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How to rank rankings? Group performance in multiple-prize contests

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  • Alejandro Corvalan

    (Universidad Diego Portales)

Abstract

When groups of individuals compete in several multiple-prize contests, the performance of a group is a vector of ordered categories. As the prizes are aimed at ranking the participants, group performances are not trivially comparable. This note provides a theoretical discussion on how to rank group performances. In order to do so, I draw from the parallel that this problem has with the formally similar problem of measuring inequality. I describe three alternatives that generate partial orders for group performances. I define partial orders based on the first- and second-order dominance, two classes of performance measures, and two sets of basic transformations, and I prove equivalence theorems between them. I apply these theoretical results to discuss several sports ranking problems.

Suggested Citation

  • Alejandro Corvalan, 2018. "How to rank rankings? Group performance in multiple-prize contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 361-380, August.
    • Handle: RePEc:spr:sochwe:v:51:y:2018:i:2:d:10.1007_s00355-018-1120-x
    DOI: 10.1007/s00355-018-1120-x
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    References listed on IDEAS

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    2. D'ora Gr'eta Petr'oczy & L'aszl'o Csat'o, 2019. "Revenue allocation in Formula One: a pairwise comparison approach," Papers 1909.12931, arXiv.org, revised Dec 2020.
    3. Ali Raza & Muhammad Farrukh & Muhammad Khalid Iqbal & Muhammad Farhan & Yihua Wu, 2021. "Corporate social responsibility and employees' voluntary pro‐environmental behavior: The role of organizational pride and employee engagement," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 28(3), pages 1104-1116, May.
    4. Ausloos, Marcel, 2024. "Hierarchy selection: New team ranking indicators for cyclist multi-stage races," European Journal of Operational Research, Elsevier, vol. 314(2), pages 807-816.
    5. L'aszl'o Csat'o, 2021. "A comparative study of scoring systems by simulations," Papers 2101.05744, arXiv.org, revised Jun 2022.

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