IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1911.05044.html
   My bibliography  Save this paper

Combinatorial Models of Cross-Country Dual Meets: What is a Big Victory?

Author

Listed:
  • Kurt S. Riedel

Abstract

Combinatorial/probabilistic models for cross-country dual-meets are proposed. The first model assumes that all runners are equally likely to finish in any possible order. The second model assumes that each team is selected from a large identically distributed population of potential runners and with each potential runner's ranking determined by the initial draw from the combined population.

Suggested Citation

  • Kurt S. Riedel, 2019. "Combinatorial Models of Cross-Country Dual Meets: What is a Big Victory?," Papers 1911.05044, arXiv.org.
    • Handle: RePEc:arx:papers:1911.05044
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1911.05044
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Boudreau, James W. & Sanders, Shane, 2015. "Choosing “Flawed” aggregation rules: The benefit of social choice violations in a league that values competitive balance," Economics Letters, Elsevier, vol. 137(C), pages 106-108.
    2. Franklin G. Mixon Jr. & Ernest W. King, 2012. "Social Choice Theory in 10,000 Meters: Examining Independence and Transitivity in the Ncaa Cross-Country Championships," The American Economist, Sage Publications, vol. 57(1), pages 32-41, May.
    3. Boudreau, James & Ehrlich, Justin & Sanders, Shane & Winn, Adam, 2014. "Social choice violations in rank sum scoring: A formalization of conditions and corrective probability computations," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 20-29.
    4. James Boudreau & Justin Ehrlich & Mian Farrukh Raza & Shane Sanders, 2018. "The likelihood of social choice violations in rank sum scoring: algorithms and evidence from NCAA cross country running," Public Choice, Springer, vol. 174(3), pages 219-238, March.
    5. Thomas Hammond, 2007. "Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles," Public Choice, Springer, vol. 133(3), pages 359-375, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. James Boudreau & Justin Ehrlich & Mian Farrukh Raza & Shane Sanders, 2018. "The likelihood of social choice violations in rank sum scoring: algorithms and evidence from NCAA cross country running," Public Choice, Springer, vol. 174(3), pages 219-238, March.
    3. Justin Ehrlich & Simon Medcalfe & Shane Sanders, 2021. "Composite Index Ranking of Economic Well-Being in U.S. Metropolitan Areas: How Prevalent are Rank Anomalies?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 157(2), pages 543-562, September.
    4. Shane Sanders & Justin Ehrlich & James Boudreau, 2017. "Cycles in Team Tennis and Other Paired-Element Contests," Games, MDPI, vol. 8(3), pages 1-14, June.
    5. Boudreau, James W. & Sanders, Shane, 2015. "Choosing “Flawed” aggregation rules: The benefit of social choice violations in a league that values competitive balance," Economics Letters, Elsevier, vol. 137(C), pages 106-108.
    6. Haikady N Nagaraja & Shane Sanders, 2020. "The aggregation paradox for statistical rankings and nonparametric tests," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-21, March.
    7. Boudreau, James & Ehrlich, Justin & Sanders, Shane & Winn, Adam, 2014. "Social choice violations in rank sum scoring: A formalization of conditions and corrective probability computations," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 20-29.
    8. Simon Medcalfe, 2018. "Economic Well-Being in U.S. Metropolitan Statistical Areas," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 1147-1167, October.
    9. Ram Sewak Dubey & Giorgio Laguzzi, 2022. "How rare are the properties of binary relations?," Papers 2202.05229, arXiv.org.
    10. Franklin G. Mixon Jr. & Ernest W. King, 2012. "Social Choice Theory in 10,000 Meters: Examining Independence and Transitivity in the Ncaa Cross-Country Championships," The American Economist, Sage Publications, vol. 57(1), pages 32-41, May.
    11. Shane Sanders & Joel Potter & Justin Ehrlich & Justin Perline & Christopher Boudreaux, 2021. "Informed voters and electoral outcomes: a natural experiment stemming from a fundamental information-technological shift," Public Choice, Springer, vol. 189(1), pages 257-277, October.
    12. Justin A. Ehrlich & Shankar Ghimire & Thomas R. Sadler & Shane D. Sanders, 2023. "Policy and Policy Response on the Court: A Theoretical and Empirical Examination of the Three-Point Line Extension in Basketball," Journal of Sports Economics, , vol. 24(2), pages 159-173, February.
    13. Domingo Docampo & Lawrence Cram, 2014. "On the internal dynamics of the Shanghai ranking," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(2), pages 1347-1366, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1911.05044. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.