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A Dynamic Duverger's Law

Author

Listed:
  • Jean Guillaume Forand

    (Department of Economics, University of Waterloo)

  • Vikram Maheshri

    (Department of Economics, University of Houston)

Abstract
Electoral systems promote strategic voting and affect party systems. Duverger (1951) proposed that plurality rule leads to bi-partyism and proportional representation leads to multi-partyism. We show that in a dynamic setting, these static effects also lead to a higher option value for existing minor parties under plurality rule, so their incentive to exit the party system is mitigated by their future benefits from continued participation. The predictions of our model are consistent with multiple cross-sectional predictions on the comparative number of parties under plurality rule and proportional representation. In particular, there could be more parties under plurality rule than under proportional representation at any point in time. However, our model makes a unique time-series prediction: the number of parties under plurality rule should be less variable than under proportional representation. We provide extensive empirical evidence in support of these results.

Suggested Citation

  • Jean Guillaume Forand & Vikram Maheshri, 2013. "A Dynamic Duverger's Law," Working Papers 1304, University of Waterloo, Department of Economics, revised Sep 2015.
  • Handle: RePEc:wat:wpaper:1304
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    References listed on IDEAS

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    1. Chhibber, Pradeep & Kollman, Ken, 1998. "Party Aggregation and the Number of Parties in India and the United States," American Political Science Review, Cambridge University Press, vol. 92(2), pages 329-342, June.
    2. Massimo Morelli, 2004. "Party Formation and Policy Outcomes under Different Electoral Systems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 829-853.
    3. Fujiwara, Thomas, 2011. "A Regression Discontinuity Test of Strategic Voting and Duverger's Law," Quarterly Journal of Political Science, now publishers, vol. 6(3–4), pages 197-233, November.
    4. Blais, André & Carty, R. K., 1991. "The Psychological Impact of Electoral Laws: Measuring Duverger's Elusive Factor," British Journal of Political Science, Cambridge University Press, vol. 21(1), pages 79-93, January.
    5. Helios Herrera & Massimo Morelli & Thomas Palfrey, 2014. "Turnout and Power Sharing," Economic Journal, Royal Economic Society, vol. 124(574), pages 131-162, February.
    6. Riker, William H., 1982. "The Two-party System and Duverger's Law: An Essay on the History of Political Science," American Political Science Review, Cambridge University Press, vol. 76(4), pages 753-766, December.
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    Cited by:

    1. Mahajan, Aseem & Pongou, Roland & Tondji, Jean-Baptiste, 2023. "Supermajority politics: Equilibrium range, policy diversity, utilitarian welfare, and political compromise," European Journal of Operational Research, Elsevier, vol. 307(2), pages 963-974.
    2. J. Stephen Ferris & Bharatee Bhusana Dash, 2023. "On the structure of the political party system in Indian states, 1957–2018," Constitutional Political Economy, Springer, vol. 34(1), pages 1-35, March.
    3. J. Stephen Ferris & Stanley L. Winer & Derek Olmstead, 2018. "A Dynamic Model of Political Party Equilibrium: The Evolution of ENP in Canada, 1870–2015," Carleton Economic Papers 18-04, Carleton University, Department of Economics, revised 31 Jul 2019.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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