Fixed point theorems for nonconvex valued correspondences and applications in game theory (Q2863559)
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scientific article; zbMATH DE number 6232016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems for nonconvex valued correspondences and applications in game theory |
scientific article; zbMATH DE number 6232016 |
Statements
22 November 2013
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nonconvex valued correspondence
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fixed point
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equilibrium
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quasi-game
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math.OC
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Fixed point theorems for nonconvex valued correspondences and applications in game theory (English)
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The author introduces some new types of not necessarily continuous or convex multifunctions (called, respectively, weakly naturally quasiconvex, *-weakly naturally quasiconvex, weakly biconvex, with *-weakly convex graph) and proves some selection and fixed point results for these. As application, the existence of equilibria for quasi-games is proved.
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