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The game "21" is played as a misère game with any number of players who take turns saying a number. The first player says "1" and each player in turn increases the number by 1, 2, or 3, but may not exceed 21; the player forced to say "21" loses. This can be modeled as a subtraction game with a heap of 21 − n objects. The winning strategy for ...
TacTix is a two-player strategy game invented by Piet Hein, a poet well known for dabbling in math and science, best known for his game Hex. TacTix is essentially a two-dimension version of Nim ; players alternate moves, removing one or more tokens in a single row or column until the last one is removed.
However, if both players use this strategy, the game always ends in a draw. [18] If the human player is familiar with the optimal strategy, and MENACE can quickly learn it, then the games will eventually only end in draws. The likelihood of the computer winning increases quickly when the computer plays against a random-playing opponent. [3]
This is an index of real-time strategy video games, sorted chronologically. Information regarding date of release, developer, platform, setting and notability is provided when available. Information regarding date of release, developer, platform, setting and notability is provided when available.
Three men's morris is an abstract strategy game played on a three by three board (counting lines) that is similar to tic-tac-toe. It is also related to six men's morris and nine men's morris. A player wins by forming a mill, that is, three of their own pieces in a row.
Strategy is a major video game genre that focus on analyzing and strategizing over direct quick reaction in order to secure success. [1] Although many types of video games can contain strategic elements, as a genre, strategy games are most commonly defined as those with a primary focus on high-level strategy, logistics and resource management.
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Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.