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2024
- handle: 10670/1.r91cz1
- hal: hal-04574752
- doi: 10.1007/s00182-024-00893-4
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info:eu-repo/semantics/altIdentifier/doi/10.1007/s00182-024-00893-4
info:eu-repo/semantics/OpenAccess
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Amusements Children--Recreation Games for children Pastimes Primitive games Recreations Games, Primitive Children's gamesCiter ce document
André Casajus et al., « Second-order productivity, second-order payoffs, and the Banzhaf value », HAL-SHS : économie et finance, ID : 10.1007/s00182-024-00893-4
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First, we suggest and discuss second-order versions of properties for solutions for TU games used to characterize the Banzhaf value, in particular, of standardness for two-player games, of the dummy player property, and of 2-efficiency. Then, we provide a number of characterizations of the Banzhaf value invoking the following properties: (i) [second-order standardness for two-player games or the second-order dummy player property] and 2-efficiency, (ii) standardness for one-player games, standardness for two-player games, and second-order 2-efficiency, (iii) standardness for one-player games, [second-order standardness for two-player games or the second-order dummy player property], and second-order 2-efficiency. These characterizations also work within the classes of simple games, of superadditive games, and of simple superadditive games.