Dog Breeds Information and More
  Komondor - Dog Breeds Facts and Information Dog Breeds Selector A to Z dog breeds Forums

 
Dog names
Dog training
Toy dogs
Intelligence
Dog health
Dog worship
Ticks

 
Golden Retriever
Labrador Retriever
Jack Russell
 
Find a Breed
 
Dog Breeds 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.

The contents of this article are licensed from Wikipedia.org under the
GNU Free Documentation License. How to see transparent copy