Classification of Games
In combinatorial game theory, there are four types of game. If we denote players as Left and Right, and G be a game with some value, we have the following types of game:
1. Left win: G > 0
- No matter which player goes first, Left wins.
2. Right win: G < 0
- No matter which player goes first, Right wins.
3. Second player win: G = 0
- The first player (Left or Right) has no moves, and thus loses.
4. First player win: G ║ 0 (G is fuzzy with 0)
- The first player (Left or Right) wins.
Using standard Dedekind-section game notation, {L|R}, where L is the list of undominated moves for Left and R is the list of undominated moves for Right, a fuzzy game is a game where all moves in L are strictly non-negative, and all moves in R are strictly non-positive.
Read more about this topic: Fuzzy Game
Famous quotes containing the word games:
“At the age of twelve I was finding the world too small: it appeared to me like a dull, trim back garden, in which only trivial games could be played.”
—Elizabeth Bowen (1899–1973)