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

Doudou Gong (), Genjiu Xu (), Xuanzhu Jin () and Loyimee Gogoi ()
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Doudou Gong: Northwestern Polytechnical University
Genjiu Xu: Northwestern Polytechnical University
Xuanzhu Jin: Northwestern Polytechnical University
Loyimee Gogoi: Northwestern Polytechnical University

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2022, vol. 30, issue 2, No 6, 359-379

Abstract: 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.

Keywords: Non-cooperative; Sequential partition; Bankruptcy problem; Constrained equal awards; 91A10; 91A25 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11750-021-00617-x

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