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Cost Allocation Rules for Elastic Single-Attribute Situations

Author

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  • Karsten, Frank
  • Slikker, M.

    (Tilburg University, Center For Economic Research)

  • Borm, P.E.M.

    (Tilburg University, Center For Economic Research)

Abstract

Many cooperative games, especially ones stemming from resource pooling in queueing or inventory systems, are based on situations in which each player is associated with a single attribute (a real number representing, say, a demand) and in which the cost to optimally serve any sum of attributes is described by an elastic function (which means that the per‐demand cost is non‐increasing in the total demand served). For this class of situations, we introduce and analyze several cost allocation rules: the proportional rule, the serial cost sharing rule, the benefit‐proportional rule, and various Shapley‐esque rules. We study their appeal with regard to fairness criteria such as coalitional rationality, benefit ordering, and relaxations thereof. After showing the impossibility of combining coalitional rationality and benefit ordering, we show for each of the cost allocation rules which fairness criteria it satisfies. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 271–286, 2017
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Suggested Citation

  • Karsten, Frank & Slikker, M. & Borm, P.E.M., 2015. "Cost Allocation Rules for Elastic Single-Attribute Situations," Discussion Paper 2015-016, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:e6c6ce3e-6168-40b2-bf64-04ed197e7871
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    Cited by:

    1. Schouten, Jop, 2022. "Cooperation, allocation and strategy in interactive decision-making," Other publications TiSEM d5d41448-8033-4f6b-8ec0-c, Tilburg University, School of Economics and Management.
    2. Schouten, Jop & Groote Schaarsberg, Mirjam & Borm, Peter, 2020. "Cost Sharing Methods for Capacity Restricted Cooperative Purchasing Situations," Other publications TiSEM aa7f747d-c97b-4655-b6cb-9, Tilburg University, School of Economics and Management.
    3. Jop Schouten & Mirjam GrooteSchaarsberg & Peter Borm, 2024. "Cost sharing methods for capacity restricted cooperative purchasing situations," Review of Economic Design, Springer;Society for Economic Design, vol. 28(2), pages 347-390, June.

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    More about this item

    Keywords

    game/group decisions; cooperative mathematics; convexity; inventory/production; applications; gueues; applications;
    All these keywords.

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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