The Desired Political Entropy

Part of the Advanced Studies in Theoretical and Applied Econometrics book series (ASTA, volume 25)


In an article published in the December 30, 1967 issue of the Dutch weekly magazine Vrij Nederland, Mr. Frans Grosfeld suggested the following modification of the procedure of parliamentary representation of political parties. Instead of the conventional method of allocating to each party a number of representatives proportional to the number of votes cast for the party, he proposed to allocate a number of representatives which is proportional to the square of the number of votes. Thus, when there are n parties and when p 1 ,…, p n are the proportions of the total number of votes obtained by these parties, the idea is to allocate a fraction q i of the representatives to the ith party determined by
$$ {q_i} = p_i^2/\sum\limits_{{j = 1}}^n {p_j^2\;\;\;i = 1, \cdots, \;n} $$


Proportional Representation Large Party American Political Science Association Parliamentary Seat Entropy Constraint 
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  1. 9.
    For details, see e.g. Economics and Information Theory (quoted in footnote 3), p. 7, or B.O. Koopman and G.E. Kimball, “Information Theory,” Chapter 9 of Notes on Operations Research 1959, assembled by the Operations Research Center, Massachusetts Institute of Technology (Cambridge, Mass.: The Technology Press, M.I.T., 1959).Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  1. 1.University of ChicagoChicagoUSA

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