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      Effort comparisons for a class of four-player tournaments

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      Author(s)
      Deren, Çağlayan
      Karagözoğlu, Emin
      Çağrı, Sağlam
      Keskin, Kerim
      Date
      2022-06-26
      Source Title
      Social Choice and Welfare
      Print ISSN
      01761714
      Publisher
      Springer Nature
      Volume
      59
      Issue
      1
      Pages
      119 - 137
      Language
      English
      Type
      Article
      Item Usage Stats
      15
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      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.
      Permalink
      http://hdl.handle.net/11693/111468
      Published Version (Please cite this version)
      https://www.doi.org/10.1007/s00355-021-01381-4
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      • Department of Economics 724
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