International Journal of Game Theory

, Volume 19, Issue 1, pp 1–9 | Cite as

NP-completeness of some problems concerning voting games

  • K. Prasad
  • J. S. Kelly


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.


Lower Bound Economic Theory Game Theory Related Problem Power Index 
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Copyright information

© Physica-Verlag 1990

Authors and Affiliations

  • K. Prasad
    • 1
  • J. S. Kelly
    • 2
  1. 1.Department of EconomicsFlorida State UniversityTallahasseeUSA
  2. 2.Department of EconomicsSyracuse UniversitySyracuseUSA

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