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A Well-Behaved Index of a Priori P-Power for Simple N-Person Games

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  • Dan S. Felsenthal

    (University of Haifa
    London School of Economics and Political Science)

Abstract

As far as we know, all previously suggested indices of a priori P-power for simple n-person games violate one or more postulates that are considered compelling for a reasonable P-power index. A new index is proposed in this paper which satisfies all these postulates.

Suggested Citation

  • Dan S. Felsenthal, 2016. "A Well-Behaved Index of a Priori P-Power for Simple N-Person Games," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(4), pages 367-381, December.
    • Handle: RePEc:spr:homoec:v:33:y:2016:i:4:d:10.1007_s41412-016-0031-2
    DOI: 10.1007/s41412-016-0031-2
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    References listed on IDEAS

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    1. Dan Felsenthal & Moshé Machover & William Zwicker, 1998. "The Bicameral Postulates and Indices of a Priori Voting Power," Theory and Decision, Springer, vol. 44(1), pages 83-116, January.
    2. Felsenthal, Dan S & Machover, Moshe, 1996. "Alternative Forms of the Shapley Value and the Shapley-Shubik Index," Public Choice, Springer, vol. 87(3-4), pages 315-318, June.
    3. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
    4. Freixas, Josep & Kurz, Sascha, 2016. "The cost of getting local monotonicity," European Journal of Operational Research, Elsevier, vol. 251(2), pages 600-612.
    5. Freixas, Josep & Kaniovski, Serguei, 2014. "The minimum sum representation as an index of voting power," European Journal of Operational Research, Elsevier, vol. 233(3), pages 739-748.
    6. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    7. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    8. Manfred Holler & Rie Ono & Frank Steffen, 2001. "Constrained Monotonicity and the Measurement of Power," Theory and Decision, Springer, vol. 50(4), pages 383-395, June.
    9. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
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    Cited by:

    1. Dan S. Felsenthal, 2017. "Comment on “Proposals for a Democracy of the Future” by Bruno Frey," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 34(2), pages 195-200, November.
    2. Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.
    3. Stefano Moretti & Raja Trabelsi, 2021. "A Double-Weighted Bankruptcy Method to Allocate CO 2 Emissions Permits," Games, MDPI, vol. 12(4), pages 1-21, October.
    4. Stefano Moretti & Raja Trabelsi, 2021. "A Double-Weighted Bankruptcy Method to Allocate CO2 Emissions Permits," Post-Print hal-03835536, HAL.
    5. Somdeb Lahiri, 2021. "Pattanaik's axioms and the existence of winners preferred with probability at least half," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(2), pages 109-122.
    6. Hannu Nurmi & Maurice Salles, 2019. "Professor Dan S. Felsenthal (1938–2019)," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 371-373, October.

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