A compact representation scheme of coalitional games based on multi-terminal zero-suppressed binary decision diagrams

Yuko Sakurai, Suguru Ueda, Atsushi Iwasaki, Shin Ichi Minato, Makoto Yokoo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

Coalitional games, including Coalition Structure Generation (CSG), have been attracting considerable attention from the AI research community. Traditionally, the input of a coalitional game is a black-box function called a characteristic function. Previous studies have found that many problems in coalitional games tend to be computationally intractable in this black-box function representation. Recently, several concise representation schemes for a characteristic function have been proposed. Among them, a synergy coalition group (SCG) has several good characteristics, but its representation size tends to be large compared to other representation schemes. We propose a new concise representation scheme for a characteristic function based on a Zero-suppressed Binary Decision Diagram (ZDD) and a SCG. We show our scheme (i) is fully expressive, (ii) can be exponentially more concise than the SCG representation, (iii) can solve core-related problems in polynomial time in the number of nodes, and (iv) can solve a CSG problem reasonably well by utilizing a MIP formulation. A Binary Decision Diagram (BDD) has been used as unified infrastructure for representing/manipulating discrete structures in such various domains in AI as data mining and knowledge discovery. Adapting this common infrastructure brings up the opportunity of utilizing abundant BDD resources and cross-fertilization with these fields.

Original languageEnglish
Title of host publicationAgents in Principle, Agents in Practice - 14th International Conference, PRIMA 2011, Proceedings
Pages4-18
Number of pages15
DOIs
Publication statusPublished - Nov 28 2011
Event14th International Conference on Principles and Practice of Multi-Agent Systems, PRIMA 2011 - Wollongong, NSW, Australia
Duration: Nov 16 2011Nov 18 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7047 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other14th International Conference on Principles and Practice of Multi-Agent Systems, PRIMA 2011
CountryAustralia
CityWollongong, NSW
Period11/16/1111/18/11

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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    Sakurai, Y., Ueda, S., Iwasaki, A., Minato, S. I., & Yokoo, M. (2011). A compact representation scheme of coalitional games based on multi-terminal zero-suppressed binary decision diagrams. In Agents in Principle, Agents in Practice - 14th International Conference, PRIMA 2011, Proceedings (pp. 4-18). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7047 LNAI). https://doi.org/10.1007/978-3-642-25044-6_4