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

Sylvain Béal (), Eric Rémila and Philippe Solal

No 2013-08, Working Papers from CRESE

Abstract: In Béal et al. (2013) 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 Béal et al. (2013), to provide new characterizations of well-known (class of) of allocation rules and also to design new allocation rules.

Keywords: addition invariance; transfer invariance; direct-sum decomposition; allocation rules (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2013-10
New Economics Papers: this item is included in nep-gth
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Downloads: (external link) First version, 2013 (application/pdf)

Related works:
Working Paper: A Decomposition of the Space of TU-games Using Addition and Transfer Invariance (2015)
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