Journal
GAMES AND ECONOMIC BEHAVIOR
Volume 108, Issue -, Pages 182-205Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.geb.2017.10.005
Keywords
Polluted river; Cost sharing; Axiomatization; Permission values
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Funding
- NWO [400-09-434]
- Shenzhen University [16QNFC45]
- Department of Education of Guangdong Province, China [2016WQNCX129]
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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. (C) 2017 Elsevier Inc. All rights reserved.
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