Questions tagged [combinatorial-game-theory]

Use for questions relating to Combinatorial Game Theory, terminology and concepts, particularly in regard to the mathematical properties of abstract board and card games, and game solving and solved games.

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1answer
14k views

Is Ultimate Tic Tac Toe solved?

Ultimate Tic Tac Toe is an interesting variant of Tic Tac Toe where in each of the 9 fields, a “regular” game of Tic Tac Toe is played; see the link for details. Has this game been solved already? ...
16
votes
6answers
6k views

Maximum attainable points for a single player in a two player game of Carcassonne

Let's start this question with the following assumptions about a game of Carcassonne: It's a two player game. The game is using the current basic set of rules/tiles. edit: just to be clear, I'm using ...
9
votes
4answers
1k views

Dominant strategy in chess

Is there any proof ensuring there can be no dominant strategy for chess? By dominant strategy, I mean a way of playing that always works regardless what the opponent do.