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A New Characterization Of The Banzhaf Index Of Power

Author

Listed:
  • RANA BARUA

    (Statistics-Mathematics Unit, Indian Statistical Institute, Kolkata, India)

  • SATYA R. CHAKRAVARTY

    (Economic Research Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata-700108, India)

  • SONALI ROY

    (Economic Research Unit, Indian Statistical Institute, Kolkata, India)

Abstract

This paper develops a new axiomatic characterization of the Banzhaf index of power using four axioms from four different contributions to the area. A nice feature of the characterization is independence of the axioms showing importance of each of them in the exercise.

Suggested Citation

  • Rana Barua & Satya R. Chakravarty & Sonali Roy, 2005. "A New Characterization Of The Banzhaf Index Of Power," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 545-553.
    • Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:04:n:s0219198905000703
    DOI: 10.1142/S0219198905000703
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    References listed on IDEAS

    as
    1. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
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    Citations

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    Cited by:

    1. Josep Freixas & Montserrat Pons, 2021. "An Appropriate Way to Extend the Banzhaf Index for Multiple Levels of Approval," Group Decision and Negotiation, Springer, vol. 30(2), pages 447-462, April.
    2. Giulia Bernardi, 2018. "A New Axiomatization of the Banzhaf Index for Games with Abstention," Group Decision and Negotiation, Springer, vol. 27(1), pages 165-177, February.
    3. Josep Freixas & Roberto Lucchetti, 2016. "Power in voting rules with abstention: an axiomatization of a two components power index," Annals of Operations Research, Springer, vol. 244(2), pages 455-474, September.

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    More about this item

    Keywords

    Voting game; voting power; Banzhaf index; axioms; characterization; JEL Classification Numbers: C71; JEL Classification Numbers: D72; Primary: 91A06; Secondary: 91A40;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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