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equality of games
Path: CGTPath · Prev: DifferenceGame · Next: ZeroInCGTTerms
Difficulty: Advanced
In combinatorial game theory, equality of games is a defined concept. It certainly doesn't coincide with the idea of having the same game (what you could call an identical copy). Firstly one has an ordering of games?, such that G >= H is a relation defined to hold just when the difference game G - H >= 0. Then two games G and H are by definition equal when G >= H and H >= G. This is an obvious definition to make, from a mathematical point of view. One also wants to be able to compute with this idea. The theory of canonical forms of games is designed to do that. Path: CGTPath · Prev: DifferenceGame · Next: ZeroInCGTTerms This is a copy of the living page "equality of games" at Sensei's Library. (C) the Authors, published under the OpenContent License V1.0. |