A note on a value with incomplete communication

The Myerson's models on partial cooperation in cooperative games have been studied extensively by Borm, Owen, Tijs and Myerson. Hamiache proposes a new solution concept for the case in which the communication relations among players are modelled by means of an undirected graph. In this work, we analize this value making some vagueness clear, generalize this value to other models of partial cooperation emphasizing the differences in the generalization and we include some comparative calculations of this value with the Myerson value and the position value.