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The anti-pattern game

Here is a small game I though of when taking a course on modal logic. It is a bit too tedious to be played by humans, but I had great fun finding a winning stategy for it – and there are still simple questions about this game I cannot answer. The rules The anti-pattern game is a two-player game. It is played using black and white pebbles (like Go). These pebbles are placed in sequence on a line. On their turn the player has a simple choice: to continue the sequence with a white or a black pebble...

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