Sharing a Multi-National Resource through Bankruptcy Procedures

Sheikhmohammady, Majid; Madani, Kaveh

doi:10.1061/40976(316)556

Cited by 27 publications

(25 citation statements)

References 1 publication

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“…Table compares the results obtained by

f^{C E A, P}

with those discussed by Sheikhmohammady and Madani (): the P rule, the CEA rule, and the adjusted proportional

(A P)

rule.…”

Section: Applications To Real‐world Problemsmentioning

confidence: 96%

“…The MIA situation

true(R, N, E, C true)

associated with the Caspian Sea is as follows. R has two issues: oil and natural gas. N has five agents, the five countries we have mentioned. The estate

E

is the value of the total reserves of oil and natural gas. According to Sheikhmohammady and Madani (), it is US$13,512 billion. We should mention that these values could change as new oil and natural gas prospecting projects are carried out in the region. The vector of claims

C

is also obtained from Sheikhmohammady and Madani ().…”

Section: Applications To Real‐world Problemsmentioning

confidence: 99%

“…According to Sheikhmohammady and Madani (), it is US$13,512 billion. We should mention that these values could change as new oil and natural gas prospecting projects are carried out in the region. The vector of claims

C

is also obtained from Sheikhmohammady and Madani (). Table shows the values in billions of US dollars of oil and gas claims made by the five countries.…”

Section: Applications To Real‐world Problemsmentioning

confidence: 99%

“…In particular, they compared the results obtained using different bankruptcy rules such as the P rule and the CEA rule. In this article, we take the data from Sheikhmohammady and Madani () and apply the MIA rule introduced in this article to such data.…”

Section: Introductionmentioning

confidence: 99%

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Mixed rules in multi‐issue allocation situations

Bergantiños

Chamorro

Lorenzo

et al. 2018

Naval Research Logistics

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Multi‐issue allocation situations study problems where an estate must be divided among a group of agents. The claim of each agent is a vector specifying the amount claimed by each agent on each issue. We present a two‐stage rule. First, we divide the estate among the issues following the constrained equal awards rule. Second, the amount assigned to each issue is divided among the agents in proportion to their demands on this issue. We apply the rule to two real‐world problems: the distribution of natural resources between countries and the distribution of budget for education and research between universities.

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“…Table compares the results obtained by

f^{C E A, P}

with those discussed by Sheikhmohammady and Madani (): the P rule, the CEA rule, and the adjusted proportional

(A P)

rule.…”

Section: Applications To Real‐world Problemsmentioning

confidence: 96%

“…The MIA situation

true(R, N, E, C true)

associated with the Caspian Sea is as follows. R has two issues: oil and natural gas. N has five agents, the five countries we have mentioned. The estate

E

C

is also obtained from Sheikhmohammady and Madani ().…”

Section: Applications To Real‐world Problemsmentioning

confidence: 99%

C

is also obtained from Sheikhmohammady and Madani (). Table shows the values in billions of US dollars of oil and gas claims made by the five countries.…”

Section: Applications To Real‐world Problemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mixed rules in multi‐issue allocation situations

Bergantiños

Chamorro

Lorenzo

et al. 2018

Naval Research Logistics

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show abstract

“…They also proposed and applied bankruptcy optimization models to allocate water based on four bankruptcy rules with respect to time sensitivity of water deliveries during the planning horizon in this basin (Madani et al 2014). To determine a fair resource allocation based on the legal status of the Caspian Sea, four bankruptcy rules were applied to reallocate oil and gas resources among the five littoral states (Sheikhmohammady and Madani 2008). The Talmud rule was applied in a water resource distribution problem by Li (2009).…”

Section: Introductionmentioning

confidence: 99%

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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Seeking a strategic cross boundary solution to the Indus Water basin sharing decisions

Ahmed

Iqbal

Haq

2020

Journal of Public Affairs

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Indus Basin is the second largest river basin in Asia shared by China, India, Pakistan and Afghanistan. Rapid climatic changes and exponential population growth have put tremendous pressure on the already depleting water resources in Indus Basin. The absence of supra‐national authority and a basin‐wide cooperation agreement is further exaggerating Basin's challenges. Moreover, an already existing Indus Water Treaty, a bilateral treaty signed between India and Pakistan is proving to be insufficient to regulate the water supply amidst the growing political tensions among the Indus riparian. To address this cross‐boundary issue, armed with game theory‐based strategies, this research proposes optimal water allocation solutions. The study adopted Bankruptcy and Asymmetric Nash bargaining solutions to determine optimal water allocations/Pareto‐optimal solutions. The results show that the optimal allocation for Pakistan and India are 181.95 and 101.95 km3 respectively, while for Afghanistan and China, the optimal allocation was found to be 2.99 and 0.11 km3 respectively. The sensitivity analysis reveals that the water allocations of Pakistan and India are sensitive to their respective changes in water claims, while insensitive to the changes in water claim of Afghanistan and China. The findings of the study can be used for negotiations and have the potential to serve as a major tool in bringing stability in the region by allocating the water optimally.

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Sharing a Multi-National Resource through Bankruptcy Procedures

Cited by 27 publications

References 1 publication

Mixed rules in multi‐issue allocation situations

Mixed rules in multi‐issue allocation situations

Weighted Bankruptcy Rules and Transboundary Water Resources Allocation

Seeking a strategic cross boundary solution to the Indus Water basin sharing decisions

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