Matching with Couples Revisited
Computer Science and Game Theory
2015-03-17 v2
Abstract
It is well known that a stable matching in a many-to-one matching market with couples need not exist. We introduce a new matching algorithm for such markets and show that for a general class of large random markets the algorithm will find a stable matching with high probability. In particular we allow the number of couples to grow at a near-linear rate. Furthermore, truth-telling is an approximated equilibrium in the game induced by the new matching algorithm. Our results are tight: for markets in which the number of couples grows at a linear rate, we show that with constant probability no stable matching exists.
Keywords
Cite
@article{arxiv.1011.2121,
title = {Matching with Couples Revisited},
author = {Itai Ashlagi and Mark Braverman and Avinatan Hassidim},
journal= {arXiv preprint arXiv:1011.2121},
year = {2015}
}