Constant-sum cooperative game
= Constant-sum cooperative game
{title2=$v(S)+v(N\setminus S)=v(N)$}
A <transferable utility game> satisfying the displayed equality for every <coalition>. This forces $v(\varnothing)=0$. It does not by itself guarantee a nonempty <core>: <core rigidity in a constant-sum cooperative game> shows that nonemptiness requires the <characteristic function of a coalitional game> to be additive.