# The Game Theory of Soccer Penalty kicks

It is reasonable to claim that when a soccer game has penalty kicks, these are one of the most important moments of the game and in that moment everyone tries to guess which side will the striker kick. Indeed penalty kicks is a type of game that game theory can solve.

To solve this game, we first need to think about the type of game, namely if it is a simultaneous game or a sequential game meaning that it is one in which the players effectively make their decisions at the same time or one in which the players take alternate turns to make their choices, respectively. In penalty kicks the players move simultaneously since the goalie cannot wait until the ball comes off the foot of the kicker to decide what to do. So, both players have to choose a side to play before the “game” starts. We will…

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