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Optimal Apportionment

  • Yukio Koriyama
  • Jean-Fran�ois Laslier
  • Antonin Mac�
  • Rafael Treibich

This paper provides a theoretical foundation that supports the degressive proportionality principle in apportionment problems, such as the allocation of seats in a federal parliament. The utility assigned by an individual to a constitutional rule is a function of the frequency with which each collective decision matches the individual’s own will. The core of the argument is that, if the function is concave, then classical utilitarianism at the social level recommends decision rules that exhibit degressive proportionality with respect to the population size.

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File URL: http://www.jstor.org/stable/pdfplus/10.1086/670380
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File URL: http://www.jstor.org/stable/full/10.1086/670380
Download Restriction: Access to the online full text or PDF requires a subscription.

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Article provided by University of Chicago Press in its journal Journal of Political Economy.

Volume (Year): 121 (2013)
Issue (Month): 3 ()
Pages: 584 - 608

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Handle: RePEc:ucp:jpolec:doi:10.1086/670380
Contact details of provider: Web page: http://www.journals.uchicago.edu/JPE/

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  1. Jean-François Laslier, 2011. "Why not proportional?," Working Papers hal-00625308, HAL.
  2. Felsenthal, Dan S. & Machover, Moshe, 1999. "Minimizing the mean majority deficit: The second square-root rule," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 25-37, January.
  3. repec:cup:cbooks:9780521873871 is not listed on IDEAS
  4. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar, number 1489.
  5. Gelman, Andrew & Katz, Jonathan N. & Bafumi, Joseph, 2002. "Standard Voting Power Indexes Don't Work: An Empirical Analysis," Working Papers 1133, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Macé, Antonin & Treibich, Rafael, 2012. "Computing the optimal weights in a utilitarian model of apportionment," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 141-151.
  7. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer, vol. 24(1), pages 171-197, January.
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