In the absence of externalities, marginality is equivalent to an independence property that rests on Harsanyi's dividends. These dividends identify the surplus inherent to each coalition. Independence states that a player's payoff stays the same if only dividends of coalitions to which this...

In the absence of externalities, marginality is equivalent to an independence property that rests on Harsanyi‘s dividends. These dividends identify the surplus inherent to each coalition. Independence states that a player‘s payoff stays the same if only dividends of coalitions to which this...

A cooperative game in partition function form is proposed for a cost allocation problem. The game describes a real situation in which a payoff of any coalition does not only depend on the players in the coalition but also on the coalition structure of the other players. Solution concepts like...

This paper provides a flexible strategic framework to analyze bargaining and values in environments with coalitional externalities. Within this framework we propose a new value that extends the Shapley value to partition function form games, the so-called Rational Belief Shapley (RBS) value. We...

Different axiomatizations of the Shapley value for TU games can be found in the literature. The Shapley value has been generalized in several ways to the class of games in partition function form. In this paper we discuss another generalization of the Shapley value and provide a characterization.