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NP-completeness of some problems concerning voting games

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Summary

The problem of confirming lower bounds on the number of coalitions for which an individual is pivoting is NP-complete. Consequently, the problem of confirming non-zero values of power indices is NP-complete. The problem of computing the Absolute Banzhaf index is #P-complete. Related problems for power indices are discussed.

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References

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Authors and Affiliations

  1. Department of Economics, Florida State University, 475 Bellamy Building, 32306, Tallahassee, FL, USA

    K. Prasad

  2. Department of Economics, Syracuse University, 203 Maxwell Hall, 13244, Syracuse, NY, USA

    J. S. Kelly

Authors
  1. K. Prasad
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  2. J. S. Kelly
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Prasad, K., Kelly, J.S. NP-completeness of some problems concerning voting games. Int J Game Theory 19, 1–9 (1990). https://doi.org/10.1007/BF01753703

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  • DOI: https://doi.org/10.1007/BF01753703

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