Weighted bankruptcy rules and the museum pass problem

Casas-Méndez, Balbina; Fragnelli, Vito; Garćıa-Jurado, Ignacio

doi:10.1016/j.ejor.2011.05.033

Cited by 33 publications

(25 citation statements)

References 13 publications

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“…It suggests that the way in which the countries' contributions are taken into account may be refined. Like non-weighted cases, the weighted CEA rule considers claims as upper bounds and agents with small claims are benefit, whereas the weighted CEL rule interprets as fundamental rights or vital necessities and prefers agents with big claims (Casas-Méndez et al 2011). Hence, the results of the weighted CEA and classical CEA are equal.…”

Section: Case Studymentioning

confidence: 91%

“…As can be seen in this Table, assigning the relative weights decreases the allocation of Turkey and increases the portion of Iraq. As Casas-Méndez et al (2011) argue, the weighted CEA rule meet the full claim of agent whose claim is smaller than the proportional division of assets with respect to weights whereas the weighted CEL rule gives nothing to the agent whose claim is so small which does not reach the proportional division of loss with respect to weights. The weighted PRO rule lies between these rules.…”

Section: Case Studymentioning

confidence: 99%

“…These methods have not been addressed extensively. They were studied in Lee (1994), Moulin (2000), Hokari and Thomson (2003) and Casas-Méndez et al (2011). Lee (1994) discusses a weighted version of the constrained equal awards rule and develops a characterization of this rule based on consistency.…”

Section: Introductionmentioning

confidence: 99%

“…Hokari and Thomson (2003) studied the family of weighted Talmud rules. Casas-Méndez et al (2011) give four axiomatic characterizations of the weighted constrained adjusted proportional (APRO) rule, the weighted CEA rule, the weighted CEL rule, and the weighted constrained proportional (PRO) rule.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Weighted Bankruptcy Rules and Transboundary Water Resources Allocation

Mianabadi

Mostert

Pande

et al. 2015

Water Resour Manage

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One significant problem of transboundary river basins causing various challenges and disputes throughout the world is that because of increasing water resource variability and consumption, the water demand often exceeds water availability. Hence, one of the main challenges in transboundary river basin management is how to allocate the available water among the riparian states equitably and reasonably. In this study, we propose a novel weighted bankruptcy solution method to cope with the problem of demands or Bclaims^exceeding resources or Bassets^. Certain desirable key properties of the proposed method are provided. Furthermore, we investigate its application to the Tigris River, a shared river among Turkey, Syria and Iraq, as a real case. The available water is allocated under two different situations: homogeneous and heterogeneous group. We use the Shapley Value and compare the solution with other allocation methods applied in this study. The results suggest that this new rule may facilitate negotiation in solving conflict over the allocation of water in transboundary river basins.

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Section: Case Studymentioning

confidence: 91%

Section: Case Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Weighted Bankruptcy Rules and Transboundary Water Resources Allocation

Mianabadi

Mostert

Pande

et al. 2015

Water Resour Manage

View full text Add to dashboard Cite

show abstract

“…5 The former postulates that the part of a claim that is above the amount to divide should be ignored. That is, R(N, c, E) = R(N, t(N, c, E), E), where t i (N, c, E) = min{E, c i } for each i ∈ N .…”

Section: Independence Propertiesmentioning

confidence: 99%