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SIIA Público
SISTEMA INTEGRAL DE INFORMACIÓN ACADÉMICA - PÚBLICO
Título del libro: 2018 17th Mexican International Conference On Artificial Intelligence (micai 2018) Título del capítulo: Optimal Strategies for Penalty Kicks
Penalty Kicks; Soccer; Goalkeeper or Goalie; Kicker; Optimal Strategy; Value; Constraint Satisfaction Problem
Resumen:
Using videos of the 43 penalty kicks during the World Cup of 1986 in
Mexico, and using a triplication technique, a 3 x 3 probability matrix,
the payoff matrix of a rectangular game, was calculated. This is a
constrained satisfaction problem whose solution is exhibited. On an
experimental level, with the help of a goalie from the team ``Pumas''
and kickers from the teams ``Toluca'' and ``Pumas'', a total of 1033
penalties were executed and examined in a period of 2 years. A 12 x 5
matrix of probabilities was constructed from which optimal (mixed)
strategies and the value of the game were calculated. Finally, a
corresponding study was made for the 68 penalties of the FIFA World Cup
Russia 2018.