Efficient stabilization of cooperative matching games

Takehiro Ito, Naonori Kakimura, Naoyuki Kamiyama, Yusuke Kobayashi, Yoshio Okamoto

研究成果: Conference contribution

3 被引用数 (Scopus)

抄録

Cooperative matching games have drawn much interest partly because of the connection with bargaining solutions in the networking environment. However, it is not always guaranteed that a network under investigation gives rise to a stable bargaining outcome. To address this issue, we consider a modification process, called stabilization, that yields a network with stable outcomes, where the modification should be as small as possible. Therefore, the problem is cast to a combinatorial-optimization problem in a graph. Recently, the stabilization by edge removal was shown to be NP-hard. On the contrary, in this paper, we show that other possible ways of stabilization, namely, edge addition, vertex removal and vertex addition, are all polynomial-time solvable. Thus, we obtain a complete complexity-theoretic classification of the natural four variants of the network stabilization problem. We further study weighted variants and prove that the variants for edge addition and vertex removal are NP-hard.

本文言語English
ホスト出版物のタイトルAAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems
出版社International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
ページ41-49
ページ数9
ISBN(電子版)9781450342391
出版ステータスPublished - 2016
イベント15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016 - Singapore, Singapore
継続期間: 2016 5 92016 5 13

出版物シリーズ

名前Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS
ISSN(印刷版)1548-8403
ISSN(電子版)1558-2914

Other

Other15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016
国/地域Singapore
CitySingapore
Period16/5/916/5/13

ASJC Scopus subject areas

  • 人工知能
  • ソフトウェア
  • 制御およびシステム工学

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