Designing practical and fair sequential team contests: The case of penalty shootouts
Nejat Anbarci (),
Ching-jen Sun and
Utku Unver
Games and Economic Behavior, 2021, vol. 130, issue C, 25-43
Abstract:
Economists have long recognized that the effect of move order on outcomes is non-negligible in sequential contests. We study tiebreak mechanisms used in team sports and known as penalty shootouts through a dynamic model. We characterize all order-independent mechanisms where two balanced teams have equal chances to win the shootout whenever they are tied after equal numbers of attempts; thus, move order has no relevance for winning chances. In most sports, such as football and hockey, teams take penalties in a fixed order, known as ABAB, while some tournaments adopted the alternating-order variant, ABBA. We find that these and all other exogenous-order mechanisms – with one exception – are order-dependent in regular rounds. Although ABBA is order independent in sudden-death rounds, ABAB is not. Our theory supports empirical studies linking ABAB to unfair outcomes and multiple equilibria in terms of winning chances of the first- vs. second-kicking teams in different football traditions.
Keywords: Tiebreak mechanisms; Penalty shootouts; Fairness in sequential contests; Mechanism design; Market design; Order independence (search for similar items in EconPapers)
JEL-codes: C79 D47 D63 D78 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (8)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:130:y:2021:i:c:p:25-43
DOI: 10.1016/j.geb.2021.07.004
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