Title
Polluted river problems and games with a permission structure
Abstract
When a polluted river passes through several different regions, a challenging question is how should the costs for cleaning the river be shared among the regions. Following Ni and Wang (2007) and Dong et al. (2012), we first show that the Upstream Equal Sharing method and the Downstream Equal Sharing method coincide with the conjunctive permission value (van den Brink and Gilles, 1996) of an associated game with a permission structure, which is obtained as the Shapley value of an associated restricted game. Two main advantages of this approach are (i) we obtain new axiomatizations of the two sharing methods based on axiomatizations of the conjunctive permission value, and (ii) by applying the alternative disjunctive permission value, obtained as the Shapley value of a different restricted game, we propose the new Upstream Limited Sharing method and provide an axiomatization.
Year
DOI
Venue
2018
10.1016/j.geb.2017.10.005
Games and Economic Behavior
Keywords
DocType
Volume
C71,D61,D62
Journal
108
ISSN
Citations 
PageRank 
0899-8256
1
0.39
References 
Authors
6
3
Name
Order
Citations
PageRank
René Van Den Brink118727.06
Si-Min He28614.71
Jia-Ping Huang310.39