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Título del libro: 2018 17th Mexican International Conference On Artificial Intelligence (micai 2018)
Título del capítulo: Optimal Strategies for Penalty Kicks

Autores UNAM:
FRANCISCO XAVIER GONZALEZ ACUÑA;
Autores externos:

Idioma:

Año de publicación:
2018
Palabras clave:

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.


Entidades citadas de la UNAM: