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Finding partitions of arguments with Dung's properties via SCSPs

Published:21 March 2011Publication History

ABSTRACT

Forming coalition structures allows agents to join their forces with the aim to achieve a common task. We suggest it would be interesting to look for homogeneous groups which follow distinct lines of thought. For this reason, we extend the Dung Argumentation Framework in order to deal with coalitions of arguments. The initial set of arguments is partitioned into subsets (or coalitions). Each coalition represents a different line of thought, but all the found coalitions show the same property inherited by Dung, e.g. all the coalitions in the partition are admissible (or conflict-free, complete, stable). Some problems in weighted argumentation are NP complete; we use (soft) constraints as a formal approach to reason about coalitions and to model all these problems in the same framework. Semiring algebraic structures can be used to model different optimization criteria for the obtained coalitions. To implement this mapping and practically find its solutions we use JaCoP, a Java constraint solver, and we test the code over a small-world network.

References

  1. L. Amgoud. An argumentation-based model for reasoning about coalition structures. In ArgMAS05, volume 4049 of LNCS, pages 217--228. Springer, 2005. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. K. R. Apt and A. Witzel. A generic approach to coalition formation. CoRR, abs/0709.0435, 2007.Google ScholarGoogle Scholar
  3. S. Bistarelli. Semirings for Soft Constraint Solving and Programming, volume 2962 of LNCS. Springer, 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. S. Bistarelli, U. Montanari, and F. Rossi. Semiring-based Constraint Solving and Optimization. Journal of the ACM, 44(2): 201--236, March 1997. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. S. Bistarelli and F. Santini. A common computational framework for semiring-based argumentation systems. In ECAI'10, volume 215, pages 131--136. IOS Press, 2010. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. G. Boella, L. van der Torre, and S. Villata. Social viewpoints for arguing about coalitions. In PRIMA, volume 5357 of LNCS, pages 66--77. Springer, 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. K. P. Bogart. Introductory Combinatorics. Academic Press, Inc., Orlando, FL, USA, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. N. Bulling, J. Dix, and C. I. Chesñevar. Modelling coalitions: Atl + argumentation. pages 681--688. IFAAMAS, 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. P. M. Dung. On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell., 77(2): 321--357, 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. P. E. Dunne, A. Hunter, P. McBurney, S. Parsons, and M. Wooldridge. Inconsistency tolerance in weighted argument systems. pages 851--858. IFAAMS, 2009. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. W. D. Harvey and M. L. Ginsberg. Limited discrepancy search. In IJCAI (1), pages 607--615, 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. B. Horling and V. Lesser. A survey of multi-agent organizational paradigms. Knowl. Eng. Rev., 19(4): 281--316, 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. G. Katsirelos and T. Walsh. Dynamic symmetry breaking constraints. In Workshop on Modeling and Solving Problems with Constraints (at ECAI08), pages 39--44. Informal Proc., 2008.Google ScholarGoogle Scholar
  14. J. Kleinberg. Navigation in a small world. Nature, 406: 845, 2000.Google ScholarGoogle Scholar
  15. K. Kuchcinski and R. Szymanek. Jacop - java constraint programming solver, 2001. http://jacop.osolpro.com/.Google ScholarGoogle Scholar
  16. N. Ohta, V. Conitzer, R. Ichimura, Y. Sakurai, A. Iwasaki, and M. Yokoo. Coalition structure generation utilizing compact characteristic function representations. In CP, volume 5732 of LNCS, pages 623--638. Springer, 2009. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. J. O'Madadhain, D. Fisher, S. White, and Y. Boey. The JUNG (Java Universal Network/Graph) framework. Technical report, UC Irvine, 2003.Google ScholarGoogle Scholar
  18. F. Rossi, P. van Beek, and T. Walsh. Handbook of Constraint Programming. Elsevier Science Inc., NY, USA, 2006. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. O. Shehory and S. Kraus. Task allocation via coalition formation among autonomous agents. In IJCAI (1), pages 655--661, 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library

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          cover image ACM Conferences
          SAC '11: Proceedings of the 2011 ACM Symposium on Applied Computing
          March 2011
          1868 pages
          ISBN:9781450301138
          DOI:10.1145/1982185

          Copyright © 2011 ACM

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          Publication History

          • Published: 21 March 2011

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