My interpretation was this: suppose G is a game. The Left options of Double(G) are exactly the set of Left options of Left options of G, and similarly with Right. (In this interpretation, one *must* move twice; you aren't allowed to pass on either of the two moves.) The definitions of "game" and "option", and the convention about who wins, are all exactly as in Winning Ways. On Wed, Dec 31, 2014 at 11:49 AM, Dan Asimov <dasimov@earthlink.net> wrote:
Can we make this more precise? Can we define the kind of game this applies to, and how the winner of the double-move is version determined? Or at least how the winner is determined for a large class of double-move candidate games?
--Dan
On 12/30/2014 08:02 AM, James Propp wrote:
----- Has anyone studied variants of standard combinatorial games (such as Nim) in which each player makes two standard moves in succession on each turn instead of just one? -----
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