A weak α-core existence theorem of games with nonordered preferences and a continuum of agents

被引：7

作者：

Yang, Zhe ^{[1
,2
]}

Zhang, Xian ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China

[2] Minist Educ, Key Lab Math Econ SUFE, Shanghai 200433, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ECONOMICS | 2021年 / 94卷

关键词：

Weak alpha-core; Existence; Nonordered preferences; A continuum of agents; NORMAL-FORM GAMES; COMPETITIVE EQUILIBRIA; EXCHANGE ECONOMIES; HYBRID SOLUTIONS; NON-EMPTINESS; FUZZY CORE; EQUIVALENCE; MARKETS;

D O I：

10.1016/j.jmateco.2020.102464

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Inspired by Kajii (1992) and Askoura (2011, 2017), we introduce the notion of the weak alpha-core for games with nonordered preferences and a continuum of agents. First, we extend the work of Kajii (1992) to games with spaces of strategies defined on Hausdorff topological vector spaces. Furthermore, we prove the nonemptiness of the weak alpha-core. Finally, we establish the relations between normal-form games, games with nonordered preferences and games with pseudo-utilities. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：8

共 47 条

[1]

[Anonymous], 1974, Core and Equilibria of a Large Economy

[2] On the core of normal form games with a continuum of players [J].

Askoura, Y. .

MATHEMATICAL SOCIAL SCIENCES, 2017, 89 :32-42

[3] An interim core for normal form games and exchange economies with incomplete information [J].

Askoura, Y. .

JOURNAL OF MATHEMATICAL ECONOMICS, 2015, 58 :38-45

[4] The ex ante α-core for normal form games with uncertainty [J].

Askoura, Y. ;

Sbihi, M. ;

Tikobaini, H. .

JOURNAL OF MATHEMATICAL ECONOMICS, 2013, 49 (02) :157-162

[5] The weak-core of a game in normal form with a continuum of players [J].

Askoura, Y. .

JOURNAL OF MATHEMATICAL ECONOMICS, 2011, 47 (01) :43-47

[6] EXISTENCE OF COMPETITIVE EQUILIBRIA IN MARKETS WITH A CONTINUUM OF TRADERS [J].

AUMANN, RJ .

ECONOMETRICA, 1966, 34 (01) :1-&

[7] MARKETS WITH A CONTINUUM OF TRADERS [J].

AUMANN, RJ .

ECONOMETRICA, 1964, 32 (1-2) :39-50

[8]

AUMANN RJ, 1961, T AM MATH SOC, V98, P539, DOI DOI 10.1090/S0002-9947-1961-0127437-2

[9] EXISTENCE OF EQUILIBRIA IN ECONOMIES WITH INFINITELY MANY COMMODITIES [J].

BEWLEY, TF .

JOURNAL OF ECONOMIC THEORY, 1972, 4 (03) :514-540

[10] A CORE EXISTENCE THEOREM FOR GAMES WITHOUT ORDERED PREFERENCES [J].

BORDER, KC .

ECONOMETRICA, 1984, 52 (06) :1537-1542

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