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Effort comparisons for a class of four-player tournaments

Author

Listed:
  • Deren Çağlayan

    (Bilkent University)

  • Emin Karagözoğlu

    (Bilkent University
    CESifo Munich)

  • Kerim Keskin

    (ADA University)

  • Çağrı Sağlam

    (Bilkent University)

Abstract

We propose a novel tournament design that incorporates some properties of a round-robin tournament, a Swiss tournament, and a race. The new design includes an all-play-all structure with endogenous scheduling and a winning threshold. Considering a standard round-robin tournament as a baseline model, we first characterize the equilibrium strategies in round-robin tournaments with exogenous and endogenous schedules. Afterward, following an equilibrium analysis of the new tournament design, we compare thirty-six tournament structures inherent in our model with round-robin tournaments on the basis of expected equilibrium effort per battle. We show that a round-robin tournament with an endogenous schedule outperforms all the other tournament structures considered here. We further note that if expected total equilibrium effort is used as a comparison criterion instead, then the new tournament design has a potential to improve upon round-robin tournaments.

Suggested Citation

  • Deren Çağlayan & Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2022. "Effort comparisons for a class of four-player tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 119-137, July.
  • Handle: RePEc:spr:sochwe:v:59:y:2022:i:1:d:10.1007_s00355-021-01381-4
    DOI: 10.1007/s00355-021-01381-4
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    Cited by:

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    2. Arne Lauber & Christoph March & Marco Sahm, 2022. "Optimal and Fair Prizing in Sequential Round-Robin Tournaments: Experimental Evidence," CESifo Working Paper Series 9651, CESifo.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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