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

Sylvain Béal, Eric Rémila and Philippe Solal

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Abstract: 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

Keywords: Game; Theory (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

Published in Discrete Applied Mathematics, 2015, 184, pp.1-13. ⟨10.1016/j.dam.2014.12.019⟩

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Working Paper: A Decomposition of the Space of TU-games Using Addition and Transfer Invariance (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-01096559

DOI: 10.1016/j.dam.2014.12.019

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