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Mathematical games shares topics with recreational mathematics and discusses the mathematics of games. As far as two-player games are concerned, what distinguishes a mathematical game from ordinary games is the emphasis on mathematical analysis of the game, rather than actually playing it. Playing games with mathematics and numbers, however, is different thing and here they shall be referred to as mathematical puzzles. Recreational mathematics includes many mathematical games, and can be extended to cover such areas as logic and other puzzles of deductive reasoning. ...
Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ...
A multiplayer game is a video game in which multiple people can play the same game at the same time. ...
Tug of war is an easily organized, impromptu game that requires little equipment. ...
Mathematical puzzles are an important part of recreational mathematics. ...
Some sort of mathematics can be found in nearly all types of games.
Mathematics of games
This can be a more serious subject than the name belies. It can include the statistical analysis of Card games to understand and improve play techniques. // For the game on The Price Is Right, see Card Game (pricing game). ...
Game theory is often described as a branch of applied mathematics and economics that studies situations where multiple players make decisions in an attempt to maximize their returns. ...
In set theory, determinacy is the study of under what circumstances one or the other player of a game must have a winning strategy, and the consequences of the existence of such strategies. ...
Set theory is the mathematical theory of sets, which represent collections of abstract objects. ...
In mathematics, descriptive set theory is the study of certain classes of well-behaved sets of real numbers, e. ...
John Horton Conway (born December 26, 1937, Liverpool, England) is a prolific mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. ...
Mathematicians playing Konane at a Combinatorial game theory workshop (for technical content, see external link) This article is on the theory of combinatorial games. ...
In mathematics, the surreal numbers are a field containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number, and therefore the surreals are algebraically similiar to superreal numbers and hyperreal numbers. ...
An abstract strategy game is a board game with perfect information, no chance, and (usually) two players or teams. ...
People - See Recreational mathematics
Recreational mathematics includes many mathematical games, and can be extended to cover such areas as logic and other puzzles of deductive reasoning. ...
Specific mathematical games and puzzles Sometimes it is not immediately obvious that a particular game involves chance. Oftentimes a card game is described as "pure strategy" and such, but a game with any sort of random shuffling or face-down dealing of cards should not be considered to be "no chance".
Abstract Strategy Games (No chance involved)
Lattice board The blue dotted region shows where an angel of power 3 could reach The Angel problem is a question in game theory proposed by John Conway. ...
For other uses, see Chess (disambiguation). ...
A chess variant is any game derived from or related to chess. ...
Chomp is a 2-player game played on a rectangular chocolate bar made up of smaller square blocks. ...
Domineering is a mathematical game played on a sheet of graph paper, with any set of designs traced out. ...
Dots and Boxes (also known as Boxes, Squares, Paddocks, Square-it, Dots and Dashes, Dots, or, simply, the Dot Game) is a pencil and paper game for two players (or sometimes, more than two). ...
Go is a strategic East Asian board game for two players. ...
There are many variations on the basic game of Go. ...
Hex is a board game played on a hexagonal grid, theoretically of any size and several possible shapes, but traditionally as a 11x11 rhombus. ...
A 3×3 hexapawn board Hexapawn is a deterministic two-player game invented by Martin Gardner. ...
The L game was invented by Edward De Bono, intended to illustrate lateral thinking. ...
Phutball (short for philosophers football) is a two-player board game described in Elwyn Berlekamp, John Conway, and Richard Guys Winning Ways for your Mathematical Plays. ...
Rhythmomachy (or Rythmomachy, or Rithmomachia, or Arithmomachia, or sundry other variants; also the Philosophers Game) is an early European mathematical board game. ...
Non-lattice boards and other games Hackenbush is a two-player partisan mathematical game that consists of several colored line segments connected to the ground. ...
Chopsticks (also called Magic Fingers) is a commonly played two player traditional Japanese childrens hand game. ...
For other uses, see Nim (disambiguation). ...
This article is about a pencil game. ...
Sprouts is a pencil-and-paper game with interesting mathematical properties. ...
Chance involved or imperfect information It has been suggested that this article or section be merged into 24 Game. ...
Will the two prisoners cooperate to minimize total loss of liberty or will one of them, trusting the other to cooperate, betray him so as to go free? In game theory, the prisoners dilemma (sometimes abbreviated PD) is a type of non-zero-sum game in which two players...
See also A two player game can be solved on several levels [1] [2]: Ultra-weak In the weakest sense, solving a game means proving whether the first player will win, lose, or draw from the initial position, given perfect play on both sides. ...
A game of skill is a game where the outcome is determined mainly by mental or physical skill, rather than by pure chance. ...
External Links - Historical Math Problems/Puzzles at Convergence
- Maths game for young children
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