On a covering theorem

被引：0

作者：

Tatsuro Ichiishi

Adam Idzik

机构：

[1] Department of Economics,

[2] Ohio State University,undefined

[3] Columbus,undefined

[4] OH 43210-1172,undefined

[5] USA (e-mail: ichiishi.1@osu.edu) ,undefined

[6] Institute of Computer Science,undefined

[7] Polish Academy of Sciences,undefined

[8] ul. Ordona 21,undefined

[9] 01-237 Warsaw,undefined

[10] POLAND (e-mail: adidzik@ipipan.waw.pl) ,undefined

来源：

Economic Theory | 2002年 / 19卷

关键词：

Keywords and Phrases: Shapley's generalization of the K-K-M lemma, Reny-Wooders' strengthening of Shapley's theorem, Ky Fan's coincidence theorem, Invulnerability, Core of a non-side-payment game.; JEL Classification Numbers: C62, C71, D50, D74, L20.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A simple proof of Reny and Wooders' recent strengthening of Shapley's extension of the Knaster-Kuratowski-Mazurkiewicz lemma on a closed cover of a simplex is given. The proof uses Ky Fan's coincidence theorem.

引用

页码：833 / 838

页数：5

共 50 条

[21] APPLICATIONS OF VAUGHT SENTENCES AND COVERING THEOREM
HARNIK, V
MAKKAI, M
[J]. JOURNAL OF SYMBOLIC LOGIC, 1976, 41 (01) : 171 - 187
[22] A COVERING THEOREM FOR TYPICALLY REAL FUNCTIONS
BRANNAN, DA
KIRWAN, WE
[J]. GLASGOW MATHEMATICAL JOURNAL, 1969, 10 : 153 - &
[23] COVERING THEOREM FOR UPPER BASIC SUBGROUPS
HILL, PD
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (07): : 1055 - &
[24] COVERING THEOREM FOR QUASI-GROUPS
ABBOTT, HL
LIU, AC
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1978, 25 (01) : 72 - 75
[25] ON THE BEST CONSTANT FOR THE BESICOVITCH COVERING THEOREM
FUREDI, Z
LOEB, PA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (04) : 1063 - 1073
[26] Vitali Covering Theorem in Hilbert space
Tiser, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3277 - 3289
[27] MAIN THEOREM ON COVERING-SURFACES
SUN, DC
[J]. ACTA MATHEMATICA SCIENTIA, 1994, 14 (02) : 213 - 225
[28] The Multidimensional Weyl Theorem and Covering Families
A. G. Brusentsev
[J]. Mathematical Notes, 2003, 73 : 36 - 45
[29] The Vitali covering theorem in constructive mathematics
Diener, Hannes
Hedin, Anton
[J]. JOURNAL OF LOGIC AND ANALYSIS, 2012, 4
[30] A THEOREM OF MOEGLIN AND WALDSPURGER FOR COVERING GROUPS
Patel, Shiv Prakash
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2015, 273 (01) : 225 - 239

← 1 2 3 4 5 →