Science Fair Project Encyclopedia
Fuzzy game
In combinatorial game theory, a fuzzy game is a game which is incomparable with 0: it is not greater than 0, which would be a win for Left; nor less than 0 which would be a win for Right; nor equal to 0 which would be a win for the second player to move. It is therefore a first-player win.
One example is the fuzzy game {0|0} which is a first-player win, since whoever moves first can move to a second player win, namely the zero game. An example would be a normal game of Nim where only one object remained.
Another example of a fuzzy game would be {1|-1}. Left could move to 1, which is a win for Left, while Right could move to -1, which is a win for Right; again this is a first-player win.
No fuzzy game can be a surreal number.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details