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On the Manipulability of Proportional Representation

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Author Info
SLINKO, Arkadii
WHITE, Shaun
Abstract

This paper presents a new model of voter behaviour under methods of proportional representation (PR). We abstract away from rounding, and assume that a party securing k percent of the vote wins exactly k percent of the available seats. Under this assumption PR is not manipulable by any voter aiming at maximisation of the number of seats in the parliament of her most preferred party. However in this paper we assume that voters are concerned, first and foremost, with the distribution of power in the post-election parliament. We show that, irrespective of which positional scoring rule is adopted, there will always exist circumstances where a voter would have an incentive to vote insincerely. We demonstrate that a voter’s attitude toward uncertainty can influence her incentives to make an insincere vote. Finally, we show that the introduction of a threshold - a rule that a party must secure at least a certain percentage of the vote in order to reach parliament - creates new opportunities for strategic voting. We use the model to explain voter behaviour at the most recent New Zealand general election.

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Publisher Info
Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2006-20.

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Length: 17 pages
Date of creation: 2006
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Handle: RePEc:mtl:montde:2006-20

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Related research
Keywords: rliament choosing rule; ortional reesentation; wer index; strategic voting; manilability.;

Find related papers by JEL classification:
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. De Sinopoli, F. & Iannantuoni, G., 2005. "Extreme Voting under Proportional Representation: The Multidimensional Case," Cambridge Working Papers in Economics 0531, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  2. Austen-Smith, David & Banks, Jeffrey., 1987. "Elections, Coalitions, and Legislative Outcomes," Working Papers 643, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  3. Brams, S.J., 1995. "Game Theory and Emotions," Working Papers 95-23, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  4. DE SINOPOLI, Francesco & IANNANTUONI, Giovanna & ,, 2000. "A spatial voting model where proportional rule leads to two-party equilibria," CORE Discussion Papers 2000037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  5. Brams, Steven J. & Fishburn, Peter C., 2002. "Voting procedures," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 4, pages 173-236 Elsevier. [Downloadable!] (restricted)
    Other versions:
  6. Brams, Steven J. & Potthoff, Richard F., 1997. "Proportional Representation: Broadening the Options," Working Papers 97-06, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  7. Francesco De Sinopoli & Giovanna Iannantuoni, 2002. "Some Results On Strategic Voting And Proportional Representation With Multidimensional Policy Space," Economics Working Papers we025721, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  8. Saari, Donald G, 1990. " Susceptibility to Manipulation," Public Choice, Springer, vol. 64(1), pages 21-41, January.
  9. Cox, Gary W & Shugart, Matthew Soberg, 1996. "Strategic Voting under Proportional Representation," Journal of Law, Economics and Organization, Oxford University Press, vol. 12(2), pages 299-324, October.
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