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On the Manipulability of Proportional Representation

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  • 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.

Suggested Citation

  • SLINKO, Arkadii & WHITE, Shaun, 2006. "On the Manipulability of Proportional Representation," Cahiers de recherche 2006-20, Universite de Montreal, Departement de sciences economiques.
  • Handle: RePEc:mtl:montde:2006-20
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    File URL: http://hdl.handle.net/1866/2155
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    References listed on IDEAS

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    1. Iannantuoni, Giovanna & De Sinopoli, Francesco, 2002. "Some results on strategic voting and proportional representation with multidimensional policy space," UC3M Working papers. Economics we025721, Universidad Carlos III de Madrid. Departamento de Economía.
    2. Francesco Sinopoli & Giovanna Iannantuoni, 2007. "A spatial voting model where proportional rule leads to two-party equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(2), pages 267-286, January.
    3. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    4. 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.
    5. 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.
    6. Francesco Sinopoli & Giovanna Iannantuoni, 2008. "Extreme voting under proportional representation: the multidimensional case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 401-417, April.
    7. Saari, Donald G, 1990. "Susceptibility to Manipulation," Public Choice, Springer, vol. 64(1), pages 21-41, January.
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    More about this item

    Keywords

    rliament choosing rule; ortional reesentation; wer index; strategic voting; manilability.;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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