Journal of the Operations Research Society of China ›› 2024, Vol. 12 ›› Issue (2): 520-527.doi: 10.1007/s40305-022-00420-w

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Existence of α-Cores for Games Without Compact Assumptions

Hai-Qun Zhang   

  1. School of International Economics and Trade, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
  • Received:2020-11-27 Revised:2022-03-04 Online:2024-06-30 Published:2024-06-12
  • Contact: Hai-Qun Zhang E-mail:haiqunz1984@sina.cn

Abstract: Following the representation of Kajii (J Econ Theory 56:194–205, 1992), we provide some existence theorems of α-cores for games without ordered preferences and compact assumptions. As applications, we obtain some existence results of the α-core for normal-form games without compact assumptions.

Key words: α-Core, Existence, Preference, Noncompactness

CLC Number: