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The Impact of Voter Indifference

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Elections, Voting Rules and Paradoxical Outcomes

Part of the book series: Studies in Choice and Welfare ((WELFARE))

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Abstract

Situations are considered for which voters have preferences on candidates that contain some level of indifference between candidates, so that voting rules like Borda Rule cannot be directly implemented. The Forced Ranking Option, which simply resolves this issue by requiring voters to arbitrarily break indifference ties and report a complete ranking on the candidates, is shown to be a very poor solution to this problem. The implementation of an Extended Borda Rule that modifies Borda Rule to accommodate the existence of such indifference is found to dominate the Forced Ranking Option. Approval Voting is also an attractive option to use when voter indifference exists, but it is found that Approval Voting will never have superior performance when it is compared to Extended Borda Rule on the basis of Condorcet Efficiency.

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References

  • Arrington, T. S., & Brenner, S. (1984). Another look at approval voting. Polity, 17, 118–134.

    Article  Google Scholar 

  • Baujard, A., & Igersheim, H. (2009). Expérimentation du vote par note et du vote par approbation le 22 avril 2007: Premiers résultats. Revue Economique, 60, 189–201.

    Article  Google Scholar 

  • Brams, S. J., & Fishburn, P. C. (1978). Approval voting. American Political Science Review, 72, 831–847.

    Article  Google Scholar 

  • Brams, S. J., & Fishburn, P. C. (1983). Approval voting. Boston: Birkhäuser.

    Google Scholar 

  • Brams, S. J., & Fishburn, P. C. (2005). Going from theory to practice: The mixed success of approval voting. Social Choice and Welfare, 25, 457–474.

    Article  Google Scholar 

  • de Condorcet, M. (1788). On the constitution and the functions of provincial assemblies. In I. McLean & F. Hewitt (Eds.), Condorcet: Foundations of social choice and political theory (pp. 139–147). Hants: Edward Elgar.

    Google Scholar 

  • de Condorcet, M. (1789). On the form of good elections. In I. McLean & F. Hewitt (Eds.), Condorcet: Foundations of social choice and political theory (pp. 169–189). Hants: Edward Elgar.

    Google Scholar 

  • Diss, M., Merlin, V., & Valognes, F. (2010). On the Condorcet efficiency of approval voting and extended scoring rules for three alternatives. In J.-F. Laslier & R. M. Sanver (Eds.), Handbook on approval voting (pp. 255–283). Berlin: Springer.

    Chapter  Google Scholar 

  • Fishburn, P. C., & Gehrlein, W. V. (1980). The paradox of voting: Effects of individual indifference and intransitivity. Journal of Public Economics, 14, 83–94.

    Article  Google Scholar 

  • Friese, E., Gehrlein, W. V., Lepelley, D., & Schürmann, A. (2016). The impact of dependence among voters’ preferences with partial indifference. Quality and Quantity. doi:10.1007/s11135-016-0446-7.

  • Gehrlein, W. V. (2010). The impact of forcing preference rankings when indifference exists. In A. Van Deemen & A. Rusinowska (Eds.), Collective decision making: Views from social choice and game theory (pp. 17–29). Berlin: Springer.

    Chapter  Google Scholar 

  • Gehrlein, W. V., & Lepelley, D. (1998). The Condorcet Efficiency of approval voting and the probability of electing the Condorcet loser. Journal of Mathematical Economics, 29, 271–283.

    Article  Google Scholar 

  • Gehrlein, W. V., & Lepelley, D. (2011). Voting paradoxes and group coherence: The Condorcet Efficiency of voting rules. Berlin: Springer.

    Book  Google Scholar 

  • Gehrlein, W. V., & Lepelley, D. (2015). The Condorcet Efficiency advantage that voter indifference gives to approval voting over some other voting rules. Group Decision and Negotiation, 24, 243–269.

    Article  Google Scholar 

  • Gehrlein, W. V., & Lepelley, D. (2017). The limiting probability of a Borda Paradox. Technical Note at: www.researchgate.net/publication/314390895_The_Limiting_Probability_of_a_Strong_Borda_Paradox

  • Gehrlein, W. V., & Valognes, F. (2001). Condorcet efficiency: A preference for indifference. Social Choice and Welfare, 18, 193–205.

    Article  Google Scholar 

  • Gehrlein, W. V., Lepelley, D., & Moyouwou, I. (2016). A note on approval voting and electing the Condorcet loser. Mathematical Social Sciences, 80, 115–122.

    Article  Google Scholar 

  • Guilbaud, G. T. (1952). Les théories de l’intérêt général et le problème logique de l’agrégation. Economie Appliquée, 5, 501–584.

    Google Scholar 

  • Inada, K. (1964). A note on simple majority decision rule. Econometrica, 32, 525–531.

    Article  Google Scholar 

  • Laslier, J. F., & Sanver, M. R. (2010). Handbook on approval voting. Berlin: Springer.

    Book  Google Scholar 

  • Laslier, J. F., & Van der Straeten, K. (2003). Approval voting: An experiment during the French 2002 presidential election. Presented at Third International Conference on Logic, Game Theory and Social Choice, September 2003, Siena, Italy (pp. 294–297).

    Google Scholar 

  • Niemi, R. G. (1984). The problem of strategic behavior under approval voting. American Political Science Review, 78, 952–958.

    Article  Google Scholar 

  • Radcliff, B. (1993). The structure of voter preferences. Journal of Politics, 55, 714–719.

    Article  Google Scholar 

  • Saari, D. G., & Van Newenhizen, J. (1988). The problem of indeterminacy in approval, multiple and truncated voting systems. Public Choice, 59, 101–120.

    Article  Google Scholar 

  • Weber, R. J. (1978). Multiply weighted voting systems. Yale University, unpublished manuscript.

    Google Scholar 

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Gehrlein, W.V., Lepelley, D. (2017). The Impact of Voter Indifference. In: Elections, Voting Rules and Paradoxical Outcomes. Studies in Choice and Welfare. Springer, Cham. https://doi.org/10.1007/978-3-319-64659-6_6

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