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Endogenous choice of electoral rules in a multi-party system with two dominant parties

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Xefteris, Dimitrios and Matakos, Kostas (2009) Endogenous choice of electoral rules in a multi-party system with two dominant parties. Working Paper. University of Warwick, Economics Department, University of Warwick.

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Abstract

We develop a model of endogenous choice of electoral rules in a multiparty system with two dominant parties, in an environment of uncertainty about the outcome of the election. Using quasi-lexicographic preferences over the number of seats necessary for a party to form a single-party government we explore the choice of the electoral law by the parties. We show that the minor parties never agree to an electoral reform that distorts the Proportional Representation system (PR). We also show that when the electoral competition among the two dominant parties is non-trivial there exists a unique and stable equilibrium: a unique new electoral rule is being adapted by the parliament in substitution of the PR rule. That is we show that when uncertainty about the outcome of the elections is present and if the dominant parties have a strong desire for single-party governments then strategic incentives to collude between them and distort the PR rule kick in. Hence, by colluding they also increase the probability that the winner will form a single-party government. The paper in e¤ect shows that under an uncertain political environment the two dominant parties have an incentive to collude in favour of stability (single-party governments) by eliminating the e¤ect of the third party in the formation of government. To conclude we also show that the equilibrium with the above characteristic is also unique. In an extension we use the timing of the electoral reform as a strategic variable.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: J Political Science > JF Political institutions (General)
Divisions: Faculty of Social Sciences > Economics
Library of Congress Subject Headings (LCSH): Elections -- Mathematical models, Proportional representation, Election law
Series Name: The Warwick Economics Research Paper Series (TWERPS)
Publisher: University of Warwick
Place of Publication: Economics Department, University of Warwick
Date: 2009
Volume: Vol.2009
Number: No.917
Status: Not Peer Reviewed
Access rights to Published version: Open Access
References: [1] Andrews J.T. and Robert W. Jackman, "Strategic fools: electoral rule choice under extreme uncertainty", Electoral Studies, Vol. 24(1), 2005, pp. 65-84. [2] Bandyopadhyay S., Chatterjee K. and Tomas Sjöström, "Pre-electoral Coalitions and Post-electoral Bargaining", Working Paper No: 2009-08 (mimeo), Rutgers University, September 2009. [3] Barbera S. and Matthew O. Jackson, "Choosing How to Choose: Self-Stable Majority Rules and Constitutions", Quarterly Journal of Economics, Vol. 119(3), 2004, pp. 1011- 1048. [4] Benoit K., "Models of Electoral System Change", Electoral Studies, Vol. 23, 2004, pp. 363-389. [5] Blais A., "The Debate over Electoral Systems", International Political Science Review, Vol. 12(3), 1991, pp. 239-260. [6] Boix C., "Setting the Rules of the Game: The Choice of Electoral Systems in Advanced Democracies", The American Political Science Review, Vol. 93(3), 1999, pp. 609-624. [7] Colomer J.M., "It's Parties that Choose Electoral Systems (or, Duverger's Laws Upside Down)", Political Studies, vol. 53, 2005, pp. 1-21. [8] Cox G.W., "Duverger's law and strategic voting", unpublished paper (mimeo), Depart- ment of Political Science, University of California at San Diego, 1987. [9] Cox G.W., "Centripetal and Centrifugal Incentives in Electoral Systems", American Journal of Political Science, Vol. 34(4), 1990, pp. 903-935. [10] Cox G.W., "Making Votes Count: Strategic Coordination in the World's Electoral Systems", Cambridge University Press, New York, 1997. [11] Duverger M., "Political Parties: Their Organization and Activity in the Modern State", Wiley Press, New York, 1951. [12] Ergun S.J., "From Plurality Rule to Proportional Representation", unpublished paper (mimeo), Universitat Autonoma de Barcelona, 2007. [13] Feddersen, T.J., "Sophisticated Voting and Candidate Entry Under Plurality Rule", American Journal of Political Science. vol. 34, 1990, pp. 1005. [14] Feddersen T.J., Itai Sened and Stephen G. Wright, "Rational Voting and Candidate Entry under Plurality Rule", American Journal of Political Science, Vol. 34(4), 1990, pp. 1005-1016. [15] Feddersen T.J., "A Voting Model Implying Duverger's Law and Positive Turnout", American Journal of Political Science. vol. 36(4), 1992. pp. 938. [16] Fey M., "Stability and Coordination in Duverger's Law: A Formal Model of Preelection Polls and Strategic Voting", The American Political Science Review, vol. 91, 1997, pp. 135. [17] Katz R.S., "Democracy and Elections", Oxford University Press, New York, 1997. [18] Norris P., "Choosing Electoral Systems: Proportional, Majoritarian and Mixed Sys- tems", International Political Science Review, Vol. 18(3), 1997, pp. 297-312. [19] Palfrey T.R., "Spatial Equilibrium with Entry", The Review of Economic Studies, Vol. 51(1 ), 1984, pp. 139-156.
URI: http://wrap.warwick.ac.uk/id/eprint/3549

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