Weighted Popular Matchings
Data Structures and Algorithms
2007-07-05 v1
Abstract
We study the problem of assigning jobs to applicants. Each applicant has a weight and provides a preference list ranking a subset of the jobs. A matching M is popular if there is no other matching M' such that the weight of the applicants who prefer M' over M exceeds the weight of those who prefer M over M'. This paper gives efficient algorithms to find a popular matching if one exists.
Keywords
Cite
@article{arxiv.0707.0546,
title = {Weighted Popular Matchings},
author = {Julián Mestre},
journal= {arXiv preprint arXiv:0707.0546},
year = {2007}
}
Comments
14 pages, 3 figures. A preliminary version appeared in the Proceedings of the 33rd International Colloquium on Automata, Languages and Programming (ICALP)