Box-making game
A box-making game (often called just a box game) is a biased positional game where two players alternately pick elements from a family of pairwise-disjoint sets ("boxes"). The first player - called Bo
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
Clique game
The clique game is a positional game where two players alternately pick edges, trying to occupy a complete clique of a given size. The game is parameterized by two integers n > k. The game-board is th
Discrepancy game
A discrepancy game is a kind of positional game. Like most positional games, it is described by its set of positions/points/elements and a family of sets (- a family of subsets of ). It is played by t
Waiter–Client game
A Waiter-Client game (also called: Picker-Chooser game) is a kind of positional game. Like most positional games, it is described by its set of positions/points/elements, and its family of winning-set
Positional game
A positional game is a kind of a combinatorial game for two players. It is described by:
* – a finite set of elements. Often is called the board and its elements are called positions.
* – a family o
Biased positional game
A biased positional game is a variant of a positional game. Like most positional games, it is described by a set of positions/points/elements and a family of subsets, which are usually called the winn
Shannon switching game
The Shannon switching game is a connection game for two players, invented by American mathematician and electrical engineer Claude Shannon, the "father of information theory" some time before 1951. Tw
Pairing strategy
In a positional game, a pairing strategy is a strategy that a player can use to guarantee victory, or at least force a draw. It is based on dividing the positions on the game-board into disjoint pairs
Hex (board game)
Hex is a two player abstract strategy board game in which players attempt to connect opposite sides of a rhombus-shaped board made of hexagonal cells. Hex was invented by mathematician and poet Piet H
Combinatorial Games: Tic-Tac-Toe Theory
Combinatorial Games: Tic-Tac-Toe Theory is a monograph on the mathematics of tic-tac-toe and other positional games, written by József Beck. It was published in 2008 by the Cambridge University Press
Hales–Jewett theorem
In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory named after Alfred W. Hales and Robert I. Jewett, concerning the degree to which high-dimensional object
Arithmetic progression game
The arithmetic progression game is a positional game where two players alternately pick numbers, trying to occupy a complete arithmetic progression of a given size. The game is parameterized by two in
Tic-tac-toe
Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) is a paper-and-pencil game for two players who take turns marking the spaces in a t
Maker-Breaker game
A Maker-Breaker game is a kind of positional game. Like most positional games, it is described by its set of positions/points/elements and its family of winning-sets (- a family of subsets of ). It is
Avoider-Enforcer game
An Avoider-Enforcer game (also called Avoider-Forcer game or Antimaker-Antibreaker game) is a kind of positional game. Like most positional games, it is described by a set of positions/points/elements