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Applications of Ky Fan's inequality on \(\sigma\)-compact set to variational inclusion and \(n\)-person game theory - MaRDI portal

Applications of Ky Fan's inequality on \(\sigma\)-compact set to variational inclusion and \(n\)-person game theory (Q2488804)

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Applications of Ky Fan's inequality on \(\sigma\)-compact set to variational inclusion and \(n\)-person game theory
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    Applications of Ky Fan's inequality on \(\sigma\)-compact set to variational inclusion and \(n\)-person game theory (English)
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    16 May 2006
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    In this paper there are discussed some variational inclusion problems and it is established the existence of a non-cooperative equilibrium in \(n\)-person game theory on a \(\sigma\)-compact set. The main ingredient in the proofs is the set-valued version of Ky Fan's inequality on a closed set
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    Ky Fan inequality
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    set-valued map
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    variational inclusion
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    \(n\)-person game
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    cooperative equilibrium point
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