Marginal contribution vector
= Marginal contribution vector
{title2=$m_i^\pi=v(P_i\cup\{i\})-v(P_i)$}
For a player ordering $\pi$, $P_i$ is the set before player $i$, and the displayed entries form its <marginal contribution> vector. Their sum is $v(N)-v(\varnothing)$. The <Shapley value> is the average of these vectors. In a <convex cooperative game>, increasing <marginal contributions> make each such vector satisfy every <coalition> constraint of the <core of a cooperative game>.