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fuzzy game : ウィキペディア英語版
fuzzy game

In combinatorial game theory, a fuzzy game is a game which is ''incomparable'' with the zero game: 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.
==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, , 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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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