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• W2132096522 abstract "We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player $i$'s prediction value equals the difference between the conditional expectations of $v(S)$ when $i$ cooperates or not. We characterize the prediction value as a special member of the class of (extended) values which satisfy anonymity, linearity and a consistency property. Every $n$-player binomial semivalue coincides with the PV for a particular family of probability distributions over coalitions. The PV can thus be regarded as a power index in specific cases. Conversely, some semivalues -- including the Banzhaf but not the Shapley value -- can be interpreted in terms of informational importance." @default.
• W2132096522 created "2016-06-24" @default.
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• W2132096522 date "2016-12-23" @default.
• W2132096522 modified "2023-09-25" @default.
• W2132096522 title "The prediction value" @default.
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• W2132096522 doi "https://doi.org/10.1007/s00355-016-1012-x" @default.
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