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Existence of equilibrium in generalized games with abstract convexity structure - MaRDI portal

Existence of equilibrium in generalized games with abstract convexity structure (Q1579638)

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scientific article; zbMATH DE number 1506901
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Existence of equilibrium in generalized games with abstract convexity structure
scientific article; zbMATH DE number 1506901

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    Existence of equilibrium in generalized games with abstract convexity structure (English)
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    3 February 2003
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    The author proposes a new definition of abstract convex sets in topological spaces. Using this generalized convexity, he presents three new fixed-point theorems. Next, these results are applied to get two theorems about the existence of equilibria in generalized games (abstract economies) with finite number of players.
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    generalized games
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    abstract convexity
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    mc-spaces
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    equilibria
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    fixed points
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