Combinatorial game theory (pedagogy)
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The teaching of combinatorial game theory normally uses the following examples:
- Blue-Red Hackenbush -- At the finite level, this partisan combinatorial game allows constructions of games whose values are dyadic rational 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.
- Domineering -- In addition to numbers already mentioned, allows for constructions of hot games and discussion of a game's temperature.
- Nim -- An impartial game, special case of blue-red-green Hackenbush. This allows for the construction of the nimbers.
- Go -- The classic game influential on the early combinatorial game theory, and for which there is now a developed endgame and temperature theory.
External links
Game theory and contract bridge (http://senseis.xmp.net/?CombinatorialGameTheoryAndContractBridge)