Game Theory through Examples

DMA Soccer

This game is played on a field divided into three subfields called "left", "midfield" and "right". Two teams, Blue and Red, play against each other. Each team sends 5 players on the field, where each player goes into a subfield and stays there during the whole game. At the beginning, and after each "goal", the referee throws the ball into the midfield. One player in the midfield will catch the ball---we always assume that if the ball is thrown into a subfield, then one player there catches it.

If a blue player in the midfield has the ball, he or she throws it into the right field, and if a blue player catches it there, it counts as a goal for Blue. Otherwise, if a red player catches it in the right field, this player throws the ball back into the midfield.
In the same way, if a red player in the midfield has the ball, he or she throws it into the left field, where it counts a goal for Red if a red player catches it there, or otherwise, if a blue player catches it there, it is returned to the middle part.

A ball may never been thrown directly from left to right field, or from right to left field.

Here you can simulate 100 rounds. We start 100 times in the middle. At the beginning, choose the formations for both teams by pressing the arrow buttons. When you click the 'automatic play' button, the play starts and no changes in the distributions are possible anymore.

100 Rounds in DMA Soccer