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Plurality versus proportional electoral rule: study of voters' representativeness

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  • Amedeo Piolatto

    (Universidad de Alicante)

Abstract

Thinking of electoral rules, common wisdom suggests that proportional rule is more fair, since all voters are equally represented: at times, it turns out that this is false. I study the formation of both Parliament and Government; for the composition of the former I consider plurality and proportional rule; for the formation of the latter, I assume that parties play a non-cooperative game à la Rubinstein. I show that, unless parties are impatient to form a Government, proportional electoral rules translate into a more distortive distribution of power among parties than plurality rule; this happens because of the bargaining power of small parties during Government formation.

Suggested Citation

  • Amedeo Piolatto, 2009. "Plurality versus proportional electoral rule: study of voters' representativeness," Working Papers. Serie AD 2009-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2009-14
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Diermeier, Daniel & Eraslan, Hülya & Merlo, Antonio, 2007. "Bicameralism and Government Formation," Quarterly Journal of Political Science, now publishers, vol. 2(3), pages 227-252, August.
    3. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    4. Diermeier, Daniel & Van Roozendaal, Peter, 1998. "The Duration of Cabinet Formation Processes in Western Multi-Party Democracies," British Journal of Political Science, Cambridge University Press, vol. 28(4), pages 609-626, October.
    5. Tasos Kalandrakis, 2006. "Proposal Rights and Political Power," American Journal of Political Science, John Wiley & Sons, vol. 50(2), pages 441-448, April.
    6. Norman Schofield, 1986. "Existence of a ‘structurally stable’ equilibrium for a non-collegial voting rule," Public Choice, Springer, vol. 51(3), pages 267-284, January.
    7. 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.
    8. Emmanuelle Auriol & Robert Gary-Bobo, 2012. "On the optimal number of representatives," Public Choice, Springer, vol. 153(3), pages 419-445, December.
    9. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
    10. Baron, David P., 1993. "Government Formation and Endogenous Parties," American Political Science Review, Cambridge University Press, vol. 87(1), pages 34-47, March.
    11. Diermeier, Daniel & Merlo, Antonio, 2004. "An empirical investigation of coalitional bargaining procedures," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 783-797, March.
    12. Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    13. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2002. "Bicameralism and Government Formation, Second Version," PIER Working Paper Archive 07-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Feb 2007.
    14. Amer, Rafael & Carreras, Francese & Gimenez, Jose Miguel, 2002. "The modified Banzhaf value for games with coalition structure: an axiomatic characterization," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 45-54, January.
    15. Menner, Martin, 2007. "The role of search frictions for output and inflation dynamics: a Bayesian assessment," UC3M Working papers. Economics we076235, Universidad Carlos III de Madrid. Departamento de Economía.
    16. David P. Baron & Daniel Diermeier, 2001. "Elections, Governments, and Parliaments in Proportional Representation Systems," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 933-967.
    17. Bandyopadhyay, Siddhartha & Oak, Mandar P., 2008. "Coalition governments in a model of parliamentary democracy," European Journal of Political Economy, Elsevier, vol. 24(3), pages 554-561, September.
    18. Leiserson, Michael, 1968. "Factions and Coalitions in One-Party Japan: An Interpretation Based on the Theory of Games," American Political Science Review, Cambridge University Press, vol. 62(3), pages 770-787, September.
    19. Austen-Smith, David & Banks, Jeffrey, 1988. "Elections, Coalitions, and Legislative Outcomes," American Political Science Review, Cambridge University Press, vol. 82(2), pages 405-422, June.
    20. 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.
    21. Austen-Smith, David & Banks, Jeffrey, 1990. "Stable Governments and the Allocation of Policy Portfolios," American Political Science Review, Cambridge University Press, vol. 84(3), pages 891-906, September.
    22. Banks, Jeffrey s. & Duggan, John, 2000. "A Bargaining Model of Collective Choice," American Political Science Review, Cambridge University Press, vol. 94(1), pages 73-88, March.
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    Cited by:

    1. Gianmarco Daniele & Amedeo Piolatto & Willem Sas, 2018. "Who Sent You? Strategic Voting, Transfers and Bailouts in a Federation," Working Papers. Serie AD 2018-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Sonia Oreffice & Climent Quintana, 2009. "Anthropometry and Socioeconomics in the Couple: Evidence from the PSID," Working Papers 2009-22, FEDEA.
    3. Felix Arnold, 2013. "German MPs' Outside Jobs and Their Repercussions on Parliamentary Effort," Discussion Papers of DIW Berlin 1340, DIW Berlin, German Institute for Economic Research.
    4. Gianmarco Daniele & Amedeo Piolatto & Willem Sas, 2020. "Does the Winner Take It All? Redistributive Policies and Political Extremism," Working Papers 1157, Barcelona School of Economics.
    5. Stadelmann, David & Portmann, Marco & Eichenberger, Reiner, 2014. "The law of large districts: How district magnitude affects the quality of political representation," European Journal of Political Economy, Elsevier, vol. 35(C), pages 128-140.

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    More about this item

    Keywords

    electoral systems; proportional rule; plurality rule; voters¿ representation.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H1 - Public Economics - - Structure and Scope of Government
    • P16 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - Capitalist Institutions; Welfare State

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