Blue-Red Hackenbush -- At the finite level, this partisan combinatorial game allows constructions of games whose values are dyadicrational numbers. At the infinite level, it allows one to construct all real values.
Blue-Red-Green Hackenbush -- Allows for additional game values that are not numbers in the traditional sense, for example, star.
Go -- The classic game influential on the early combinatorial game theory, and for which there is now a developed endgame and temperature theory.
Nim -- An impartial game, special case of blue-red-green Hackenbush. This allows for the construction of the nimbers.
External links
Game theory and contract bridge (http://senseis.xmp.net/?CombinatorialGameTheoryAndContractBridge)
Gametheory is a branch of applied mathematics that uses models to study interactions with formalised incentive structures (games).
In combinatorialgametheory, an impartial game is a game in which the allowable moves depend only on the position and not on which of the two players is currently moving, and where the payoffs are symmetric.
Combinatorialgametheory On Numbers and Games is a mathematics book by John Conway, published by Academic Press Inc in 1976, ISBN 0121863506, and re-released by AK Peters in 2000 (ISBN 1568811276).
Gametheory, a branch of mathematics, operations research and economics, is the analysis of interactions with formalized incentive structures ("games").
Gametheory is closely related to economics in that it seeks to find rational strategies in situations where the outcome depends not only on one's own strategy and "market conditions", but upon the strategies chosen by other players with possibly different or overlapping goals.
Biologists have used gametheory to understand and predict certain outcomes of evolution, such as the concept of evolutionarily stable strategy introduced by John Maynard Smith in his essay GameTheory and the Evolution of Fighting.
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