Everybody Wants to Rule the World

May I present to the reader: the "Dictator" Game. Here is how it works...

A group of players form a circle. One is chosen to start the game, and the turns are then passed clockwise from one player to the next.

When it is a player's turn, they are the Dictator. They must choose one other person in the circle to be kicked out of the game. They can select any such other player, whether it is someone who has already had their turn, or one who has not had their turn yet.

The first phase of the game is over when there are only two players remaining. Thereby begins the second and final phase. All of the players who have been kicked out of the game hold a vote. Whichever of the two finalists wins the vote, wins the game.

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