On the α-core of set payoffs games

被引：0

作者：

Zhang, Yu ^{[1
]}

Sun, Xiangkai ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing Key Lab Social Econ & Appl Stat, Chongqing 400067, Peoples R China

来源：

ANNALS OF OPERATIONS RESEARCH | 2022年 / 336卷 / 03期

基金：

中国国家自然科学基金;

关键词：

alpha-core; Infinitely many player; Set payoff; Finite intersection property; NORMAL-FORM GAMES; COOPERATIVE EQUILIBRIA; HOLDER CONTINUITY; STABILITY; EXISTENCE; THEOREM;

D O I：

10.1007/s10479-022-05090-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with a-core of set payoffs games with finitely many players and finite coalition alpha-core of set payoffs games with infinitely many players. We present an existence theorem of alpha-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-core of set payoffs games with infinitely many players. Besides, we obtain some stability results of solution mapping of a-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-core of vector payoffs games.

引用

页码：2111 / 2124

页数：14

共 33 条

[1] On the core of normal form games with a continuum of players
Askoura, Y.
[J]. MATHEMATICAL SOCIAL SCIENCES, 2017, 89 : 32 - 42
[2] An interim core for normal form games and exchange economies with incomplete information
Askoura, Y.
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2015, 58 : 38 - 45
[3] The ex ante α-core for normal form games with uncertainty
Askoura, Y.
Sbihi, M.
Tikobaini, H.
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2013, 49 (02) : 157 - 162
[4] The weak-core of a game in normal form with a continuum of players
Askoura, Y.
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2011, 47 (01) : 43 - 47
[5] Aubin JP., 1984, APPL NONLINEAR ANAL
[6] Aumann RJ., 1961, T AM MATH SOC, V98, P539, DOI [10.1090/S0002-9947-1961-0127437-2, DOI 10.1090/S0002-9947-1961-0127437-2]
[7] Chen CR, 2007, J IND MANAG OPTIM, V3, P519
[8] Fort M.K., 1951, PUBL MATH-DEBRECEN, V2, P100
[9] Hung N.V., 2022, MATH NACHR
[10] Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani-Fan-Glicksberg fixed-point theorem
Hung, Nguyen Van
Keller, Andre A.
[J]. OPTIMIZATION LETTERS, 2022, 16 (05) : 1477 - 1493

← 1 2 3 4 →