Effort comparisons for a class of four-player tournaments

Effort comparisons for a class of four-player tournaments

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,...

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Bibliographic Details
Published in:Social choice and welfare Vol. 59; no. 1; pp. 119 - 137
Main Authors: Çağlayan, Deren, Karagözoğlu, Emin, Keskin, Kerim, Sağlam, Çağrı
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-07-2022
Springer Nature B.V
Subjects:
Design
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Economics and Finance
Endogenous
Equilibrium
Game Theory
International Political Economy
Original Paper
Property
Public Finance
Race
Schedules
Scheduling
Social and Behav. Sciences
Social Policy
Tournaments
Tournaments & championships
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Description
Summary: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.
ISSN:0176-1714
1432-217X
DOI:10.1007/s00355-021-01381-4