On the $$\alpha $$ α -core of set payoffs games

Yu Zhang () and Xiangkai Sun ()
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Yu Zhang: Yunnan University of Finance and Economics
Xiangkai Sun: Chongqing Technology and Business University

Annals of Operations Research, 2024, vol. 336, issue 3, No 8, 1505-1518

Abstract: Abstract This paper deals with $$\alpha $$ α -core of set payoffs games with finitely many players and finite coalition $$\alpha $$ α -core of set payoffs games with infinitely many players. We present an existence theorem of $$\alpha $$ α -core of set payoffs games with finitely many players. By virtue of finite intersection property, we also establish an existence theorem of finite coalition $$\alpha $$ α -core of set payoffs games with infinitely many players. Besides, we obtain some stability results of solution mapping of $$\alpha $$ α -core of set payoffs games, where set payoff functions and action sets of agents involve perturbed parameters. Moreover, as applications, we obtain the corresponding results for $$\alpha $$ α -core of vector payoffs games.

Keywords: $$\alpha $$ α -core; Infinitely many player; Set payoff; Finite intersection property; 91A10; 91A40; 54C60 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-022-05090-8

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