Combinatorial Games (Part II): Different Moves for Left and Right
6. Surreal numbers and games
Fuzzy games, which are those where the player who plays first can always win.
Again green edges (other than the grass) can be cut by either player. This means that for the game above the first player who moves can win. One might be tempted to think this would mean that neither Left nor Right has an advantage in this game, but the issue is more subtle. Notice that this game has more blue edges than red edges. Does this not suggest that Left has "some advantage" over Right? To see that this is indeed true, consider the game shown below:
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