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reversal
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Keywords: EndGame
In CGT, the negative -G of a game G is formed by each of the two players the negatives of the options of the other one; so that in -G we simply reverse the roles of the players in G.
NB This isn't directly connected with reversible plays.
- Bill: But we do talk about reversal in CGT in relation to reversible plays.
- Charles This term was introduced on the surreal numbers page. Which should perhaps therefore be edited. In fact for myself I find the 'surreal numbers' terminology unhelpful (with apologies to all Don Knuth fans out there).
- Bill: The current text says, "negative", but refers to this page. To be precise, the roles of the players are *not* reversed in the negative of a game. I'm going to make a NegativeOfAGame page and change the reference, OK?
- Hmmm. I see that Conway talks about role reversal in On Numbers and Games, the classic CGT text. But to me that suggests this:
- G = { L | R }
- G~ = { R | L } , where G~ is G reversed.
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