Sequential Sharing Rules for River Sharing Problems

Erik Ansink and Hans-Peter Weikard

No 2009.114, Working Papers from Fondazione Eni Enrico Mattei

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.

Keywords: River Sharing Problem; Sequential Sharing Rule; Bankruptcy Problem; Water Allocation (search for similar items in EconPapers)
JEL-codes: D63 D71 Q25 (search for similar items in EconPapers)
Date: 2009-12
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (23)

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Related works:
Journal Article: Sequential sharing rules for river sharing problems (2012)
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