A famous algorithm for achieving this processinvolves a woman saying "maybe" to her most desired suitor and "no" to the rest, and was proposed as asolution for the (*) marriage market by David Gale and Lloyd Shapley.
[Note to moderator: It's probably a good idea to read over the first line before starting the question]This process is performed by Abdulkadiroğlu and SÃ¶nmez's wonderfully-abbreviated YRMHÂ–IGYTalgorithm. Herbert Scarf co-authored a paper which uses the TTC algorithm to achieve a "core" allocation inthis process for houses. A model created by Dale Mortensen and Christopher Pissarides demonstrated howa negative shock to employment can inhibit this process. Failures in this process often result from"unraveling," which results in insufficient "thickness." A famous algorithm for achieving this processinvolves a woman saying "maybe" to her most desired suitor and "no" to the rest, and was proposed as asolution for the (*) marriage market by David Gale and Lloyd Shapley. Shapley won the 2012 Nobel Prize inEconomics along with Alvin Roth, for contributions to the theory of this process. In practice, this process isachieved by institutions like the NRMP, which is a clearinghouse for future doctors. For 10 points, name thisgeneral process by which markets allocate resources and relationships among actors.
[Note to moderator: It's probably a good idea to read over the first line before starting the question]This process is performed by Abdulkadiroğlu and SÃ¶nmez's wonderfully-abbreviated YRMHÂ–IGYTalgorithm.
matching [accept any more specific answers that include the word matching; prompt on more general answers, such as "finding a job"]