A polluted river network is populated with agents (e.g., firms, villages, municipalities, or countries) located upstream and downstream. This river network must be cleaned, the costs of which must be shared among the agents. We model this problem as a cost sharing problem on a tree network....

This paper considers the cost sharing problem on a fixed tree network. It provides a characterization of the family of cost sharing methods satisfying the axioms of Additivity and the Independence of Irrelevant Costs. Additivity is a classical axiom. The Independence of Irrelevant Costs axiom is...

A polluted river network is populated with agents (e.g., firms, villages, municipalities, or countries) located upstream and downstream. This river network must be cleaned, the costs of which must be shared among the agents. We model this problem as a cost sharing problem on a tree network....