Simple cooperative game
= Simple cooperative game
{title2=$v(S)\in\{0,1\}$}
A simple cooperative game is a monotone <transferable utility game> in which each <coalition> either loses, with value zero, or wins, with value one. In the usual nontrivial convention the empty <coalition> loses and the grand <coalition> wins. The <Shapley value> is then the <probability> that a player changes a losing <coalition> into a winning one when players enter in uniformly random order.