Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
Sonmez (2013) and Sonmez and Switzer (2013) used matching theory with unilaterally substitutable priorities to propose mechanisms to match cadets to military branches. This paper shows that, alternatively, the Sonmez and Sonmez-Switzer mechanisms can be constructed as descending salary adjustment processes in Kelso-Crawford (1982) economies in which cadets are (grossly) substitutable. The lengths of service contracts serve as (inverse) salaries. The underlying substitutability explains the unilateral substitutability of the priorities utilized by Sonmez and Sonmez-Switzer.