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A linear model for freight transportation

Author

Listed:
  • Valencia-Toledo, Alfredo
  • Vidal-Puga, Juan
Abstract
We propose a new freight transportation problem to distribute the benefit of ore transportation throughout a linear route to compensate the communities located on it. Such distribution aims to avoid conflicts generated by the transportation that causes external costs such as air, water, and land pollution to communities that can block the route, forcing more expensive alternatives. We propose a solution based on stability and fairness principles. In particular, we present some reasonable properties to characterize a family of assignment rules for determining compensation to local communities.

Suggested Citation

  • Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2023. "A linear model for freight transportation," MPRA Paper 119301, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:119301
    as

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    File URL: https://mpra.ub.uni-muenchen.de/119301/1/MPRA_paper_119301.pdf
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    References listed on IDEAS

    as
    1. Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 227-240.
    2. Panfei Sun & Dongshuang Hou & Hao Sun, 2019. "Responsibility and sharing the cost of cleaning a polluted river," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(1), pages 143-156, February.
    3. Jorge Alcalde-Unzu & María Gómez-Rúa & Elena Molis, 2021. "Allocating the costs of cleaning a river: expected responsibility versus median responsibility," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 185-214, March.
    4. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    5. Bergantinos, Gustavo & Lorenzo, Leticia, 2008. "The equal award principle in problems with constraints and claims," European Journal of Operational Research, Elsevier, vol. 188(1), pages 224-239, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Cooperative game theory; core; mining; freight transportation;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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