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A Solution Concept and Its Axiomatic Results under Non-Transferable-Utility and Multi-Choice Situations

Author

Listed:
  • Yan-An Hwang

    (Department of Applied Mathematics, National Down Hwa University, Hualien 974301, Taiwan)

  • Yu-Hsien Liao

    (Department of Applied Mathematics, National Pingtung University, Pingtung County 900391, Taiwan)

Abstract

In real situations, agents might take different energy levels to participate. On the other hand, agents always face an increasing need to focus on non-transferable-utility situations efficiently in their operational processes. Thus, we introduce the replicated core under non-transferable-utility situations, and analyze non-emptiness of the replicated core by means of a balanced result. In order to express the rationality of the replicated core, we also define different reduced games to axiomatize the replicated core.

Suggested Citation

  • Yan-An Hwang & Yu-Hsien Liao, 2020. "A Solution Concept and Its Axiomatic Results under Non-Transferable-Utility and Multi-Choice Situations," Mathematics, MDPI, vol. 8(9), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1559-:d:411948
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    References listed on IDEAS

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    7. Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
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    11. Yan-An Hwang & Wen-Hwa Li, 2005. "The core of multi-choice NTU games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(1), pages 33-40, March.
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    Cited by:

    1. Yu-Hsien Liao, 2022. "Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations," Mathematics, MDPI, vol. 10(5), pages 1-7, February.
    2. Yan-An Hwang & Yu-Hsien Liao, 2022. "The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements," Mathematics, MDPI, vol. 10(5), pages 1-8, March.

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