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Article Dans Une Revue International Journal of Game Theory Année : 2024

Second-order productivity, second-order payoffs, and the Banzhaf value

Résumé

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.
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Dates et versions

hal-04574752 , version 1 (14-05-2024)

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André Casajus, Rodrigue Tido Takeng. Second-order productivity, second-order payoffs, and the Banzhaf value. International Journal of Game Theory, 2024, ⟨10.1007/s00182-024-00893-4⟩. ⟨hal-04574752⟩
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