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In soccer penalty kicks, goalkeepers choose their action before they can clearly observe the kick direction. An analysis of 286 penalty kicks in top leagues and championships worldwide shows that given the probability distribution of kick direction, the optimal strategy for goalkeepers is to...
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This paper analyses the best scientific approaches for any team to win a football penalty shootout. The paper also … shooter order and probability of each team winning at any stage. Additional results are derived about football economics …, football derivatives and optimal game strategy.A number of classic penalty shootouts are also considered including: Toluca v …
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