Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games (Q2706916)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games |
scientific article |
Statements
1 August 2002
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existence theorems
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maximal elements
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\(H\)-spaces
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Fan-Yen minimax inequality
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equilibrium
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qualitative game
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abstract economy
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Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games (English)
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The author proves two new existence theorems for maximal elements in \(H\)-spaces. In particular, he obtains an extended version of Fan-Yen minimax inequality as well as some new existence theorems of an equilibrium for a qualitative game and an abstract economy. The paper concludes with an interesting new open problem.
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