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Erratum to: Voting power and proportional representation of voters

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  • Artyom Jelnov

  • Yair Tauman

Abstract

We prove that for the proportional representative election system if parties’ sizes are uniformly distributed on the simplex, the expected ratio of a party size to its political power, measured by the Shapley–Shubik index, converges to $$1$$ 1 , as the number $$n$$ n of parties increases indefinitely. The rate of convergence is high and it is of the magnitude of $$\frac{1}{n}$$ 1 n . Empirical evidence from the Netherlands elections supports our result. A comparison with the Banzhaf index is provided. Copyright Springer-Verlag Berlin Heidelberg 2014
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Suggested Citation

  • Artyom Jelnov & Yair Tauman, 2015. "Erratum to: Voting power and proportional representation of voters," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 1049-1049, November.
    • Handle: RePEc:spr:jogath:v:44:y:2015:i:4:p:1049-1049
    DOI: 10.1007/s00182-015-0483-9
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    2. Boratyn, Daria & Kirsch, Werner & Słomczyński, Wojciech & Stolicki, Dariusz & Życzkowski, Karol, 2020. "Average weights and power in weighted voting games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 90-99.
    3. 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.
    4. Xavier Molinero & Maria Serna & Marc Taberner-Ortiz, 2021. "On Weights and Quotas for Weighted Majority Voting Games," Games, MDPI, vol. 12(4), pages 1-25, December.
    5. Matteo Migheli, 2016. "Measuring Representativeness in Different Electoral Systems, Using Italian and Dutch Data," Group Decision and Negotiation, Springer, vol. 25(4), pages 723-748, July.

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