definition
staged
Simple Game
A simple game is a coalitional game whose coalitions are classified as losing or winning. In characteristic-function form, $$ v(S) \in \{0,1\} $$ for every coalition $S \subseteq N$, and the grand coalition is winning: $$ v(N)=1. $$
A coalition $S$ is winning when $v(S)=1$.
Simple games model yes/no collective decision rules. Later refinements such as weighted majority games add an explicit quota-and-weight representation.
References
- [MSZ Ch.16, Def 16.2] Maschler, Solan, Zamir, Game Theory.