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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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    11. Jean-Marc Bonnisseau & Vincent Iehlé, 2007. "Payoff-dependent balancedness and cores (revised version)," UFAE and IAE Working Papers 678.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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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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