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Ordering sequential competitions to reduce order relevance: Soccer penalty shootouts
Nils Rudi1, Marcelo Olivares2,3, Aditya Shetty4
1Yale School of Management, New Haven, CT, United States of America.
The first team to shoot in penalty shootouts has a slight advantage, but alternating the first shot each round could create a fairer competition. This research informs potential rule changes in football (soccer).
Area of Science:
- Sports Science
- Game Theory
- Statistical Modeling
Background:
- The order of turns in sequential competitions can influence outcomes.
- Previous research on penalty shootouts shows mixed evidence regarding a first-mover advantage.
Purpose of the Study:
- To investigate the impact of shooting order in penalty shootouts.
- To evaluate alternative ordering systems for fairness.
Main Methods:
- Collected an extensive dataset of penalty shootouts.
- Modeled shootouts as a probability network.
- Conducted counterfactual analysis using calibrated models.
Main Results:
- Confirmed a first-shooter advantage in penalty shootouts, though smaller than previously reported.
- Modeling suggests alternating the first shot reduces the ordering impact.
Conclusions:
- The first-shooting advantage in penalty shootouts is statistically significant but modest.
- Alternating the first shot is a viable strategy to enhance fairness in penalty shootouts.
- Findings support ongoing discussions by the International Football Association Board (IFAB) regarding rule changes.
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