Bribery and control in stable marriage

Niclas Boehmer, Robert Bredereck, Klaus Heeger, Rolf Niedermeier

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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.

Original languageEnglish
Pages (from-to)993-1048
Number of pages56
JournalJournal Of Artificial Intelligence Research
Volume71
DOIs
StatePublished - 1 Jan 2021
Externally publishedYes

ASJC Scopus subject areas

  • Artificial Intelligence

Fingerprint

Dive into the research topics of 'Bribery and control in stable marriage'. Together they form a unique fingerprint.

Cite this