structural:summarization, information:extraction, quality:correction
Characteristic function form

In cooperative game theory the characteristic function lists the payoff of each coalition. The origin of this formulation is in John von Neumann and Oskar Morgenstern's book.

Formally, a characteristic function is a function v: 2 N → R {\displaystyle v:2^{N}\to \mathbb {R} } from the set of all possible coalitions of players to a set of payments, and also satisfies v (∅) = 0 {\displaystyle v(\emptyset)=0}. The function describes how much collective payoff a set of players can gain by forming a coalition.