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The Impossibility of a Preference-Based Power Index

Author

Listed:
  • Matthew Braham

    (braham@econ.uni-hamburg.de)

  • Manfred J. Holler

    (University of Hamburg, holler@econ.uni-hamburg.de)

Abstract

This paper examines a recent debate in the literature on power indices in which classical measures such as the Banzhaf, Shapley-Shubik, and Public Good indices have been criticized on the grounds that they do not take into account player preferences. It has been argued that an index that is blind to preferences misses a vital component of power, namely strategic interaction. In this vein, there has been an attempt to develop so-called strategic power indices on the basis of non-cooperative game theory. We argue that the criticism is unfounded and that a preference-based power index is incompatible with the definition of power as a generic ability: ‘the ability to affect outcomes’. We claim that power resides in, and only in, a game form and not in a game itself.

Suggested Citation

  • Matthew Braham & Manfred J. Holler, 2005. "The Impossibility of a Preference-Based Power Index," Journal of Theoretical Politics, , vol. 17(1), pages 137-157, January.
    • Handle: RePEc:sae:jothpo:v:17:y:2005:i:1:p:137-157
    DOI: 10.1177/0951629805047801
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    References listed on IDEAS

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    Cited by:

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    2. Hans Peters & José M. Zarzuelo, 2017. "An axiomatic characterization of the Owen–Shapley spatial power index," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 525-545, May.
    3. Holler Manfred J. & Nurmi Hannu, 2005. "Power, Outcomes and Preferences / Macht, Ereignisse und Präferenzen," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 225(2), pages 181-191, April.
    4. László Á. Kóczy, 2016. "Power Indices When Players can Commit to Reject Coalitions," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(1), pages 77-91, August.
    5. Agnieszka Rusinowska, 2010. "The Hoede–Bakker Index Modified to the Shapley–Shubik and Holler–Packel Indices," Group Decision and Negotiation, Springer, vol. 19(6), pages 543-569, November.
    6. Fuad Aleskerov & Manfred Holler & Rita Kamalova, 2014. "Power distribution in the Weimar Reichstag in 1919–1933," Annals of Operations Research, Springer, vol. 215(1), pages 25-37, April.
    7. Tom Blockmans & Marie-Anne Guerry, 2015. "Probabilistic Spatial Power Indexes: The Impact of Issue Saliences and Distance Selection," Group Decision and Negotiation, Springer, vol. 24(4), pages 675-697, July.
    8. Elisabetta Croci Angelini, 2007. "Resisting Globalization: Voting Power Indices and the National Interest in the EU Decision-making," Working Papers 08-2007, Macerata University, Department of Studies on Economic Development (DiSSE), revised Feb 2009.
    9. Barbara Dluhosch & Daniel Horgos & Klaus W. Zimmermann, 2016. "EU enlargement and satisfaction with democracy: a peculiar case of immiserizing growth," Constitutional Political Economy, Springer, vol. 27(3), pages 273-298, September.
    10. Madeleine O. Hosli & Běla Plechanovová & Serguei Kaniovski, 2018. "Vote Probabilities, Thresholds and Actor Preferences: Decision Capacity and the Council of the European Union," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 35(1), pages 31-52, June.

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