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A sequential partition method for non-cooperative games of bankruptcy problems

Author

Listed:
  • Doudou Gong

    (Northwestern Polytechnical University)

  • Genjiu Xu

    (Northwestern Polytechnical University)

  • Xuanzhu Jin

    (Northwestern Polytechnical University)

  • Loyimee Gogoi

    (Northwestern Polytechnical University)

Abstract

This paper presents a sequential partition method for non-cooperative games of bankruptcy problems. Based on the ascending order of claims, two consequential games are introduced, called the divide-and-choose game and the divide-and-object game. We prove that the unique Nash equilibrium outcome of each game is consistent with the allocation of the constrained equal awards rule.

Suggested Citation

  • Doudou Gong & Genjiu Xu & Xuanzhu Jin & Loyimee Gogoi, 2022. "A sequential partition method for non-cooperative games of bankruptcy problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 359-379, July.
    • Handle: RePEc:spr:topjnl:v:30:y:2022:i:2:d:10.1007_s11750-021-00617-x
    DOI: 10.1007/s11750-021-00617-x
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    References listed on IDEAS

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    1. Qianqian Kong & Hans Peters, 2023. "Sequential claim games," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 955-975, September.

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