= Transferable utility game
{title2=$v:2^N\to\mathbb R,\quad v(\varnothing)=0$}
= Coalitional game
{synonym}
A finite transferable utility game gives each <coalition> $S\subseteq N$ a real value $v(S)$ that its members can distribute among themselves. The usual normalization is $v(\varnothing)=0$. An efficient payoff vector $x$ satisfies $\sum_{i\in N}x_i=v(N)$. <Simple cooperative games> model winning <coalitions> with values zero and one; <convex cooperative games> model increasing <marginal contributions>.
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