Pathak and I have been collaborating with the officials at the U.S. Army Office of Economic and Manpower Analysis (OEMA) for a mechanism design that will best serve the Army’s objectives of talent alignment and retention. In February 2020, we have have signed a Memorandum of Understanding with the OEMA leadership formalizing our collaboration. As a result of this partnership, both USMA and ROTC have adopted the Cadet-Optimal Stable mechanism starting with their October-2020 branching match, thus eliminating all shortcomings I formulated in Sönmez & Switzer (2013) and Sönmez (2013). The new design also benefits from the slot-specific priorities introduced in Kominers and Sönmez (2016).
The role these shortcomings have played in 2020 reforms can be seen in the following Army announcement for their 2020 branching reform as well as in the following video describing their new mechanism.
New Paper on Army’s 2020 Branching Reform
See Greenberg, Pathak and Sönmez (2023) for theoretical and numerical analysis that lead to Army’s new branching mechanism adopted by USMA and ROTC in 2020.
2020 Economics Nobel Prize: Theory and Practice of Auctions
Congratulations to Paul Milgrom and Robert Wilson who have shared the 2020 Nobel Economics Nobel Prize “for improvements to auction theory and inventions of new auction formats.”
As I emphasized above, the starting point of my research on cadet-branch matching is Hatfield & Milgrom (2005). I thank the Nobel Committee for their recognition of my research on this application in the following Scientific Background on the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2020.