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A Quantitative and Qualitative Analysis of the Robustness of (Real-World) Election Winners

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Listed:
  • Niclas Boehmer
  • Robert Bredereck
  • Piotr Faliszewski
  • Rolf Niedermeier

Abstract

Contributing to the toolbox for interpreting election results, we evaluate the robustness of election winners to random noise. We compare the robustness of different voting rules and evaluate the robustness of real-world election winners from the Formula 1 World Championship and some variant of political elections. We find many instances of elections that have very non-robust winners and numerous delicate robustness patterns that cannot be identified using classical and simpler approaches.

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  • Niclas Boehmer & Robert Bredereck & Piotr Faliszewski & Rolf Niedermeier, 2022. "A Quantitative and Qualitative Analysis of the Robustness of (Real-World) Election Winners," Papers 2208.13760, arXiv.org.
  • Handle: RePEc:arx:papers:2208.13760
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    References listed on IDEAS

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    1. Sarwate Anand D. & Checkoway Stephen & Shacham Hovav, 2013. "Risk-limiting Audits and the Margin of Victory in Nonplurality Elections," Statistics, Politics and Policy, De Gruyter, vol. 4(1), pages 29-64, January.
    2. Nathaniel Beck, 1975. "A note on the probability of a tied election," Public Choice, Springer, vol. 23(1), pages 75-79, September.
    3. Raphael Gillett, 1980. "The comparative likelihood of an equivocal outcome under the plurality, Condorcet, and Borda voting procedures," Public Choice, Springer, vol. 35(4), pages 483-491, January.
    4. Thierry Marchant, 2001. "The probability of ties with scoring methods: Some results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 709-735.
    5. Mulligan, Casey B & Hunter, Charles G, 2003. "The Empirical Frequency of a Pivotal Vote," Public Choice, Springer, vol. 116(1-2), pages 31-54, July.
    6. Niclas Boehmer & Robert Bredereck & Piotr Faliszewski & Rolf Niedermeier & Stanis{l}aw Szufa, 2021. "Putting a Compass on the Map of Elections," Papers 2105.07815, arXiv.org.
    7. Lirong Xia, 2020. "How Likely Are Large Elections Tied?," Papers 2011.03791, arXiv.org, revised Jul 2021.
    8. Chamberlain, Gary & Rothschild, Michael, 1981. "A note on the probability of casting a decisive vote," Journal of Economic Theory, Elsevier, vol. 25(1), pages 152-162, August.
    9. Howard Margolis, 1977. "Probability of a tie election," Public Choice, Springer, vol. 31(1), pages 135-138, September.
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