On the minimal representation of homogeneous games (Q1093575)

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scientific article; zbMATH DE number 4023066
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English
On the minimal representation of homogeneous games
scientific article; zbMATH DE number 4023066

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    On the minimal representation of homogeneous games (English)
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    1987
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    The author considers weighted majority games. For such a game he defines a representation by a number \(\mu\) and an integral measure over coalitions. He introduces a natural concept for minimal representations. Among the class of weighted majority games, he specifies homogeneous games. The main result is that homogeneous weighted majority games have a unique minimal representation.
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    weighted majority games
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    minimal representations
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    homogeneous games
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