This paper deals with roommate problems (Gale and Shapley, 1962) that are solvable, i.e., have a non-empty core (set of stable matchings). We study the assortativeness of stable matchings and the size of the core by means of maximal and average rank gaps. We provide upper bounds in terms of maximal and average disagreements in the agents’ rankings. Finally, we show that most of our bounds are tight.
|Translated title of the contribution||Brechas de clasificación y el tamaño del núcleo para los problemas de compañeros de cuarto|
|Original language||English (US)|
|Number of pages||20|
|State||Published - 2017|
|Name||Barcelona GSE Working Papers Series |