Sharing the cost of cleaning up a polluted river

Consider a group of agents located along polluted river where every agent must pay certain cost for cleaning up the river. Following model Ni and Wang (2007), we propose class alpha-Local Responsibility Sharing methods, which generalizes Local (LRS) method Upstream Equal (UES) method. We fi rst show that UES is characterized by relaxing independence upstream costs appearing in (2007). Then provide two axiomatizations with endogenous responsibility method, one using this weak axiom (taken from method) version no blind LRS method). Moreover, also an axiomatization exogenous introducing alpha-responsibility balance. Finally, defi ne pollution cost-sharing game, that, interestingly, Half (HLRS) coincides Shapley value, nucleolus tau-value corresponding game. This HLRS can be seen as some kind middle compromise methods.