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Article Dans Une Revue Operations Research Letters Année : 2015

Decomposition of the space of TU-games, Strong Transfer Invariance and the Banzhaf value

Résumé

The Banzhaf value is characterized on the (linear) space of all TU-games on a fixed player set by means of the Dummy player axiom and Strong transfer invariance. The latter axiom indicates that a player's payoff is invariant to a transfer of worth between two coalitions he or she belongs to. To prove this result we derive direct-sum decompositions of the space of all TU-games. This decomposition method has several advantages listed as concluding remarks.

Dates et versions

halshs-01097165 , version 1 (19-12-2014)

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Citer

Sylvain Béal, Éric Rémila, Philippe Solal. Decomposition of the space of TU-games, Strong Transfer Invariance and the Banzhaf value. Operations Research Letters, 2015, 43 (2), pp.123-125. ⟨10.1016/j.orl.2014.12.011⟩. ⟨halshs-01097165⟩
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