1 Sentences With "nonweak"

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The coalitions belonging to W are winning; the others are losing. A simple game W is monotonic if S \in W and S\subseteq T imply T \in W. It is proper if S \in W implies N\setminus S otin W. It is strong if S otin W implies N\setminus S \in W. A veto player (vetoer) is an individual that belongs to all winning coalitions. A simple game is nonweak if it has no veto player. It is finite if there is a finite set (called a carrier) T \subseteq N such that for all coalitions S, we have S \in W iff S\cap T \in W. Let X be a (finite or infinite) set of alternatives, whose cardinal number (the number of elements) \\# X is at least two.