The best way to understand combinatorial game theory is with lots of example games.

  • Blue-Red Hackenbush (first example given in Winning Ways)

  • Blue-Red-Green Hackenbush (illustrates infinitesimals)

  • Go

  • Nim

  • Bridge (Isn't CGT for games with no chance and perfect knowledge?)

External link

http://senseis.xmp.net/?CombinatorialGameTheoryAndContractBridge