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Article dans une revue Discrete Applied Mathematics Année : 2015

A Decomposition of the Space of TU-games Using Addition and Transfer Invariance

Résumé

In Beal et al. (forthcoming) two new axioms of invariance, called Addition invariance and Transfer invariance respectively, are introduced to design allocation rules for TU-games. Here, we derive direct-sum decompositions of the linear space of TU-games by using the TU-games selected to construct the operations of Addition and Transfer. These decompositions allow us to recover previous characterization results obtained by Beal et al. (forthcoming), to provide new characterizations of well-known (class of) allocation rules and also to design new allocation rules

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Dates et versions

halshs-01096559, version 1 (17-12-2014)

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Sylvain Béal, Éric Rémila, Philippe Solal. A Decomposition of the Space of TU-games Using Addition and Transfer Invariance. Discrete Applied Mathematics, 2015, 184, pp.1-13. ⟨10.1016/j.dam.2014.12.019⟩. ⟨halshs-01096559⟩
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