On the Manipulability of Proportional Representation
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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- Francesco Sinopoli & Giovanna Iannantuoni, 2007.
"A spatial voting model where proportional rule leads to two-party equilibria,"
International Journal of Game Theory,
Springer, vol. 35(2), pages 267-286, January.
- 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).
- Francesco De Sinopoli & Giovanna Iannantuoni, 2003. "A Spatial Voting Model Where Proportional Rule Leads to Two-Party Equilibria," CEIS Research Paper 31, Tor Vergata University, CEIS.
- Francesco De Sinopoli & Giovanna Iannantuoni, 2005.
"Extreme Voting Under Proportional Representation:The Multidimensional Case,"
Economics Working Papers
we053421, Universidad Carlos III, Departamento de Economía.
- Francesco Sinopoli & Giovanna Iannantuoni, 2008. "Extreme voting under proportional representation: the multidimensional case," Social Choice and Welfare, Springer, vol. 30(3), pages 401-417, April.
- 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.
- 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.
- 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.
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