Corpus ID: 195886131

How should we score athletes and candidates: geometric scoring rules

@article{Kondratev2019HowSW,
  title={How should we score athletes and candidates: geometric scoring rules},
  author={Aleksei Y. Kondratev and Egor Ianovski and Alexander S. Nesterov},
  journal={ArXiv},
  year={2019},
  volume={abs/1907.05082}
}
  • Aleksei Y. Kondratev, Egor Ianovski, Alexander S. Nesterov
  • Published 2019
  • Computer Science
  • ArXiv
  • Individual rankings are often aggregated using scoring rules: each position in each ranking brings a certain score; the total sum of scores determines the aggregate ranking. We study whether scoring rules can be robust to adding or deleting particular candidates, as occurs with spoilers in political elections and with athletes in sports due to doping allegations. In general the result is negative, but weaker robustness criteria pin down a one-parameter family of geometric scoring rules with the… CONTINUE READING
    3 Citations

    Tables and Topics from this paper

    A comparative study of scoring systems by simulations
    • L. Csató
    • Computer Science, Mathematics
    • ArXiv
    • 2021
    • Highly Influenced
    • PDF
    Fair and consistent prize allocation in competitions
    • 1
    • PDF

    References

    SHOWING 1-10 OF 55 REFERENCES
    Monotonicity paradoxes in three-candidate elections using scoring elimination rules
    • 13
    • PDF
    Scoring rules and social choice properties: some characterizations
    • 12
    • PDF
    Axiomatic Characterization of Committee Scoring Rules
    • 30
    • PDF
    Preference voting and project ranking using DEA and cross-evaluation
    • 297
    Inverted orders for monotone scoring rules
    • P. Fishburn
    • Mathematics, Computer Science
    • Discret. Appl. Math.
    • 1981
    • 43
    • PDF
    Measuring majority power and veto power of voting rules
    • 4
    • PDF
    Social Choice Scoring Functions
    • 379
    • PDF