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On Balanced Host Games: A Sufficient Condition for Non-Emptiness of the Core

Author

Listed:
  • Yan-An Hwang

    (Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan)

  • Yu-Hsien Liao

    (Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan)

  • Bo-Yao Wang

    (Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan)

Abstract

Non-transferable utility (NTU) games arise from many economic situations. A classic example is the exchange economy. By pooling and redistributing their initial endowments, coalitions can achieve certain distributions of gains (utilities) that make up the coalition’s feasible set. This paper studies a new class of NTU games called host games. A host game is an agent-parametrized family of NTU games, and an NTU game is associated with any agent (called the host in that case). We provide an adequate presumption for the existence of an allocation that is part of the host game’s core.

Suggested Citation

  • Yan-An Hwang & Yu-Hsien Liao & Bo-Yao Wang, 2022. "On Balanced Host Games: A Sufficient Condition for Non-Emptiness of the Core," Mathematics, MDPI, vol. 10(20), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3897-:d:948070
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    References listed on IDEAS

    as
    1. Predtetchinski, Arkadi & Jean-Jacques Herings, P., 2004. "A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game," Journal of Economic Theory, Elsevier, vol. 116(1), pages 84-92, May.
    2. Joseph Greenberg, 1985. "Cores of Convex Games Without Side Payments," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 523-525, August.
    3. Yan-An Hwang, 2013. "A note on the core," Journal of Global Optimization, Springer, vol. 55(3), pages 627-632, March.
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