Discrete fixed point theorems and their application to Nash equilibrium (Q1026959)
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scientific article; zbMATH DE number 5572679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete fixed point theorems and their application to Nash equilibrium |
scientific article; zbMATH DE number 5572679 |
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Discrete fixed point theorems and their application to Nash equilibrium (English)
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30 June 2009
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The authors present several discrete fixed point theorems for set-valued mappings \(f: V\to V\), with \(V\) a finite set. No convexity assumptions are imposed. The fixed point results are applied to a non-cooperative \(n\)-person game. An existence theorem of a Nash equilibrium of pure strategies is obtained.
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discrete fixed point theorem
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pure strategy
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Nash equilibrium
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0.9471484
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0.93576056
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0.91428316
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0.91077787
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0.9030361
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0.9004649
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0.9002099
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