Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 422980
Title Sequential sharing rules for river sharing problems
Author(s) Ansink, E.J.H.; Weikard, H.P.
Source Social Choice and Welfare 38 (2012)2. - ISSN 0176-1714 - p. 187 - 210.
DOI https://doi.org/10.1007/s00355-010-0525-y
Department(s) Environmental Economics and Natural Resources Group
WASS
Publication type Refereed Article in a scientific journal
Publication year 2012
Keyword(s) international water law - game-theoretic analysis - allocation - bankruptcy - claims - compensation - rights - talmud
Abstract We analyse the redistribution of a resource amongst 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 the class of sequential sharing rules. Subsequently, we apply sequential sharing rules based on four classical bankruptcy rules, assess their properties, provide two characterisations of one specific rule, and compare sequential sharing rules with three alternative solutions to the river sharing problem.
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