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A Sensitive Flexible Network Approach

Author

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  • Noemí Navarro

    (Department of Economic Theory, Universidad de Málaga)

Abstract

This paper takes an axiomatic approach to find rules for allocating the value of a network when the externalities generated across components are identifiable. Two new, and different, allocation rules are defined and characterized in this context. The first one is an extension of the player-based flexible-network allocation rule (Jackson (2005)). The second one follows the flexible network approach from a component-wise point of view, where the notion of network flexibility is adjusted with a flavor of core stability. Furthermore, two other allocation rules are proposed by relaxing the axiom of equal treatment of vital players. These collapse into the player-based flexible-network allocation rule (Jackson (2005)) for zero-normalized value functions with no externalities across components.

Suggested Citation

  • Noemí Navarro, 2008. "A Sensitive Flexible Network Approach," Working Papers 2008-2, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center, revised Sep 2008.
    • Handle: RePEc:mal:wpaper:2008-2
    as

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    File URL: https://theeconomics.uma.es/malagawpseries/Papers/METCwp2008-2.pdf
    File Function: First version, 2008
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    References listed on IDEAS

    as
    1. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
    2. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Navarro, Noemi, 2007. "Fair allocation in networks with externalities," Games and Economic Behavior, Elsevier, vol. 58(2), pages 354-364, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    allocation rules; networks; player-based flexible-network allocation rule; Myerson value;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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