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

Doudou Gong ^[1] ; Genjiu Xu ^[1] ; Xuanzhu Jin ^[1] ; Loyimee Gogoi ^[1]
1. [1] Northwestern Polytechnical University
  
  Northwestern Polytechnical University
  
  China
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 30, Nº. 2, 2022, págs. 359-379
Idioma: inglés
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Resumen
- 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.