# A concise axiomatization of a Shapley-type value for stochastic coalition processes

Working paper

Issue number:

2013.52

Publisher:

Centre d’Economie de la Sorbonne

Year:

2013

The Shapley value is deﬁned as the average marginal contribution of a player, taken over all possible ways to form the grand coalition N when one starts from the empty coalition and adds players one by one. In a previous paper, the authors have introduced an allocation scheme for a general model of coalition formation where the evolution of the coalition of active players is ruled by a Markov chain and need not ﬁnish with the grand coalition. This note provides an axiomatization which is weaker than the one in the original paper but allows a much more transparent correctness proof. Moreover, the logical independence of the axioms is proved.