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Robust Voting

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  • Bassett, Gilbert W, Jr
  • Persky, Joseph

Abstract

The formal equivalence between social choice and statistical estimation means that criteria used to evaluate estimators can be interpreted as features of voting rules. The robustness of an estimator means, in the context of social choice, insensitivity to departures from majority opinion. In this paper, the authors consider the implications of substituting the median, a robust, high breakdown estimator, for Borda's mean. The robustness of the median makes the ranking method insensitive to outliers and reflect majority opinion. Among all methods that satisfy a majority condition, median ranks is the unique one that is monotonic. It is an attractive voting method when the goal is the collective assessment of the merits of alternatives. Copyright 1999 by Kluwer Academic Publishers

Suggested Citation

  • Bassett, Gilbert W, Jr & Persky, Joseph, 1999. "Robust Voting," Public Choice, Springer, vol. 99(3-4), pages 299-310, June.
    • Handle: RePEc:kap:pubcho:v:99:y:1999:i:3-4:p:299-310
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    Citations

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    Cited by:

    1. Ngoie, Ruffin-Benoît M. & Ulungu, Berthold E.-L., 2014. "Mean-median compromise method as an innovating voting rule in social choice theory," MPRA Paper 62938, University Library of Munich, Germany, revised 07 Jan 2015.
    2. Kaveh Madani & Laura Read & Laleh Shalikarian, 2014. "Voting Under Uncertainty: A Stochastic Framework for Analyzing Group Decision Making Problems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1839-1856, May.
    3. Diana Cheng & Peter Coughlin, 2017. "Using equations from power indices to analyze figure skating teams," Public Choice, Springer, vol. 170(3), pages 231-251, March.
    4. Bonifacio Llamazares & Teresa Peña, 2015. "Positional Voting Systems Generated by Cumulative Standings Functions," Group Decision and Negotiation, Springer, vol. 24(5), pages 777-801, September.
    5. Jean-François Laslier, 2011. "And the loser is... Plurality Voting," Working Papers hal-00609810, HAL.
    6. Jean-François Laslier, 2012. "On choosing the alternative with the best median evaluation," Public Choice, Springer, vol. 153(3), pages 269-277, December.
    7. Makowsky, Michael D., 2011. "Religion, clubs, and emergent social divides," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 74-87.
    8. Michael Ackerman & Sul-Young Choi & Peter Coughlin & Eric Gottlieb & Japheth Wood, 2013. "Elections with partially ordered preferences," Public Choice, Springer, vol. 157(1), pages 145-168, October.
    9. Majid Sheikhmohammady & D. Marc Kilgour & Keith W. Hipel, 2010. "Modeling the Caspian Sea Negotiations," Group Decision and Negotiation, Springer, vol. 19(2), pages 149-168, March.
    10. Gaertner, Wulf & Xu, Yongsheng, 2012. "A general scoring rule," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 193-196.
    11. Gilbert Laffond & Jean Lainé, 2012. "Searching for a Compromise in Multiple Referendum," Group Decision and Negotiation, Springer, vol. 21(4), pages 551-569, July.
    12. Dan Felsenthal & Nicolaus Tideman, 2014. "Weak Condorcet winner(s) revisited," Public Choice, Springer, vol. 160(3), pages 313-326, September.
    13. Mohammad Reza Alizadeh & Mohammad Reza Nikoo & Gholam Reza Rakhshandehroo, 2017. "Developing a Multi-Objective Conflict-Resolution Model for Optimal Groundwater Management Based on Fallback Bargaining Models and Social Choice Rules: a Case Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1457-1472, March.
    14. Cervone, Davide P. & Dai, Ronghua & Gnoutcheff, Daniel & Lanterman, Grant & Mackenzie, Andrew & Morse, Ari & Srivastava, Nikhil & Zwicker, William S., 2012. "Voting with rubber bands, weights, and strings," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 11-27.

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