  In Briata, Dall'Aglio and Fragnelli (2012), the authors introduce a
cooperative game with transferable utility for allocating the gain of a
collusion among completely risk-averse agents involved in the fair division
procedure introduced by Knaster (1946). In this paper we analyze the Shapley
value (Shapley, 1953) of the game and propose its use as a measure of the
players' attitude towards collusion. Furthermore, we relate the sign of the
Shapley value with the ranking order of the players' evaluation, and show that
some players in a given ranking will always deter collusion. Finally, we
characterize the coalitions that maximize the gain from collusion, and suggest
an ad-hoc coalition formation mechanism.
