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Cooperative games under bubbly uncertainty

Author

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  • O. Palancı
  • S. Alparslan Gök
  • G. Weber

Abstract

The allocation problem of rewards/costs is a basic question for players, namely, individuals and companies that are planning cooperation under uncertainty. The involvement of uncertainty in cooperative game theory is motivated by the real world in which noise in observation and experimental design, incomplete information and vagueness in preference structures and decision-making play an important role. In this study, a new class of cooperative games, namely, the cooperative bubbly games, where the worth of each coalition is a bubble instead of a real number, is presented. Furthermore, a new solution concept, the bubbly core, is defined. Finally, the properties and the conditions for the non-emptiness of the bubbly core are given. The paper ends with a conclusion and an outlook to related and future studies. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • O. Palancı & S. Alparslan Gök & G. Weber, 2014. "Cooperative games under bubbly uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(2), pages 129-137, October.
    • Handle: RePEc:spr:mathme:v:80:y:2014:i:2:p:129-137
    DOI: 10.1007/s00186-014-0472-y
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    References listed on IDEAS

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    5. Werner Krabs & Stefan Pickl, 2004. "A Game-Theoretic Treatment Of A Time-Discrete Emission Reduction Model," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 21-34.
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    3. Maher Agi & Xinghao Yan, 2020. "Greening products in a supply chain under market segmentation and different channel power structures," Post-Print hal-02898158, HAL.

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