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An axiomated family of power indices for simple n-person games

Author

Listed:
  • Edward Packel
  • John Deegan

Abstract

In this probabilistic generalization of the Deegan-Packel power index, a new family of power indices based on the notions of minimal winning coalitions and equal division of pay offs is developed. The family of indices is parameterized by allowing minimal winning coalitions to form in accordance with varying probability functions. These indices are axiomatically characterized and compared to other similarly characterized indices. Additionally, a dual family of minimal blocking coalition indices and their characterization axioms is presented. Copyright Martinus Nijhoff Publishers bv 1980

Suggested Citation

  • Edward Packel & John Deegan, 1980. "An axiomated family of power indices for simple n-person games," Public Choice, Springer, vol. 35(2), pages 229-239, January.
    • Handle: RePEc:kap:pubcho:v:35:y:1980:i:2:p:229-239
    DOI: 10.1007/BF00140846
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    Cited by:

    1. Michela Chessa, 2014. "A generating functions approach for computing the Public Good index efficiently," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 658-673, July.
    2. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe, 2017. "Meaningful learning in weighted voting games: an experiment," Theory and Decision, Springer, vol. 83(1), pages 131-153, June.
    3. Gianfranco Gambarelli, 1999. "Maximax Apportionments," Group Decision and Negotiation, Springer, vol. 8(6), pages 441-461, November.
    4. René Brink & Frank Steffen, 2012. "Axiomatizations of a positional power score and measure for hierarchies," Public Choice, Springer, vol. 151(3), pages 757-787, June.
    5. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe & Gabriele Esposito & Xiaoyan Lu, 2014. "A methodological note on a weighted voting experiment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 827-850, December.
    6. A. M. A. van Deemen, 1991. "Coalition Formation in Centralized Policy Games," Journal of Theoretical Politics, , vol. 3(2), pages 139-161, April.
    7. Matteo Migheli, 2016. "Measuring Representativeness in Different Electoral Systems, Using Italian and Dutch Data," Group Decision and Negotiation, Springer, vol. 25(4), pages 723-748, July.
    8. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe & Gabriele Esposito & Xiaoyan Lu, 2011. "A Note on a Weighted Voting Experiment: Human Mistakes in Cooperative Games," Working Papers halshs-00645867, HAL.

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