The weak-core of a game in normal form with a continuum of players

被引：22

作者：

Askoura, Y. ^{[1
]}

机构：

[1] GRETIA, INRETS, F-93166 Noisy Le Grand, France

来源：

JOURNAL OF MATHEMATICAL ECONOMICS | 2011年 / 47卷 / 01期

关键词：

Weak-core; alpha-core; Game with a continuum of players; Large anonymous games; Normal form games; NONCONVEX PREFERENCES; APPROXIMATE CORES; EXISTENCE; EQUILIBRIA; MARKETS; TRADERS; THEOREM; NONEMPTINESS; ECONOMY; SPACE;

D O I：

10.1016/j.jmateco.2010.11.003

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper deals with the weak-core of normal form games with a continuum set of players and without side payments. This concept is an approximation of the core introduced by Weber, Shapley and Shubik. The weak-core is slightly larger than Aumann's alpha-core when adapted to large anonymous games. A non-emptiness result is obtained based on the well known Scarfs non-vacuity theorem for finite games. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：43 / 47

页数：5

共 34 条

[1] STRONG CORE THEOREMS WITH NONCONVEX PREFERENCES
ANDERSON, RM
[J]. ECONOMETRICA, 1985, 53 (06) : 1283 - 1294
[2] Aumann R.J., 1961, Trans. Amer. Math. Soc., V98, P539, DOI 10.1090/S0002-9947-1961-0127437-2
[3] EXISTENCE OF COMPETITIVE EQUILIBRIA IN MARKETS WITH A CONTINUUM OF TRADERS
AUMANN, RJ
[J]. ECONOMETRICA, 1966, 34 (01) : 1 - &
[4] MARKETS WITH A CONTINUUM OF TRADERS
AUMANN, RJ
[J]. ECONOMETRICA, 1964, 32 (1-2) : 39 - 50
[5] AN EXTENSION OF SKOROHOD ALMOST SURE REPRESENTATION THEOREM
BLACKWELL, D
DUBINS, LE
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 89 (04) : 691 - 692
[6] Bogachev VI., 2007, MEASURE THEORY, DOI [10.1007/978-3-540-34514-5, DOI 10.1007/978-3-540-34514-5]
[7] Hart Sergiu, 1974, J MATH ECON, V1, P159
[8] EXISTENCE OF APPROXIMATE EQUILIBRIA AND CORES
HILDENBRAND, W
SCHMEIDLER, D
ZAMIR, S
[J]. ECONOMETRICA, 1973, 41 (06) : 1159 - 1166
[9] CORE OF AN ECONOMY WITH A MEASURE SPACE OF ECONOMIC AGENTS
HILDENBRAND, W
[J]. REVIEW OF ECONOMIC STUDIES, 1968, 35 (04) : 443 - 452
[10] Hildenbrand W., 1974, CORE EQUILIBRIA LARG

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