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How to design a multi-stage tournament when some results are carried over?

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  • László Csató

    (Institute for Computer Science and Control (SZTAKI), Eötvös Loránd Research Network (ELKH)
    Corvinus University of Budapest (BCE))

Abstract

The paper discusses the strategy-proofness of sports tournaments with multiple group stages, where the results of matches already played in the previous round against teams in the same group are carried over. These tournaments, widely used in handball and other sports, are shown to be incentive incompatible in the sense that a team can be strictly better off by not exerting full effort in a game. Historical examples are presented when a team was ex ante disinterested in winning by a high margin. We propose a family of incentive compatible designs. Their main characteristics are compared to the original format via simulations. Carrying over half of the points scored in the previous round turns out to be a promising policy.

Suggested Citation

  • László Csató, 2022. "How to design a multi-stage tournament when some results are carried over?," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 683-707, September.
    • Handle: RePEc:spr:orspec:v:44:y:2022:i:3:d:10.1007_s00291-022-00671-2
    DOI: 10.1007/s00291-022-00671-2
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    References listed on IDEAS

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