Bribery and Control in Stable Marriage
Abstract
We initiate the study of external manipulations in Stable Marriage by considering several manipulative actions as well as several manipulation goals. For instance, one goal is to make sure that a given pair of agents is matched in a stable solution, and this may be achieved by the manipulative action of reordering some agents' preference lists. We present a comprehensive study of the computational complexity of all problems arising in this way. We find several polynomial-time solvable cases as well as NP-hard ones. For the NP-hard cases, focusing on the natural parameter "budget" (that is, the number of manipulative actions one is allowed to perform), we also conduct a parameterized complexity analysis and encounter mostly parameterized hardness results.
Cite
Text
Boehmer et al. "Bribery and Control in Stable Marriage." Journal of Artificial Intelligence Research, 2021. doi:10.1613/JAIR.1.12755Markdown
[Boehmer et al. "Bribery and Control in Stable Marriage." Journal of Artificial Intelligence Research, 2021.](https://mlanthology.org/jair/2021/boehmer2021jair-bribery/) doi:10.1613/JAIR.1.12755BibTeX
@article{boehmer2021jair-bribery,
title = {{Bribery and Control in Stable Marriage}},
author = {Boehmer, Niclas and Bredereck, Robert and Heeger, Klaus and Niedermeier, Rolf},
journal = {Journal of Artificial Intelligence Research},
year = {2021},
pages = {993-1048},
doi = {10.1613/JAIR.1.12755},
volume = {71},
url = {https://mlanthology.org/jair/2021/boehmer2021jair-bribery/}
}