Imputation in a coalitional game
= Imputation in a coalitional game
{title2=$I(v)=\{x:x(N)=v(N),\ x_i\geq v(\{i\})\}$}
= Imputation
{synonym}
An <imputation> is an efficient, individually rational allocation in a <transferable utility game>. Its total is the grand-coalition value and each player receives at least its singleton value. The set is nonempty exactly when $v(N)\geq\sum_i v(\{i\})$, and is then compact. This individual-rationality condition distinguishes the <nucleolus> from the <prenucleolus>.