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The exact bias of the Banzhaf measure of power when votes are neither equiprobable nor independent


  • Serguei Kaniovski



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  • Serguei Kaniovski, 2008. "The exact bias of the Banzhaf measure of power when votes are neither equiprobable nor independent," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 281-300, August.
  • Handle: RePEc:spr:sochwe:v:31:y:2008:i:2:p:281-300
    DOI: 10.1007/s00355-007-0280-x

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    References listed on IDEAS

    1. Dennis Leech & Robert Leech, 2006. "Voting power and voting blocs," Public Choice, Springer, vol. 127(3), pages 285-303, June.
    2. Salvador Barbera & Matthew O. Jackson, 2006. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 317-339, April.
    3. Napel,S. & Widgren,M., 2002. "Power measurement as sensitivity analysis : a unified approach," Center for Mathematical Economics Working Papers 345, Center for Mathematical Economics, Bielefeld University.
    4. Chamberlain, Gary & Rothschild, Michael, 1981. "A note on the probability of casting a decisive vote," Journal of Economic Theory, Elsevier, vol. 25(1), pages 152-162, August.
    5. Kaniovski, Y.M. & Pflug, G.Ch., 2007. "Risk assessment for credit portfolios: A coupled Markov chain model," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2303-2323, August.
    6. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    7. Page, Scott E., 2006. "Path Dependence," Quarterly Journal of Political Science, now publishers, vol. 1(1), pages 87-115, January.
    8. Nicola Maaser & Stefan Napel, 2007. "Equal representation in two-tier voting systems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 401-420, April.
    9. Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151 Elsevier.
    10. Widgren, Mika, 1995. " Probabilistic Voting Power in the EU Council: The Cases of Trade Policy and Social Regulation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(2), pages 345-356, June.
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    Cited by:

    1. Michel Le Breton & Dominique Lepelley, 2014. "Une analyse de la loi électorale du 29 juin 1820," Revue économique, Presses de Sciences-Po, vol. 65(3), pages 469-518.
    2. Serguei Kaniovski, 2010. "Aggregation of correlated votes and Condorcet’s Jury Theorem," Theory and Decision, Springer, vol. 69(3), pages 453-468, September.
    3. Serguei Kaniovski & Sreejith Das, 2015. "Measuring voting power in games with correlated votes using Bahadur’s parametrisation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 349-367, February.
    4. Sascha Kurz & Stefan Napel, 2014. "Heuristic and exact solutions to the inverse power index problem for small voting bodies," Annals of Operations Research, Springer, vol. 215(1), pages 137-163, April.
    5. Kaniovski, Serguei, 2009. "An invariance result for homogeneous juries with correlated votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 213-222, March.
    6. Sascha Kurz, 2014. "Measuring Voting Power in Convex Policy Spaces," Economies, MDPI, Open Access Journal, vol. 2(1), pages 1-33, March.
    7. Matthias Weber, 2014. "Choosing Voting Systems behind the Veil of Ignorance: A Two-Tier Voting Experiment," Tinbergen Institute Discussion Papers 14-042/I, Tinbergen Institute.
    8. Maaser, Nicola & Napel, Stefan, 2012. "A note on the direct democracy deficit in two-tier voting," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 174-180.
    9. Alexander Zaigraev & Serguei Kaniovski, 2012. "Bounds on the competence of a homogeneous jury," Theory and Decision, Springer, vol. 72(1), pages 89-112, January.
    10. Madeleine Hosli & Rebecca Moody & Bryan O’Donovan & Serguei Kaniovski & Anna Little, 2011. "Squaring the circle? Collective and distributive effects of United Nations Security Council reform," The Review of International Organizations, Springer, vol. 6(2), pages 163-187, July.
    11. Sascha Kurz & Nicola Maaser & Stefan Napel & Matthias Weber, 2014. "Mostly Sunny: A Forecast of Tomorrow's Power Index Research," Tinbergen Institute Discussion Papers 14-058/I, Tinbergen Institute.

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