Coalition structure generation utilizing compact characteristic function representations

Naoki Ohta, Vincent Conitzer, Ryo Ichimura, Yuko Sakurai, Atsushi Iwasaki, Makoto Yokoo

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

62 被引用数 (Scopus)

抄録

This paper presents a new way of formalizing the Coalition Structure Generation problem (CSG), so that we can apply constraint optimization techniques to it. Forming effective coalitions is a major research challenge in AI and multi-agent systems. CSG involves partitioning a set of agents into coalitions so that social surplus is maximized. Traditionally, the input of the CSG problem is a black-box function called a characteristic function, which takes a coalition as an input and returns the value of the coalition. As a result, applying constraint optimization techniques to this problem has been infeasible. However, characteristic functions that appear in practice often can be represented concisely by a set of rules, rather than a single black-box function. Then, we can solve the CSG problem more efficiently by applying constraint optimization techniques to the compact representation directly. We present new formalizations of the CSG problem by utilizing recently developed compact representation schemes for characteristic functions. We first characterize the complexity of the CSG under these representation schemes. In this context, the complexity is driven more by the number of rules rather than by the number of agents. Furthermore, as an initial step towards developing efficient constraint optimization algorithms for solving the CSG problem, we develop mixed integer programming formulations and show that an off-the-shelf optimization package can perform reasonably well, i.e., it can solve instances with a few hundred agents, while the state-of-the-art algorithm (which does not make use of compact representations) can solve instances with up to 27 agents.

本文言語英語
ホスト出版物のタイトルPrinciples and Practice of Constraint Programming - CP 2009 - 15th International Conference, CP 2009, Proceedings
ページ623-638
ページ数16
DOI
出版ステータス出版済み - 2009
イベント15th International Conference on Principles and Practice of Constraint Programming, CP 2009 - Lisbon, ポルトガル
継続期間: 9 20 20099 24 2009

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
5732 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他15th International Conference on Principles and Practice of Constraint Programming, CP 2009
Countryポルトガル
CityLisbon
Period9/20/099/24/09

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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