THE EXISTENCE OF EQUILIBRIA IN CERTAIN GAMES, SEPARATION FOR FAMILIES OF CONVEX-FUNCTIONS AND A THEOREM OF BORSUK-ULAM TYPE

被引：29

作者：

SIMON, RS ^{[1
]}

SPIEZ, S ^{[1
]}

TORUNCZYK, H ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST MATEMAT,PL-00950 WARSAW,POLAND

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1995年 / 92卷 / 1-3期

关键词：

D O I：

10.1007/BF02762067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of a Nash equilibrium in the undiscounted repeated two-person game of incomplete information on one side is established. The proof depends on a new topological result resembling in some respect the Borsuk-Ulam theorem.

引用

页码：1 / 21

页数：21

共 10 条

[1] A BORSUK-ULAM TYPE THEOREM FOR A PRODUCT OF SPHERES
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[2] Theorems of Borsuk-Ulam type for flats and common transversals of families of convex compact sets
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[3] A THEOREM OF THE BORSUK-ULAM TYPE FOR MAPS INTO NON-MANIFOLDS
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[8] THE PROPELLER - A COUNTEREXAMPLE TO A CONJECTURED CRITERION FOR THE EXISTENCE OF CERTAIN CONVEX-FUNCTIONS
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[9] STRONGER BORSUK-ULAM TYPE THEOREM FOR PROPER ZP-ACTIONS ON MOD-P HOMOLOGY N-SPHERES
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) : 381 - 386
[10] Non-existence of certain type of convex functions on a Riemannian manifold with a pole
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