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The Nucleolus and Inheritance of Properties in Communication Situations

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  • Schouten, Jop

    (Tilburg University, Center For Economic Research)

  • Dietzenbacher, Bas

    (Tilburg University, Center For Economic Research)

  • Borm, Peter

    (Tilburg University, Center For Economic Research)

Abstract

This paper studies the nucleolus of graph-restricted games as an alternative for the Shapley value to evaluate communication situations. We focus on the inheritance of properties of cooperative games related to the nucleolus: strong compromise admissibility and compromise stability. These two properties allow for a direct, closed formula for the nucleolus. We characterize the families of graphs for which the graph-restricted games inherit these properties from the underlying games. Moreover, for each of these two properties, we characterize the family of graphs for which the nucleolus is invariant
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Suggested Citation

  • Schouten, Jop & Dietzenbacher, Bas & Borm, Peter, 2019. "The Nucleolus and Inheritance of Properties in Communication Situations," Discussion Paper 2019-008, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:bacc7f47-9b6b-4ce4-9f97-4c80dbaface8
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    References listed on IDEAS

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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. Dietzenbacher, Bas & Vermeulen, Dries, 2025. "Graph-restricted games and their inheritance of properties," Research Memorandum 003, Maastricht University, Graduate School of Business and Economics (GSBE).
    3. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.

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    More about this item

    Keywords

    nucleolus; communication situations; graph-restricted game; inheritance of properties; compromise stability; strong compromise admissibility; invariance;
    All these keywords.

    JEL classification:

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

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