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

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  • 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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    1. Philip Straffin, 1977. "Homogeneity, independence, and power indices," Public Choice, Springer, vol. 30(1), pages 107-118, June.
    2. Dennis Leech & Robert Leech, 2006. "Voting power and voting blocs," Public Choice, Springer, vol. 127(3), pages 285-303, June.
    3. 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.
    4. Stefan Napel & Mika Widgrén, 2005. "The Possibility of a Preference-Based Power Index," Journal of Theoretical Politics, , vol. 17(3), pages 377-387, July.
    5. Sven Berg, 1985. "Paradox of voting under an urn model: The effect of homogeneity," Public Choice, Springer, vol. 47(2), pages 377-387, January.
    6. 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.
    7. 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.
    8. 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.
    9. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    10. Stefan Napel & Mika Widgren, 2004. "Power Measurement as Sensitivity Analysis," Journal of Theoretical Politics, , vol. 16(4), pages 517-538, October.
    11. 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.
    12. 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.
    13. 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.
    14. Page, Scott E., 2006. "Path Dependence," Quarterly Journal of Political Science, now publishers, vol. 1(1), pages 87-115, January.
    15. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    16. Bernard Steunenberg & Dieter Schmidtchen & Christian Koboldt, 1999. "Strategic Power in the European Union," Journal of Theoretical Politics, , vol. 11(3), pages 339-366, July.
    17. Tsebelis, George, 1995. "Decision Making in Political Systems: Veto Players in Presidentialism, Parliamentarism, Multicameralism and Multipartyism," British Journal of Political Science, Cambridge University Press, vol. 25(3), pages 289-325, July.
    18. repec:bla:scandj:v:97:y:1995:i:2:p:345-56 is not listed on IDEAS
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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. Kurz, Sascha & Maaser, Nicola & Napel, Stefan, 2018. "Fair representation and a linear Shapley rule," Games and Economic Behavior, Elsevier, vol. 108(C), pages 152-161.
    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. Sascha Kurz, 2014. "Measuring Voting Power in Convex Policy Spaces," Economies, MDPI, vol. 2(1), pages 1-33, March.
    6. Artyom Jelnov & Pavel Jelnov, 2019. "Success, Survival and Probabilistic Voting: The Case of a ruling Party," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 36(3), pages 209-226, December.
    7. Alexander Zaigraev & Serguei Kaniovski, 2012. "Bounds on the competence of a homogeneous jury," Theory and Decision, Springer, vol. 72(1), pages 89-112, January.
    8. 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.
    9. Serguei Kaniovski, 2010. "Aggregation of correlated votes and Condorcet’s Jury Theorem," Theory and Decision, Springer, vol. 69(3), pages 453-468, September.
    10. Kaniovski, Serguei, 2009. "An invariance result for homogeneous juries with correlated votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 213-222, March.
    11. 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.
    12. 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.
    13. 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.
    14. 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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