Positional games

Strong positional game

A strong positional game (also called Maker-Maker game) is a kind of positional game. Like most positional games, it is described by its set of positions and its family of winning-sets (- a family of subsets of ). It is played by two players, called First and Second, who alternately take previously-untaken positions. In a strong positional game, the winner is the first player who holds all the elements of a winning-set. If all positions are taken and no player wins, then it is a draw. Classic Tic-tac-toe is an example of a strong positional game. (Wikipedia).

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Related pages

Positional game | Clique (graph theory) | Tic-tac-toe | Ramsey's theorem | Complete graph | Family of sets | Strategy-stealing argument | Maker-Breaker game | Hales–Jewett theorem