On the performance of voting systems in spatial voting simulations

  • Anghel Negriu
  • Cyrille Piatecki
Regular Article


We study the performance of voting systems in terms of minimizing the overall social disutility of making a collective choice in an univariate voting space with ideological voting and perfect information. In order to obtain a distribution of the performance indicator for each of the 12 systems chosen for this study—Baldwin’s Method, Black’s Method, The Borda Count, Bucklin’s Grand Junction System, Coombs’ Method, Dodgson’s System, Instant Run-Off Voting, Plurality, Simpson’s MinMax, Tideman’s Ranked Pairs, Schulze’s Beatpath Method, and Two-Round Majority—we simulate elections using an Agent-Based Computational approach under several different distributions for voters and candidates positioning, with up to 15 available candidates. At each iteration, voters generate complete and strict ordinal utility functions over the set of available candidates, based on which each voting system computes a winner. We define the performance of a system in terms of its capability of choosing among the available candidates the one that minimizes aggregate voter disutility. As expected, the results show an overall dominance of Condorcet completion methods over the traditional and more widely used voting systems, regardless of the distributions of voter and candidate positions.


Vote System Condorcet Winner Strategic Vote Collective Choice Borda Count 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Araripe L, Costa Filho R, Herrmann H, Andrade J Jr (2008) Plurality voting: the statistical laws of democracy in Brazil. Int J Modern Phys C 17(12): 1809–1813CrossRefGoogle Scholar
  2. Araújo N, Andrade J Jr, Herrmann H (2010) Tactical voting in plurality elections. doi: 10.1371/journal.pone.0012446 5:e12446
  3. Chamberlin J (1985) An investigation into the relative manipulability of four voting systems. Behav Sci 30(4): 195–203CrossRefGoogle Scholar
  4. Costa Filho R, Almeida M, Andrade J Jr, Moreira J (1999) Scaling behavior in a proportional voting process. Phys Rev E 60(1): 1067–1068CrossRefGoogle Scholar
  5. Costa Filho R, Almeida M, Moreira J, Andrade J Jr (2003) Brazilian elections: voting for a scaling democracy. Physica A 322: 698–700CrossRefGoogle Scholar
  6. Degan A, Merlo A (2009) Do voters vote ideologically?. J Econ Theory 144: 1868–1894CrossRefGoogle Scholar
  7. Downs A (1957) An economic theory of democracy. Harper & Row, New YorkGoogle Scholar
  8. Hotelling H (1929) Stability in competition. Econ J 39: 41–57CrossRefGoogle Scholar
  9. Hyndriks J, Myles G (2006) Intermediate Public Economics. The MIT Press, Cambridge, MAGoogle Scholar
  10. Palfrey R (1989) A mathematical proof of Duverger’s law. In: Ordeshook P (eds) Models of strategic choice in politics. University of Michigan Press, Michigan, pp 69–92Google Scholar
  11. Pattie C RJ (2000) People who talk together vote together. Ann Assoc Am Geogr 90(1): 41–66CrossRefGoogle Scholar
  12. Restrepo J, Rael R, Hyman J (2009) Modeling the influence of polls on elections: a population dynamics approach. Public Choice 140(3–4): 395–420CrossRefGoogle Scholar
  13. Sheskin, D (eds) (2000) Handbook of Parametric and Nonparametric Statistical Procedures. Chapman & Hall, LondonGoogle Scholar
  14. Sznajd-Weron K, Sznajd J (2000) Opinion evolution in closed community. Int J Modern Phys C 11(6): 1157–1165CrossRefGoogle Scholar
  15. Tideman T (2006) Collective decisions and voting: the potential for public choice. Ashgate Publishing Ltd., AldershotGoogle Scholar
  16. Vander Straeten K, Laslier J, Sauger N, Blais A (2010) Strategic, sincere, and heuristic voting under four election rules: an experimental study. Soc Choice Welf 35(3): 435–472CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.AmsterdamThe Netherlands
  2. 2.LEO—University of OrlèansOrlèansFrance

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