In this work, a new axiomatization of the Shapley value is presented. An associated game is constructed which can also be interpreted as a perturbation of the original game. We define a sequence of games, when the term of order n, in this sequence, is the associated game of the term of order (n-1).

This paper presents two new axiomatizations of the Owen value for games with coalition structures. Other axiomatizations can be found in the literature: Owen (1977), Hart and Kurz (1983), and Winter (1992). The driving force of my axiomatization is a consistency axiom based on an associated...

The aim of this paper is to present a new value of a cooperative game for the case of limited communication between players. The communication system we consider may be represented by a simple graph, that is, only pairwise meetings can occur and some of them are not permitted. An associated game...