Person: Alcalde Unzu, Jorge
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Alcalde Unzu
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Jorge
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Economía
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INARBE. Institute for Advanced Research in Business and Economics
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0000-0003-1839-6245
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4338
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Publication Open Access Sharing the costs of cleaning a river: the Upstream Responsibility rule(Elsevier, 2015) Alcalde Unzu, Jorge; Gómez Rúa, María; Molis Bañales, Elena; Economía; EkonomiaThe cleaning up of waste present in transboundary rivers, which requires the cooperation of different authorities, is a problematic issue, especially when responsibility for the discharge of the waste is not well-defined. Following Ni and Wang (2007) we assume that a river is a segment divided into several regions from upstream to downstream. We show that when the transfer rate of the waste is unknown, the clean-up cost vector provides useful information for estimating some limits in regard to the responsibility of each region. We propose a cost allocation rule, the Upstream Responsibility rule, which takes into account these limits in distributing costs “fairly” and we provide an axiomatic characterization of this rule via certain properties based on basic ideas concerning the responsibility of regions.Publication Open Access Allocating the costs of cleaning a river: expected responsibility versus median responsibility(Springer, 2020) Alcalde Unzu, Jorge; Gómez Rúa, María; Molis Bañales, Elena; Economía; EkonomiaWe consider the problem of cleaning a transboundary river, proposed by Ni and Wang (Games Econ Behav 60:176–186, 2007). A river is modeled as a segment divided into subsegments, each occupied by one region, from upstream to downstream. The waste is transferred from one region to the next at some rate. Since this transfer rate may be unknown, the social planner could have uncertainty over each region’s responsibility. Two natural candidates to distribute the costs in this setting would be the method that assigns to each region its expected responsibility and the one that assigns to each region its median responsibility. We show that the latter is equivalent to the Upstream Responsibility method (Alcalde-Unzu et al. in Games Econ Behav 90:134–150, 2015) and the former is a new method that we call Expected Responsibility. We compare both solutions and analyze them in terms of a new property of monotonicity.Publication Open Access Sharing the costs of cleaning a river: the upstream responsibility rule(2013) Alcalde Unzu, Jorge; Gómez Rúa, María; Molis Bañales, Elena; Economía; EkonomiaThe cleaning up of waste present in transboundary rivers, which requires the cooperation of different authorities, is a problematic issue, especially when responsibility for the discharge of the waste is not well-defined. Following Ni and Wang [12] we assume that a river is a segment divided into several regions from upstream to downstream. We show that when the transfer rate of the waste is unknown, the clean-up cost vector provides useful information for estimating some limits in regard to the responsibility of ach region. We propose a cost allocation rule, the Upstream Responsibility rule, which takes into account these limits in distributing costs 'fairly' and we provide an axiomatic characterization of this rule via certain properties based on basic ideas concerning the responsibility of regions.