Corpus ID: 155099964

Two-sided profile-based optimality in the stable marriage problem

@article{Cooper2019TwosidedPO,
  title={Two-sided profile-based optimality in the stable marriage problem},
  author={Frances Cooper and D. Manlove},
  journal={ArXiv},
  year={2019},
  volume={abs/1905.06626}
}
We study the problem of finding "fair" stable matchings in the Stable Marriage problem with Incomplete lists (SMI). In particular, we seek stable matchings that are optimal with respect to profile, which is a vector that indicates the number of agents who have their first-, second-, third-choice partner, etc. In a rank maximal stable matching, the maximum number of agents have their first-choice partner, and subject to this, the maximum number of agents have their second-choice partner, etc… Expand

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