TY - GEN
T1 - Stable marriage with multi-modal preferences
AU - Chen, Jiehua
AU - Niedermeier, Rolf
AU - Skowron, Piotr
N1 - Publisher Copyright:
© 2018 Copyright held by the owner/author(s). Publication rights licensed to ACM.
PY - 2018/6/11
Y1 - 2018/6/11
N2 - We thoroughly study a generalized version of the famous Stable Marriage problem, now based on multi-modal preference lists. The central twist herein is to allow each agent to rank its potentially matching counterparts based on more than one “evaluation mode” (e.g., more than one criterion); thus, each agent is equipped with multiple preference lists, each ranking the counterparts in a possibly different way. We introduce and study three natural concepts of stability, investigate their mutual relations and focus on computational complexity aspects with respect to computing stable matchings in these new scenarios. Mostly encountering computational hardness (NP-hardness), we can also spot few islands of tractability and make a surprising connection to the Graph Isomorphism problem.
AB - We thoroughly study a generalized version of the famous Stable Marriage problem, now based on multi-modal preference lists. The central twist herein is to allow each agent to rank its potentially matching counterparts based on more than one “evaluation mode” (e.g., more than one criterion); thus, each agent is equipped with multiple preference lists, each ranking the counterparts in a possibly different way. We introduce and study three natural concepts of stability, investigate their mutual relations and focus on computational complexity aspects with respect to computing stable matchings in these new scenarios. Mostly encountering computational hardness (NP-hardness), we can also spot few islands of tractability and make a surprising connection to the Graph Isomorphism problem.
KW - Concepts of stability
KW - Exact algorithms
KW - Multi-layer (graph) models
KW - NP-hardness
KW - Parameterized complexity analysis
KW - Stable matching
UR - http://www.scopus.com/inward/record.url?scp=85048974007&partnerID=8YFLogxK
U2 - 10.1145/3219166.3219168
DO - 10.1145/3219166.3219168
M3 - Conference contribution
AN - SCOPUS:85048974007
T3 - ACM EC 2018 - Proceedings of the 2018 ACM Conference on Economics and Computation
SP - 269
EP - 286
BT - ACM EC 2018 - Proceedings of the 2018 ACM Conference on Economics and Computation
PB - Association for Computing Machinery, Inc
T2 - 19th ACM Conference on Economics and Computation, EC 2018
Y2 - 18 June 2018 through 22 June 2018
ER -