= Core
{disambiguate=game theory}
{title2=$\{x:\sum_{i\in N}x_i=v(N),\quad\sum_{i\in S}x_i\ge v(S)\ \forall S\}$}
{wiki}
= Core
{synonym}
= Core of a cooperative game
{synonym}
The <core> consists of efficient payoff vectors for which each <coalition> receives at least its own attainable value. Thus no <coalition> can improve every member's payoff by leaving. It is a <convex set> defined by linear constraints, but can be empty. Every <convex cooperative game> has a nonempty <core> because each <marginal contribution vector> belongs to it.
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