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The Aumann-Drèze Value, The Wiese Value, And Stability: A Note

Author

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  • ANDREAS TUTIC

    (Universität Leipzig, Lehrstuhl für Mikroökonomik & Institut für Soziologie, Germany)

Abstract

In this note we present an example of a TU game where both the value presented by Aumann and Drèze (1974) and the value introduced by Wiese (2007) do not exhibit a stable coalition structure.

Suggested Citation

  • Andreas Tutic, 2010. "The Aumann-Drèze Value, The Wiese Value, And Stability: A Note," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 189-195.
    • Handle: RePEc:wsi:igtrxx:v:12:y:2010:i:02:n:s0219198910002593
    DOI: 10.1142/S0219198910002593
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    Citations

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    Cited by:

    1. Gusev, Vasily V., 2021. "Nash-stable coalition partition and potential functions in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1180-1188.
    2. Abe, Takaaki, 2021. "Stability and values for games with coalition structures," Economics Letters, Elsevier, vol. 200(C).
    3. Elena Parilina & Artem Sedakov, 2016. "Stable Cooperation in a Game with a Major Player," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-20, June.
    4. Xianghui Li & Yang Li, 2021. "On the Structural Stability of Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 189(3), pages 873-888, June.
    5. Casajus, André & La Mura, Pierfrancesco, 2024. "Null players, outside options, and stability: The conditional Shapley value," Journal of Mathematical Economics, Elsevier, vol. 110(C).

    More about this item

    Keywords

    TU games; stability; Wiese value; AD value; χ-value;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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