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On the justice of voting systems

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Abstract

What are the best voting systems in terms of utilitarianism? Or in terms of maximin, or maximax? We study these questions for the case of three alternatives and a class of structurally equivalent voting rules. We show that plurality, arguably the most widely used voting system, performs very poorly in terms of remarkable ideals of justice, such as utilitarianism or maximin, and yet is optimal in terms of maximax. Utilitarianism is best approached by a voting system converging to the Borda count, while the best way to achieve maximin is by means of a voting system converging to negative voting. We study the robustness of our results across different social cultures, measures of performance, and population sizes.

Suggested Citation

  • Jose Apesteguia & Miguel A. Ballester & Rosa Ferrer, 2006. "On the justice of voting systems," Economics Working Papers 987, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:987
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    1. Börgers, Tilman & Postl, Peter, 2009. "Efficient compromising," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2057-2076, September.
    2. Philippe Aghion & Patrick Bolton, 2003. "Incomplete Social Contracts," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 38-67, March.
    3. Salvador Barbera & Matthew O. Jackson, 2004. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," The Quarterly Journal of Economics, Oxford University Press, vol. 119(3), pages 1011-1048.
    4. Jackson, Matthew O. & Barbera, Salvador, 2002. "Choosing How Choose: Self-Stable Majority Rules," Working Papers 1145, California Institute of Technology, Division of the Humanities and Social Sciences.
    5. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    6. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    7. Giovanni Maggi & Massimo Morelli, 2006. "Self-Enforcing Voting in International Organizations," American Economic Review, American Economic Association, vol. 96(4), pages 1137-1158, September.
    8. Nurmi, Hannu, 1983. "Voting Procedures: A Summary Analysis," British Journal of Political Science, Cambridge University Press, vol. 13(2), pages 181-208, April.
    9. DeMeyer, Frank & Plott, Charles R, 1970. "The Probability of a Cyclical Majority," Econometrica, Econometric Society, vol. 38(2), pages 345-354, March.
    10. Nicola Persico & Alessandro Lizzeri, 2001. "The Provision of Public Goods under Alternative Electoral Incentives," American Economic Review, American Economic Association, vol. 91(1), pages 225-239, March.
    11. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    12. Jonathan Levin & Barry Nalebuff, 1995. "An Introduction to Vote-Counting Schemes," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 3-26, Winter.
    13. Bordley, Robert F., 1983. "A Pragmatic Method for Evaluating Election Schemes through Simulation," American Political Science Review, Cambridge University Press, vol. 77(1), pages 123-141, March.
    14. Bård Harstad, 2005. "Majority Rules and Incentives," The Quarterly Journal of Economics, Oxford University Press, vol. 120(4), pages 1535-1568.
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    More about this item

    Keywords

    Voting; Scoring Rules; Utilitarianism; Maximin; Maximax; Impartial Culture Condition;
    All these keywords.

    JEL classification:

    • D00 - Microeconomics - - General - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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