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:
“In the past, it seemed to make sense for a sportswriter on sabbatical from the playpen to attend the quadrennial hawgkilling when Presidential candidates are chosen, to observe and report upon politicians at play. After all, national conventions are games of a sort, and sports offers few spectacles richer in low comedy.”
—Walter Wellesley (Red)