Second-Order Productivity, Second-Order Payoffs And the Banzhaf Value
First, we suggest and discuss second-order versions of 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
Year of publication: |
[2023]
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Authors: | Casajus, André ; Tido Takeng, Rodrigue |
Publisher: |
[S.l.] : SSRN |
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