Difference between revisions of "Sharing"

imputation (in the theory of games)

A distribution of the overall gain of all players in a cooperative game which satisfies the rationality condition. Formally, if for a game with a set $J=\{1,\ldots,n\}$ of players a characteristic function $v(J)$ is defined, a sharing is a vector $x=(x_1,\ldots,x_n)$ such that $\sum_{i=1}^n$; $x_i\geq v(i)$, $i=1,\ldots,n$.