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Title:Sequential sharing rules for river sharing problems PDF Logo
Authors:Ansink, Erik
Weikard, Hans-Peter
Issue Date:2009
Series/Report no.:Nota di lavoro // Fondazione Eni Enrico Mattei: Sustainable development 114.2009
Abstract:We analyse the redistribution of a resource among agents who have claims to the resource and who are ordered linearly. A well known example of this particular situation is the river sharing problem. We exploit the linear order of agents to transform the river sharing problem to a sequence of two-agent river sharing problems. These reduced problems are mathematically equivalent to bankruptcy problems and can therefore be solved using any bankruptcy rule. Our proposed class of solutions, that we call sequential sharing rules, solves the river sharing problem. Our approach extends the bankruptcy literature to settings with a sequential structure of both the agents and the resource to be shared. In the paper, we first characterise a class of sequential sharing rules. Subsequently, we apply sequential sharing rules based on four classical bankruptcy rules, assess their properties, and compare them to four alternative solutions to the river sharing problem.
Subjects:River Sharing Problem
Sequential Sharing Rule
Bankruptcy Problem
Water Allocation
JEL:D63
D71
Q25
Document Type:Working Paper
Appears in Collections:FEEM Working Papers, Fondazione Eni Enrico Mattei

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