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Parameterized Complexity of Candidate Control in Elections and Related Digraph Problems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5165))

Abstract

There are different ways for an external agent to influence the outcome of an election. We concentrate on “control” by adding or deleting candidates of an election. Our main focus is to investigate the parameterized complexity of various control problems for different voting systems. To this end, we introduce natural digraph problems that may be of independent interest. They help in determining the parameterized complexity of control for different voting systems including Llull, Copeland, and plurality votings. Devising several parameterized reductions, we provide a parameterized complexity overview of the digraph and control problems with respect to natural parameters.

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References

  1. Bartholdi III, J.J., Tovey, C.A., Trick, M.A.: How hard is it to control an election. Mathematical and Computer Modelling 16(8-9), 27–40 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  2. Christian, R., Fellows, M.R., Rosamond, F.A., Slinko, A.M.: On complexity of lobbying in multiple referenda. Review of Economic Design 11(3), 217–224 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  3. Conitzer, V., Sandholm, T., Lang, J.: When are elections with few candidates hard to manipulate? Journal of the ACM 54(3), 1–33 (2007)

    Article  MathSciNet  Google Scholar 

  4. Downey, R.G., Fellows, M.R.: Threshold dominating sets and an improved version of W[2]. Theoretical Computer Science 209, 123–140 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. Downey, R.G., Fellows, M.R.: Parameterized Complexity. Springer, Heidelberg (1999)

    Google Scholar 

  6. Faliszewski, P., Hemaspaandra, E., Hemaspaandra, L.A., Rothe, J.: Llull and Copeland voting broadly resist bribery and control. In: Proc. of 22nd AAAI 2007, pp. 724–730 (2007)

    Google Scholar 

  7. Faliszewski, P., Hemaspaandra, E., Hemaspaandra, L.A., Rothe, J.: Copeland voting fully resists constructive control. In: Proc. of 4th AAIM 2008 (2008)

    Google Scholar 

  8. Hemaspaandra, E., Hemaspaandra, L.A., Rothe, J.: Anyone but him: The complexity of precluding an alternative. Artificial Intelligence 171, 255–285 (2007)

    Article  MathSciNet  Google Scholar 

  9. König, D.: Über Graphen und ihre Anwendungen auf Determinantentheorie und Mengenlehre. Mathematische Annalen 77, 453–465 (1916)

    Article  MATH  MathSciNet  Google Scholar 

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Boting Yang Ding-Zhu Du Cao An Wang

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© 2008 Springer-Verlag Berlin Heidelberg

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Betzler, N., Uhlmann, J. (2008). Parameterized Complexity of Candidate Control in Elections and Related Digraph Problems. In: Yang, B., Du, DZ., Wang, C.A. (eds) Combinatorial Optimization and Applications. COCOA 2008. Lecture Notes in Computer Science, vol 5165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85097-7_5

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  • DOI: https://doi.org/10.1007/978-3-540-85097-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85096-0

  • Online ISBN: 978-3-540-85097-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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