An Analysis of Citadels

Citadels is a bluffing card game where the players try to build the greatest city. There are four components in the game: character cards, district cards, gold tokens and the crown token.
The game is played in rounds; each round all players, starting with the player who have the crown token, secretly selects a character to play as. Then, the characters are called out one by one and if a player have the character that is called, he takes his turn. When all characters have been called and each player have had their turn, the character cards are all suffled back into the character deck and a new round starts. When a player plays his eight district card the game ends after that round.
The absolute most interesting system in Citadels is the character deck which I will now describe in detail. At the beginning of each round all the characters are shuffled into the character deck, then one of them is discarded at random and placed face down so that no one can see which it is. Then depending on how many players there are in the game a number of randomly selected characters are discarded and placed face up on the table for everyone to see (number 4 cannot be discarded this way). Now the player with the crown get the character deck and selects one then passes on to the next person and so on. The last person have two characters he can chose from, he takes one and place the other face down on the table.