Edit: the deferred acceptance algorithm they refer to in the article __is__ the Gale algorithm. Those sort of algorithms (actually refined versions) are starti

Edit: the deferred acceptance algorithm they refer to in the article __is__ the Gale algorithm. Those sort of algorithms (actually refined versions) are starting to be deployed for those problems. It's being used to match kidney donors to recipients, and freshly minted doctors to residencies. School districts have more problems implementing it due to regional politics. I would encourage you to look into the research by people like Al Roth, Itai Ashlagi or Atila Abdulkadiroglu.