The propensity to disrupt and the disruption nucleolus of a characteristic function game

The “disruption nucleolus” of ann-person game is proposed, a generalisation of the concept of an individual player's "propensity to disrupt" a payoff vector in a three-person characteristic function game.

Abstract

Gately [1974] recently introduced the concept of an individual player's "propensity to disrupt" a payoff vector in a three-person characteristic function game. As a generalisation of this concept we propose the "disruption nucleolus" of ann-person game. The properties and computational possibilities of this concept are analogous to those of the nucleolus itself. Two numerical examples are given.