Wednesday, November 17, 2004

Finite And Infinite Games 1.2

"If a finite game is to be won by someone it must come to a definite end. It will come to an end when someone has won.

We know that someone has won the game when all the players have agreed who among them is the winner. No other condition than the agreement of the players is absolutely required in determining who has won the game.

It may appear that the approval of the spectators, or the referees, is required in the determination of the winner. However, it is simply the case that if the players do not agree on a winner, the game has not come to a decisive conclusion-- and the players have not satisfied the original purpose of playing. Even if they are carried from the field and forcibly blocked from further play, they will not consider the game ended.

Suppose the players all agree, but the spectators and the referees do not. Unless the players can be persuaded that their agreement was mistaken , they will not resume play-- indeed, they cannot resume the play. We cannot imagine players returning to the field and truly playing if they are convinced the game is over.

There is no finite game unless the players freely choose to play it. No one can play who is forced to play.

It is an invariable principle of all play, finite and infinite, that whoever plays, plays freely. Whoever must play, cannot play."

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