The Hospitals/Residents Problem with Ties

  • Authors:
  • Robert W. Irving;David Manlove;Sandy Scott

  • Affiliations:
  • -;-;-

  • Venue:
  • SWAT '00 Proceedings of the 7th Scandinavian Workshop on Algorithm Theory
  • Year:
  • 2000

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Abstract

The hospitals/residents problem is an extensively-studied many-one stable matching problem. Here, we consider the hospitals/ residents problem where ties are allowed in the preference lists. In this extended setting, a number of natural definitions for a stable matching arise. We present the first linear-time algorithm for the problem under the strongest of these criteria, so-called super-stability. Our new results have applications to large-scale matching schemes, such as the National Resident Matching Program in the US, and similar schemes elsewhere.