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A Novel Graph Model for Conflict Resolution Under Power Asymmetry of Multiple Decision-Makers for Medical-Nursing Care Implementation in China

Author

Listed:
  • Sifan Dai

    (Nanjing University of Aeronautics and Astronautics)

  • Bismark Appiah Addae

    (Nanjing University of Aeronautics and Astronautics)

  • Yangzi Jiang

    (The Chinese University of Hong Kong (Shenzhen))

  • Haiyan Xu

    (Nanjing University of Aeronautics and Astronautics)

Abstract

Implementing integrated medical-nursing care programs for the elderly is increasingly recognized as a standard approach to address the challenges of elderly care in China. However, fierce conflicts have erupted during the implementation of medical-nursing care due to resource limitations. To achieve viable integration, it is crucial to leverage the government’s inherent power for effectively resolving the current conflicts. Therefore, this paper proposes a negotiation approach aimed at effectively solving the conflicts among the Government, Medical-nursing institutions, and Elderly population in China based on the graph model for conflict resolution under power asymmetry (GMCRPA). The novelty includes demonstrating how medical-nursing institutions and the elderly population can adjust their preferences to reach consensus with the government. Compared with the existing GMCRPA model for two decision-makers (DMs), the complexity of the opponent’s movement patterns is greatly increased in the models including multiple decision-makers. Thus, an approach for calculating the reachable sets of the heterogeneous opponent coalition is presented in this paper. Furthermore, the introduced stability analysis also reflects the interaction of different decision-makers under power asymmetry, which makes the proposal being more in line with real-world scenarios. Finally, the robustness of the proposed method is demonstrated in a practical application aimed at resolving medical-nursing care conflicts. The study offers policymakers conflict negotiation strategies rooted in power theory, facilitating the sustainable implementation of an integrated healthcare system for the aging population.

Suggested Citation

  • Sifan Dai & Bismark Appiah Addae & Yangzi Jiang & Haiyan Xu, 2025. "A Novel Graph Model for Conflict Resolution Under Power Asymmetry of Multiple Decision-Makers for Medical-Nursing Care Implementation in China," Group Decision and Negotiation, Springer, vol. 34(3), pages 523-556, June.
  • Handle: RePEc:spr:grdene:v:34:y:2025:i:3:d:10.1007_s10726-025-09921-4
    DOI: 10.1007/s10726-025-09921-4
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    References listed on IDEAS

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    1. Jinmuzi Zhang & Haiyan Xu & Ginger Y. Ke, 2024. "A Novel Consensus and Dissent Framework Under Grey Preference Based on the Graph Model for Conflict Resolution for Two Decision Makers," Group Decision and Negotiation, Springer, vol. 33(4), pages 711-744, August.
    2. Keith W. Hipel & Liping Fang & D. Marc Kilgour, 2020. "The Graph Model for Conflict Resolution: Reflections on Three Decades of Development," Group Decision and Negotiation, Springer, vol. 29(1), pages 11-60, February.
    3. Song, Shan & Wang, De & Zhu, Wei & Wang, Can, 2020. "Study on the spatial configuration of nursing homes for the elderly people in Shanghai: Based on their choice preference," Technological Forecasting and Social Change, Elsevier, vol. 152(C).
    4. Darkwah, Frank, 2022. "Does free health insurance improve health care use and labour market outcomes of the elderly in Ghana?," The Journal of the Economics of Ageing, Elsevier, vol. 23(C).
    5. Inohara, Takehiro, 2023. "Similarities, differences, and preservation of efficiencies, with application to attitude analysis, within the Graph Model for Conflict Resolution," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1330-1348.
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