4
$\begingroup$

The Stable Roommates Problem matches 2n participants into n sets of roommates based off of each participant's list of preferences. I was wondering if there was a variant of this problem where the number of roommates is different. For example, matching 10n participants into n sets. Thanks for the help.

Edit: The Hospital Resident problem is also similar to this. Each hospital can take a certain number of residents. The problem is the residents list their preferences by hospital instead of other residents.

$\endgroup$
2
  • 1
    $\begingroup$ I'm not sure a stable assignment (properly defined) exists in this setting – have you considered that? $\endgroup$ Mar 8, 2014 at 5:39
  • $\begingroup$ I'd also be interested in knowing if there isn't a solution. $\endgroup$
    – Connor
    Mar 8, 2014 at 6:07

0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.