A constructive comment on "Rematches in boxing and other sporting events"

In the following note, I derive part of the boxing contest model developed by Amegashie and Kutsoati (2005), correct an error in its solution, and show that their main result may extend to a larger set of boxing contests. Specifically, there may well be a class of boxing matches in which two competitors will put forth greater aggregate efforts in response to a greater likelihood of a rematch, regardless of the degree to which their abilities differ. The revised solution is constructive in the sense that it builds upon the main result of Amegashie and Kutsoati.