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The Power of a Spatially Inferior Player

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  • WidgrÈn, Mika
  • Napel, Stefan

Abstract

Traditional power indices are not suited to take account of explicit preferences, strategic interaction, and particular decision procedures. This paper studies a new way to measure decision power, based on fully specified spatial preferences and strategic interaction in an explicit voting game with agenda setting. We extend the notion of inferior players to this context, and introduce a power index which - like the traditional ones - defines powers as the ability to have pivotal influence on outcomes, not as the (often just lucky) occurrence of outcomes close to a player's ideal policy. Though, at the present state, formal analysis is based on restrictive assumptions, our general approach opens an avenue for a new type of power measurement
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  • WidgrÈn, Mika & Napel, Stefan, 2001. "The Power of a Spatially Inferior Player," Discussion Papers 771, The Research Institute of the Finnish Economy.
    • Handle: RePEc:rif:dpaper:771
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    References listed on IDEAS

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    1. Philip Straffin, 1977. "Homogeneity, independence, and power indices," Public Choice, Springer, vol. 30(1), pages 107-118, June.
    2. Mika Widgrén & Stefan Napel, 2001. "Inferior players in simple games," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 209-220.
    3. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    4. 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.
    5. Bernard Steunenberg & Dieter Schmidtchen & Christian Koboldt, 1999. "Strategic Power in the European Union," Journal of Theoretical Politics, , vol. 11(3), pages 339-366, July.
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    Cited by:

    1. 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.
    2. Napel, Stefan & Widgrén, Mika, 2017. "Power measurement as sensitivity analysis: a unified approach," Center for Mathematical Economics Working Papers 345, Center for Mathematical Economics, Bielefeld University.
    3. 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.
    4. Borkowski, Agnieszka, 2003. "Machtverteilung Im Ministerrat Nach Dem Vertrag Von Nizza Und Den Konventsvorschlagen In Einer Erweiterten Europaischen Union," IAMO Discussion Papers 14887, Institute of Agricultural Development in Transition Economies (IAMO).
    5. Agnieszka Rusinowska, 2010. "The Hoede-Bakker index modified to the Shapley-Shubik and Holler-Packel indices," Post-Print halshs-00406430, HAL.
    6. Borkowski, Agnieszka, 2003. "Machtverteilung im Ministerrat: nach dem Vertrag von Nizza und den Konventsvorschlägen in einer erweiterten Europäischen Union," IAMO Discussion Papers 54, Leibniz Institute of Agricultural Development in Transition Economies (IAMO).
    7. Stefan Napel & Mika Widgren, 2004. "Power Measurement as Sensitivity Analysis," Journal of Theoretical Politics, , vol. 16(4), pages 517-538, October.

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