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Sharing a River

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Type: Conference Paper
Author: Ambec, Stefan; Sprumont, Yves
Conference: Property Rights, Institutions, and Management of Environmental and Natural Resources, the Fourth Toulouse Conference on Environment and Resource Economics
Location: Toulouse, France
Conf. Date: May 3-4
Date: 2001
URI: https://hdl.handle.net/10535/7909
Sector: Theory
Water Resource & Irrigation
Region:
Subject(s): allocation rules
water resources
game theory
fairness
cooperation--models
common pool resources--theory
Abstract: "A group of agents located along a river have quasi-linear preferences over water and money. We ask how the water should be allocated and what money transfers should be performed. We are interested in efficiency, stability (in the sense of the core), and fairness (in a sense to be defined). We first show that the cooperative game associated with that problem is convex: its core is therefore large and easily described. Next, we propose the following fairness requirement: no group of agents should enjoy a welfare higher than what it could achieve in the absence of the remaining agents. We prove that only one welfare distribution in the core satisfies this condition: its marginal contribution vector corresponding to the ordering of the agents along the river. We discuss how it could be decentralized or implemented."

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